JP2001216273A - n-ARY GRAPH DISPLAY DEVICE AND STORAGE MEDIUM HAVING n-ARY GRAPH DISPLAY PROCESSING PROGRAM STORED THEREON - Google Patents

Abstract

PROBLEM TO BE SOLVED: To visualize the change of an n-ary numerical value and to deepen the understanding for n-ary numbers in an n-ary graph display device for graphing and displaying the n-ary numerical value. SOLUTION: When the n-ary number is set to X axis, an m-ary number is set to y axis and an 'execution' key is operated, an m-ary value corresponding to an n-ary value is calculated every time the n-ary value of the X axis is counted up, the point of an n value : an m value is plotted on XY coordinates, respective plotting points are connected and an n-ary graph is displayed. Then, a trace pointer P is displayed on the graph by the operation of a 'trace' key and an X coordinate value (n value) and a Y coordinate value (m value) corresponding to the indicating position on the graph of the pointer P moved by a cursor operation are displayed.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an n-ary graph display device for graphing and displaying an n-ary value and a storage medium storing an n-ary graph display processing program.

[0002]

2. Description of the Related Art Conventionally, there are electronic calculators having a graph display function, for example, those which display a graph according to an arbitrary function input by a key input and graphs actual measurement data input by sampling.

[0003] In recent years, electronic computing devices can perform various types of mathematical calculations and have an n-ary calculation function.

An electronic computer equipped with such a graph display function and various calculation functions is widely used as a small portable electronic computer generally called a graph scientific calculator from education to practical use by engineers.

[0005]

However, in the conventional n-ary calculation function of the electronic computer, a desired n-ary number is designated, a simple n-ary calculation process is performed, and the calculation result is numerically displayed. , N-ary values could not be visually displayed, for example, as a graph.

SUMMARY OF THE INVENTION The present invention has been made in view of the above-described problems, and has an n-ary graph display device and an n-ary graph capable of visually grasping a change in an n-ary value and deepening the understanding of the n-ary number. It is an object to provide a storage medium storing a display processing program.

[0007]

According to a first aspect of the present invention, there is provided an n-ary graph display device, wherein an n-ary number set by a base setting means is an X-axis, and an m-ary number is a Y-axis. Since the conversion graph of the m-ary number is displayed, the user can learn while confirming the relationship between the n-ary number and the m-ary number arbitrarily specified by the user on the graph.

In the n-ary graph display device according to the second aspect of the present invention, the n-ary number set by the base setting means is set to the X-axis, the m-ary number to the Y-axis, and the l-ary number to the Z-axis. Since the conversion graph of the n-ary number to the m-ary number to the l-ary number is displayed, the numerical data in which the three elements are expressed in the n-ary with a certain relation can be converted into a three-dimensional graph and confirmed and analyzed.

According to a third aspect of the present invention, there is provided the n-ary graph display device according to the first or second aspect, wherein each of the radix numbers set by the radix setting means is a time. Is set in combination with the number of seconds, minutes, hours, and days, which is the counting unit, so that the time can be learned from a viewpoint different from a normal clock.

According to a fourth aspect of the present invention, there is provided the n-ary graph display device according to any one of the first to third aspects, wherein the n-ary graph display device includes Since the pointer is displayed at an arbitrary position and the numerical value of each axis corresponding to the position of the pointer on the graph is displayed, the analysis and learning of the n-ary number can be performed more easily.

According to a fifth aspect of the present invention, there is provided the n-ary graph display device according to the third aspect, wherein the time corresponding to the time measured by the timing means is displayed on the displayed graph. Since the position is displayed, the concept of carry with respect to time can be easily learned.

According to a sixth aspect of the present invention, there is provided the n-ary graph display device according to the first aspect, wherein at least one of the n-ary number and the m-ary number set by the number setting means. Is designated, the number of carry is specified according to the designated number of carry.
Since the graph display range consisting of the X axis and the Y axis for displaying the conversion graph of base number to m base number is set, the graph display range of n base number to m base number is changed to the desired digit for which the carry of m base number is to be seen. It can be automatically set according to the number of rises.

In the n-ary graph display device according to the seventh aspect of the present invention, when an n-ary number and an m-ary number are set, m-ary numbers corresponding to the set n-ary numbers are calculated. Since m-ary numbers corresponding to a plurality of n-ary numbers obtained in this manner are tabulated and displayed, for example, each n-ary number corresponding to each decimal value of a decimal number Can be displayed in a list as table data.

In the n-ary graph display device according to the eighth aspect of the present invention, when an n-ary number and an m-ary number are set, the set n-ary number is set on the X axis and the m-ary number is set on the Y axis. An n-ary to m-ary conversion graph is displayed. Then, when the set m-ary is changed to a different base, a conversion graph of the n-ary to m-ary in accordance with the changed m-base is displayed together with the displayed conversion graph before the change,
It is possible to easily compare and confirm the state of carry between the n-ary graphs.

In the n-ary graph display device according to the ninth aspect of the present invention, when an n-ary number and first and second m-ary numbers are set,
The set n-ary number is represented by the X-axis, the first and second m
N-ary number with first base m-ary number and second base number with Y-axis as base number
The conversion graph of the m-ary number is displayed, and the displayed first
When an arbitrary position on the graph of m-ary is designated and an addition / subtraction value for an n-ary number corresponding to the specified position on the first m-ary is input, the input addition / subtraction value is Since the position on the graph of the second m-ary and the numerical value of the m-ary corresponding to the numerical value of the n-ary after the addition / subtraction are displayed, the basic operation between any n-ary graphs can be performed on the graph display. You can confirm the execution.

In the n-ary graph display device according to the tenth aspect of the present invention, when a plurality of arbitrary data are graphed and displayed, the X axis of this graph display range is a decimal number, the Y axis is an n number, and Decimal to n-ary graph data corresponding to each n value obtained by sequentially updating the base n value is created, and the decimal number to n corresponding to the sequentially updated n value is created.
Each time the decimal graph data is created, the residual between the decimal data and the n-ary graph data and the graphed data is calculated. Then, the graph data of the decimal number to the n-ary number with the smallest calculated residual is displayed as a regression graph together with the graph data displayed as the graph, and further, the decimal number of the n-ary number with the smallest calculated residual is shown. Since the n-ary number of the graph data is displayed, the data series expressed in the n-ary number can be regressed and analyzed.

In the n-ary graph display device according to the eleventh aspect of the present invention, when an arbitrary fraction is input, the X axis is converted to a decimal number,
A conversion graph of a decimal number to an m-ary number with the denominator input to the Y-axis as the m-decimal number is displayed. When an arbitrary position on the displayed graph is designated, an improper fraction whose decimal value corresponding to the designated position on the graph is the numerator is displayed, and the value of m-decimal is represented by an integer. Is displayed, and the conversion state between the provisional fraction and the mixed fraction can be easily understood using a graph.

In an n-ary graph display device according to a twelfth aspect of the present invention, the X axis is a decimal number, the Y axis is an n number, and
When an arbitrary decimal number value is specified together with the input range of the decimal number, the n
The decimal numbers are sequentially changed, and the conversion graph of the decimal number to the n-ary number corresponding to each n-ary number is continuously switched and displayed. Then, each time the conversion graph of the decimal number to the n-ary number corresponding to each n-ary number whose n-ary number is sequentially changed is switched and displayed, the value of each n-ary number corresponding to the designated arbitrary decimal number value Is displayed, so any 1
A corresponding change in the n-ary value between different n-ary graphs specifying the 0-base value can be confirmed with a continuous change in the graph.

According to a thirteenth aspect of the present invention, in the n-ary graph display device according to the fourth aspect, pointers are displayed at a plurality of arbitrary positions on the displayed conversion graph. Since the numerical value of each axis corresponding to each of the positions of the plurality of pointers on the conversion graph is displayed, the analysis of the n-ary graph can be performed more easily.

In the n-ary graph display device according to a fourteenth aspect of the present invention, the X-axis is a decimal number and the Y-axis is a m-ary number.
A conversion graph of a base number to a m-base number is displayed. When an arbitrary position on the displayed graph is designated, a decimal value and a m-base value corresponding to the position on the specified graph are displayed. At the same time, the m-ary value that is repeatedly reset by a carry is also displayed in parallel with the displayed decimal value, so that the timing of the carry of the m-ary number with respect to the n-ary number can be learned more realistically. .

In the n-ary graph display device according to the fifteenth aspect of the present invention, the X-axis is an n-ary number and the Y-axis is an m-ary number.
A conversion graph of base number to m base is displayed, and the display color of the displayed conversion graph of base n to base m is changed to a different color according to the carry of base m. It is easy to confirm the difference in the carry of, and to learn.

In the n-ary graph display device according to the sixteenth aspect of the present invention, when an arbitrary n-ary number is specified, a random number having a value corresponding to the specified n-ary number is repeatedly generated. Since a plurality of random numbers are arranged and displayed, the mathematical properties of the n-ary number can be learned.

[0023]

Embodiments of the present invention will be described below with reference to the drawings.

FIG. 1 is a block diagram showing the configuration of an electronic circuit of an electronic computer having an n-ary graph display function according to an embodiment of the n-ary graph display device of the present invention.

This electronic computer has a control unit (CPU) 11 composed of a computer or the like.

The control unit (CPU) 11 includes a key input unit 12
Is stored in the ROM 15 in advance in accordance with key input data input from the PC or touch position data input via the position detection circuit 20 from the tablet 14 provided on the display screen of the liquid crystal display unit 13. The system program is started, or the computer control program stored in the external storage medium 16 is read by the storage medium reading unit 17 and started, or the communication network N is transmitted from another computer terminal by the communication control unit 18. The computer 19 starts the computer control program received via the RAM 19, and controls the operation of each part of the circuit using the RAM 19 as a work memory.

The control section (CPU) 11 is connected to the key input section 12, the liquid crystal display section 13, the tablet 14, the position detection circuit 20, the ROM 15, the RAM 19, the recording medium reading section 17, and the communication control section 18. The liquid crystal display unit 13 is connected via a display drive circuit 21.

FIG. 2 shows the key input unit 12 of the electronic computer.
FIG. 4 is a diagram showing an example of the arrangement of various keys provided in the system.

The key input unit 12 includes a numeric / symbol key 12
a, function keys “F1 to F6” 12b, “mode” key 12c, “trace” key 12d, “start” key 12e, “analysis” key 12f, “solve” key 12g, “range” key 12h, “PD” Key 12i,
"Color classification" key 12j, "Regression" key 12k, "Dyn"
"a" key 121, "confirm" key 12m, "re" key 12
n, an "execute" key 12o, an "end" key 12p, a cursor key 12q, and the like.

The numeric / symbol key 12a is composed of a numeric / symbol input key group in which individual keys such as numbers, symbols, and operators are arranged.

Function keys "F1 to F6" 12b
Are arranged along the lower end of the display screen of the liquid crystal display unit 13 and are operated when selecting and specifying icons for executing various functions displayed at the lower end of the display screen.

The "mode" key 12c is an n-ary arithmetic mode for performing an n-ary analysis process, an arithmetic mode for performing an arithmetic operation by inputting an arbitrary arithmetic expression such as an arithmetic operation, or an arbitrary function expression. The operation is performed when selecting and setting various operation modes such as a graph mode for performing a graph drawing process.

In the n-ary operation mode, [A] n-ary number:
N-ary graph mode for displaying m-ary conversion graphs, [B] Fractional: clock graph mode for displaying hourly conversion graphs, [C] Carry-over of hour, month, day, etc. 3D n-ary graph mode for displaying three types of n-ary three-dimensional graphs, [D] Converting and displaying m (n) -ary values for specified n (m) -ary values on an n-ary graph screen N-ary graph solve mode for [E] -specified n-ary number: n-ary graph optimal range setting mode for automatically setting the optimal display range for m-ary and displaying a conversion graph, [F] decimal A decimal-n-base conversion table mode for displaying a correspondence table of n-base values based on [G] n-base: a comparison graph in which the n (m) base is arbitrarily changed while displaying a m-base conversion graph N-ary graph comparison mode for displaying, [H] n1-ary n-ary graph subtraction mode for displaying the subtraction between the graph and n2 decimal graph,
[I] An n-ary regression graph mode for displaying an n-ary regression graph from input data, [J] a provisional fraction: a provisional fractional fraction conversion graph mode for displaying a mixed fraction conversion graph, [K] n N-ary graph dynamic mode for displaying an n-ary graph by sequentially changing the radix, [L] a multiple pointer mode for displaying a plurality of pointers on an n-ary graph, [M] n-ary on an n-ary graph Multiple trace value mode for displaying values in parallel with continuous numerical value and carry reset numerical value, [N] n-ary carry color-coding mode for color-coded display of carry on n-ary graph, [P] specified n-ary N-ary random number generation mode for generating and displaying random numbers of [Q]
N-ary: An n-ary coordinate system graph mode for displaying an m-ary conversion graph on an n-by-m-ary plane can be selected and set independently or in an overlapping manner.

The "trace" key 12d is operated to display a trace pointer on a graph in, for example, the n-ary graph mode.

The "start" key 12e is operated, for example, in the clock graph mode to instruct the start of the clock function.

The "analysis" key 12f is operated, for example, in the clock graph mode when performing graph analysis at a specified time.

The "Solve" key 12g is operated, for example, during the display of an n-ary graph, to activate the n-ary graph solve mode.

The "range" key 12h is, for example, a decimal n
In the hexadecimal conversion table mode, the operation is performed when a table range is input.

The "PD" key 12i is used, for example, in an n-ary graph comparison mode, to select a pull-down menu P for changing an n-ary number.
It is operated when displaying D.

The "color classification" key 12j is operated when, for example, an n-ary graph is being displayed and the n-ary carry color classification mode is activated.

The "regression" key 12k is operated to start drawing a regression graph in, for example, an n-ary graph regression mode.

The "Dyna" key 12l is operated, for example, in the n-ary arithmetic mode to activate the n-ary graph dynamic mode.

The "confirm" key 12m is operated when instructing to confirm selected or key-input data.

The "re" key 12n is operated to repeatedly start the same processing.

The "execute" key 12o is operated when instructing the start of the selected operation mode or the start of processing.

The "end" key 12p is operated to end the currently executed processing.

Cursor keys "↑", "↓", "←", "→" 1
2q is operated when the displayed data is selected, sent, or the cursor is moved.

The tablet 14 is provided on the display screen of the liquid crystal display unit 13 to generate a voltage signal corresponding to the touched position. The tablet 14 outputs a voltage signal corresponding to the touched position. , The coordinates corresponding to the display screen are detected by the position detection circuit 20,
The contents of the operation are determined by the control unit (CPU) 11 according to the touch position coordinates.

The ROM 15 stores in advance system program data that governs the overall processing of the electronic circuit of the present electronic computing device, as well as the n-ary graph mode shown in FIGS. Clock graph mode, Figure 8,
A three-dimensional n-ary graph mode shown in FIG. 9, an n-ary graph solve mode shown in FIGS. 10 and 11, and n shown in FIGS.
Hexadecimal graph optimum range setting mode, 1 shown in FIGS. 14 and 15
0-base n-ary conversion table mode, n shown in FIGS. 16 and 17
Decimal graph comparison mode, n-decimal graph addition / subtraction modes shown in FIGS. 18 and 19, n-decimal regression graph mode shown in FIGS. 20 and 21, provisional fractional zone fraction conversion graph modes shown in FIGS. 22 and 23, FIGS. N-ary graph dynamic mode shown in FIG. 25, multiple pointer mode shown in FIGS. 26 and 27, FIG.
8, multiple trace value mode shown in FIG. 29, FIG. 30, FIG.
The subprogram data controls various operation modes such as an n-ary carry color classification mode shown in FIG. 1, an n-ary random number generation mode shown in FIGS. 32 and 33, and an n-ary coordinate system graph mode shown in FIGS. Certain control program data is also stored in advance.

FIG. 3 is a diagram showing a configuration of a main data memory in the n-ary arithmetic mode secured in the RAM 19 of the electronic computing device.

The RAM 19 has a mode data memory 19
a, X range memory 19b, Y range memory 19c, X
Axis-n-ary value memory 19d, Y-axis-m-ary value memory 19e,
Z-axis / l-ary value memory 19f, n-value memory 19g, m-value memory 19h, l-value memory 19i, three-dimensional table 19
j, table counter 19k, number of carry (C) memory 191, decimal / n-ary conversion table 19m, decimal range memory 19n, step counter (K) 19o, N
(Dynamic) range memory 19p, graph memory 1
9q, and other work memories.

Each of these work memories 19a to 19q ...
Includes a control unit (CP) associated with control processing of various operation modes.
U) The data input / output by the memory 11 is stored, and the specific data content stored in each memory will be described in the following description of the operation.

Next, the operation of the electronic computer having the n-ary graph display function according to the above configuration will be described.

(N-ary graph mode) FIG. 4 is a flowchart showing an n-ary graph mode process in the n-ary arithmetic mode of the electronic computer.

FIG. 5 is a diagram showing a state in which an n-ary: m-ary conversion graph is generated and displayed in the n-ary graph mode processing of the electronic computer.

The mode data of the n-ary graph mode is RAM
When the n-ary graph mode processing shown in FIG. 4 is set in the mode data memory 19a in the memory 19 (step A1), first, as shown in FIG. The input screen for specifying the decimal value and the m-ary value is the liquid crystal display unit 1.
3 where, for example, a decimal number for the X axis,
For the Y axis, specify and enter a quinary number and press the "Execute" key 12.
By manipulating o, the n-ary number (=
10) and the m-ary number (= 5) associated with the Y-axis are stored in the X-axis / n-ary value memory 19d and the Y-axis / m-ary value memory 19e, respectively (step A2).

Then, a display input screen for setting the display coordinate range with respect to the X-axis and the Y-axis is displayed on the liquid crystal display unit 13, and the display coordinate range is set and input, and an "OK" key 1 is input.
When 2o is operated, the respective display coordinate ranges for the X axis and the Y axis are stored in the X range memory 19b and the Y range memory 19c (step A3).

Then, within the display coordinate range of the X-axis stored in the X-range memory 19b, the smallest integer of the n-ary number (= 10) stored in the X-axis-n-ary value memory 19d is stored in the n-value memory. It is set to 19 g (step A4).
Then, an m-ary value corresponding to the smallest n-ary value in the display coordinate range set in the n-value memory 19g is calculated, and the n value and the corresponding m value are respectively n
The values are stored in the value memory 19g and the m-value memory 19h (steps A5 and A6).

Then, in the graph display range displayed on the liquid crystal display unit 13 corresponding to the display coordinate range stored in the X range memory 19b and the Y range memory 19c, the n-ary number stored in the n-value memory 19g Are stored in the graph memory 19q and displayed (step A7), and points corresponding to the previous n and m points that have already been displayed exist. If so, the points n and m of the previous display and the points n and m of the current display are connected by a line segment and displayed (steps A8 → A9).

Then, the n-ary n-value stored in the n-value memory 19g is incremented by 1 and counted up (step A10), and the n-value after this count-up is within the range of the X-axis display coordinate range. If it is determined that there is
Returning to the processing from step A5 again (step A1)
1 → A5), calculation of the m value of the m-ary number corresponding to the counted n value of the n-ary number, memory storage processing of the n value and the m value, display processing of the n and m points, and n of the previous display , M
The display process of connection with the point is repeated (steps A5 to A
9).

As a result, as shown in FIG. 5B, a conversion graph of an arbitrarily designated n-ary value to m-ary value is drawn and displayed on the X and Y coordinates of an arbitrarily set graph. Thereafter, if it is determined in step A11 that the n-value of the n-ary number counted up in step A10 is out of the range of the display coordinate range of the X-axis, the process proceeds to steps A5 to A9. The graph display processing by repetition is ended.

After the conversion graph of the n-ary value to the m-ary value is drawn and displayed, the "trace" key 12d
Is operated, each of the n-values of the n-ary number stored in the n-value memory 19g and the m-value memory 19h and m
The smallest n value of each m value in base and the corresponding m
The value is read, and a pointer P is displayed on the n and m points, for example, as shown in FIG. 5C (step A1).
2 → A13, A14).

At the same time, the n and m values displayed as the pointer P are numerically displayed on the graph display screen (step A15).

Here, when the movement of the pointer P displayed on the graph data is instructed by operating the cursor key 12g, the n value corresponding to the direction of the moving operation and the m value corresponding thereto, that is, For example, when the cursor key 12g of “↑” or “→” is operated, the n value and the next largest value of the current pointer P stored in the n value memory 19g and the m value memory 19h are displayed. The set of m values is read, and the cursor key 1 of "↓" or "←"
If 2g is operated, the next smaller set of n and m values for the current pointer P is read (steps A16 → A17).

Then, returning to the processing from step A14 again, the point on the graph corresponding to the pair of the n-value and the m-value newly read in step A17 is moved and displayed as the pointer P, and Numerical display is performed, whereby the pointer P on the conversion graph of the n-ary value to the m-ary value can be moved and displayed in an arbitrary direction in accordance with the operation of the cursor key 12g. , The n-ary value and the m-ary value are numerically displayed so that the relationship can be clearly known.

Therefore, n in the electronic computing device
According to the hexadecimal graph function, the user can learn while checking the relationship between the n-ary number and the m-ary number arbitrarily specified by the user on the graph.

(Clock Graph Mode) FIG. 6 is a flowchart showing the clock graph mode processing in the n-ary operation mode of the electronic computer.

FIG. 7 is a diagram showing a state in which a conversion graph of fractions: hours is generated and displayed in the clock graph mode processing of the electronic computer.

The mode data of the clock graph mode is stored in the RAM.
When the watch graph mode processing shown in FIG. 6 is started in the mode data memory 19a in the memory 19 (step B1), first, the carry of the time in the fraction m is stored in the X-axis / n-ary memory 19d. The unit “60” is set, and the carry unit “12” or “2” for half a day or one day at time h is stored in the Y-axis / m-ary value memory 19e.
4 "is set (step B2).

Then, as shown in FIG. 7 (A), a display screen of a time graph in which the X axis is replaced by the minute axis M and the Y axis is replaced by the time axis H is displayed on the liquid crystal display unit 13 (FIG. 7A). Step B3), an analog clock T in which the hour hand (short hand) and minute hand (long hand) are adjusted at 12:00 (0 o'clock) is displayed (step B4).

As shown in FIG. 7 (A), the display screen of the clock graph including the minute axis M and the time axis H is displayed on the time axis H every time the value of the minute axis M advances by "60". Is displayed by drawing the n-ary time graph in which the value of "1" is increased by "1" (step B5).

When the "start" key 12e is operated, the fraction value m = 0 is set in the n-value memory 19g, and the time value h = 0 in the m-value memory 19h.
Is set (step B6 → B7), and a pointer P is displayed on the time graph corresponding to the time coordinate (m, n) (step B8).

Then, a clock signal output from a clock circuit built in the control unit (CPU) 11 is confirmed (step B9). The stored fraction value m is counted up (step B10 → B11).

Then, the fractional value m is stored in the X-axis / n-ary value memory 19d.
In a state where it does not match an integer multiple of 0 "(step B12),
In the state where the time value h stored in the m-value memory 19h does not match the carry unit “12” or “24” of the half-day or one-day stored in the Y-axis / m-ary value memory 19e, Step B14), for example, as shown in FIG. 7B, the moving display of the pointer P according to the count-up of the fractional value m is repeated (step B12 → B1).
4 → B16 → B8 to B11).

In this case, the time display on the analog clock T, which is simultaneously displayed, is updated together with the movement display of the pointer P on the clock graph.

Thereafter, the fractional value m counted up in the n-value memory 19g is converted into the carry unit "6" of the time stored in the X-axis / n-ary value memory 19d.
When it is determined that the value matches the integral multiple of 0 ", the time value h stored in the m-value memory 19h is counted up (step B12 → B13). For example, as shown in FIG. Movement display of the pointer P on the time graph and time display of the analog clock T according to the counted up time value h and the fractional value m are performed (steps B14 → B16 → B8).

Further, the time value h counted up in the m-value memory 19h is the carry unit “12” or “24” of the half-day or one-day stored in the Y-axis / m-ary value memory 19e. If it is determined that they match, the fractional values m and m stored in the n-value memory 19g
All the time values h stored in the value memory 19h are reset to “0”, and the movement display of the pointer P from the beginning of the time graph is repeated (step B14 →).
B15, B16 → B8).

When the "end" key 12p is operated, the series of the clock graph mode processing ends (step B16 → end).

On the other hand, in steps B4 and B5,
The analog clock T in which the hour hand (short hand) and the minute hand (long hand) are adjusted at 12 o'clock (0 o'clock) and the value of the time axis H each time the value of the minute axis M advances by "60" are displayed on the liquid crystal display unit 13. When the "analysis" key 12f is operated in a state where the n-ary time graph in which the carry is increased by "1" is drawn and displayed, the hour hand (short hand) and the minute hand (long hand) of the analog timepiece T are moved to the cursor. By operating the key 12g, an adjustment operation is set at an arbitrary time (step B17 → B1).
8).

When the hour hand (short hand) and minute hand (long hand) of the analog timepiece T are adjusted and set at desired times, the "enter" key 12m is operated to operate the hour hand (short hand) and the minute hand (long hand). When the position is determined (step B19), a display range including the range of the minute axis M and the range of the time axis H of the clock graph according to the determined time is determined (step B20), and the minute axis M and the time axis are determined. An n-ary time graph according to the display range of H is drawn and displayed (step B21).

Then, the time corresponding to the position of the hour hand (short hand) and the minute hand (long hand) on the analog timepiece T is read (step B22), and the pointer P is displayed on the time graph (step B23).

When the "re" key 12n is operated, the processing from step B18 is repeated, and
Hour hand (short hand) and minute hand (long hand) in analog clock T
Is set to an arbitrary time, and the display of the time graph and the display of the pointer P are performed (step B24 → B18 to B2).
3).

Therefore, according to the clock graph function of the electronic computer, the time can be learned from a different point of view from a normal clock.

In the clock graph mode function, as shown in FIGS. 7A to 7C, the time value h is updated with the carry for each set fraction value m (= 60). The state is configured to be drawn and displayed by a step-like clock graph in which the fraction value m is continuously changed. For example, FIG. 7 (A ′)
As shown in FIG. 7 (C ′), the set fraction value m (=
60) It may be configured to draw and display a zigzag clock graph in which the fractional value m is reset in accordance with the update of the time value h accompanying the carry every time.

In the description of the clock graph mode function, the operation of the "start" key 12e causes the pointer P on the time graph corresponding to the actual clock signal obtained from the clock circuit in the control unit (CPU) 11. And the update display of the hour hand (short hand) and the minute hand (long hand) on the analog timepiece T, but the "trace" key 12d
Each time is operated, the minute value m is updated, and the movement display of the pointer P on the time graph and the update display of the hour hand (short hand) and the minute hand (long hand) on the analog timepiece T may be performed.

(Three-dimensional n-ary graph mode) FIG. 8 is a flowchart showing the three-dimensional n-ary graph mode processing in the n-ary arithmetic mode of the electronic computer.

FIG. 9 is a diagram showing a state of generating and displaying a conversion graph of seconds: minutes: hours in the three-dimensional n-ary graph mode processing of the electronic computer.

When the mode data of the three-dimensional n-ary graph mode is set in the mode data memory 19a in the RAM 19 and the three-dimensional n-ary graph mode processing shown in FIG. Seconds S for memory 19f
, The carry value “60” to the fraction M is input and set, the carry value “60” to the hour H in the fraction M is input and set to the X-axis / n-ary memory 19d, and the Y-axis is set to m. The carry value “24” of the hour number H to the day number D in the hour number H is input and set to the binary value memory 19e (step C).
1).

Then, based on this, the X axis, Y axis,
If the relationship of the Z axis is a carry of Z (seconds S), X (fractions M) =
The relationship of each axis where Y (hour number H) = + 1 is input with a carry of +1 and X (fraction M), the number of seconds S stored in the l-value memory 19i, and the number of minutes stored in the n-value memory 19g M, m
The relationship of each of the hours H stored in the value memory 19h is set (step C2).

Then, the Y-axis (hour H), X-axis (fraction M), and Z-axis (second S) corresponding to the carry time “24” stored in the Y-axis / m-ary memory 19e. Is determined, and each coordinate axis is displayed on the liquid crystal display unit 13 (step C3).

Then, when drawing of a three-dimensional n-ary graph consisting of seconds S: fraction M: hours H is instructed by operating the "execute" key 12o, it is stored in the Y-axis / m-ary memory 19e. Numerical data corresponding to the number of hours H, the number of minutes M, and the number of seconds S for 24 hours according to the carry time “24” are stored in the l-value memory 19i (the number of seconds S), the n-value memory 19g (the number of minutes M), m
It is generated in the value memory 19h (hour H) and stored in the three-dimensional table 19j (steps C4 and C5).

Then, the numerically corresponding data of the number of hours H, the number of minutes M, and the number of seconds S for 24 hours stored in the three-dimensional table 19j are displayed on the liquid crystal display unit 13 for every three-dimensional data at intervals of, for example, 10 seconds. The coordinates are converted into coordinate values on the display range of the graph by the displayed Y axis (hours H), X axis (fractions M), and Z axes (seconds S) (step C6), and the converted top coordinate points Then, as shown in FIG. 9A, for example, the image is sequentially drawn and displayed on the graph display range (step C7).

In this case, each coordinate is converted from the three-dimensional table 19j and drawn and displayed on the three-dimensional coordinates of the Y axis (hour H), the X axis (fraction M), and the Z axis (second S). The coordinate points are sequentially drawn and displayed in accordance with the reference count value of the three-dimensional table 19j counted by the table counter 19k. Each time one three-dimensional coordinate point is drawn and displayed (step C7), immediately before that, A line is drawn between the displayed coordinate points by a line (step C8 → C9),
The count value of the table counter 19k is counted up (steps C10, C11 → C7).

When it is determined that the count value of the three-dimensional table 19j counted up by the table counter 19k exceeds the number of elements of all three-dimensional data stored in the three-dimensional table 19j, Completes a series of graph display processing for the three-dimensional coordinates of the Y axis (hour H), X axis (fraction M), and Z axis (second S) (step C11 → end).

Here, when the "trace" key 12d is operated, as shown in FIG. 9B, a three-dimensional conversion graph of the number of seconds S: the number of minutes M: the number of hours H is displayed for each key operation. The pointer P is moved and displayed above, and the numerical values of the number of seconds S, the number of minutes M, and the number of hours H corresponding to the display point of the pointer P are simultaneously displayed.

Therefore, 3 in the electronic computing device
According to the dimensional n-ary graph function, not only the number of seconds: the number of minutes: the number of hours, but also the number of hours: the number of days: the number of months, the numerical data of which three elements are expressed in n-ary with a fixed relation, It can be converted into a dimensional graph and the carry state can be confirmed and analyzed.

(N-ary graph solve mode) FIG. 10 is a flowchart showing the n-ary graph solve mode processing in the n-ary arithmetic mode of the electronic computer.

FIG. 11 is a view showing a designated display state of a converted numerical value corresponding to a designated numerical value on an n-ary graph accompanying the n-ary graph solve mode processing of the electronic computer.

When the mode data of the n-ary graph solve mode is set in the mode data memory 19a in the RAM 19 and the n-ary graph solve mode processing shown in FIG. 10 is started, first, the n-ary number with respect to the X axis and the Y axis M for
The base numbers are arbitrarily input and set as, for example, a decimal number and a quinary number, respectively.
Stored in the axis-m-ary value memory 19f (step D
1).

Then, as shown in FIG. 11A, for example, an n-ary graph with the X-axis being a decimal number and the Y-axis being a quinary number is subjected to the same processing as steps A1 to A11 in FIG. The drawing is displayed on the unit 13 (step D2).

Here, the "solve" key 12g is operated and, for example, an arbitrary Y value which is a quinary corresponding to the Y axis.
When the coordinate value "24" is input and the "OK" key 12m is operated (step D4 → D7), the decimal X value "1" corresponding to the input quinary Y coordinate value "24"
4 "is calculated (step D8), and the graph display range corresponding to the Y coordinate value" 24 "of the quinary number and the X value" 14 "of the corresponding decimal number is recalculated (step D9).

Then, as shown in FIG. 11B, the coordinate values of the X axis and the Y axis are reset based on the recalculated graph display range, and the X axis is a decimal number and the Y axis is 5
The n-ary graph as a base number is redrawn and displayed (Step D)
10).

Then, as shown in FIG. 11 (C), on the redrawn and displayed n-ary graph of the decimal number to the quinary number, the input Y coordinate value “24” of the quinary number is calculated. The coordinate point with the decimal X value "14" is displayed by the pointer P (step D11), and the X value "1" is displayed.
4 "and the Y value" 24 "are displayed together (step D1
2).

On the other hand, when the "solve" key 12g is operated and, for example, an arbitrary X coordinate value "14", which is a decimal number corresponding to the X axis, is input and the "confirm" key 12m is operated ( (Step D4 → D5), a quinary Y value “24” corresponding to the input decimal X coordinate value “14” is calculated (step D6), and the Y value “14” corresponding to the decimal number X is calculated. The graph display range corresponding to the quinary Y value “24” is calculated again (step D).
9).

Then, similarly to the above, the coordinate values of the X-axis and the Y-axis are reset based on the recalculated graph display range, and the n-ary graph with the X-axis being a decimal number and the Y-axis being a quinary number is again reproduced. It is rendered and displayed (step D10).

Then, on the redrawn and displayed decimal number-to-quinary n-ary graph, the inputted decimal X-coordinate value “14” and the calculated Y-value “24” of the decimal number are displayed. Are displayed by the pointer P (step D11), and both the X value “14” and the Y value “24” are displayed (step D12).

Thereafter, when the "re" key 12n is operated to re-execute the solve function for the decimal-to-quinary n-ary graph, the X value corresponding to the current display position of the pointer P and The display is updated with the Y value cleared,
Return to the processing from step D4 (step D13 →
D14, D15).

Therefore, n in the electronic computing device
According to the base graph solve function, m corresponding to an arbitrary n-ary value or m-ary value on a conversion graph of n-ary number to m-ary number
The conversion display of the decimal value or the n-ary value can be performed.

(N-ary graph optimal range setting mode) FIG.
5 is a flowchart showing an n-ary graph optimal range setting process in the n-ary arithmetic mode of the electronic computing device.

FIG. 13 is a diagram showing an operation display state associated with the n-ary graph optimum range setting processing of the electronic computer.

When the mode data of the n-ary graph optimum range setting mode is set in the mode data memory 19a in the RAM 19 and the n-ary graph optimum range setting mode processing shown in FIG. 12 is started (step E1), FIG. As shown in (A), an n-ary number associated with the X-axis and an m-ary number associated with the Y-axis are input, for example, with the X-axis being decimal and the Y-axis being quinary, and the X-axis / n-ary value memory 19d, respectively. Y axis-
It is stored and set in the m-ary value memory 19e (step E
2).

Further, the desired number of carry C for the m-ary number of the Y axis is inputted and stored in the carry number memory 191 (step E3).

When the execution of the n-ary graph display is instructed by operating the "execute" key 12o (step E).
4) The minimum display position Xmin of the X axis on the display screen of the liquid crystal display unit 13 is set corresponding to a predetermined margin (step E5), and the minimum display position of the Y axis on the display screen is set. Ymin is also set corresponding to a predetermined margin (step E6).

The maximum display position Xmax of the X-axis on the display screen of the liquid crystal display unit 13 is determined by multiplying the multiplied value of the n-ary value associated with the X-axis by the inputted carry count C. (Step E7), and the maximum display position Yma of the Y-axis on the display screen is set.
n is also set by adding a predetermined margin to the multiplied value of the m-ary value associated with the Y axis and the input carry number C (step E8).

Thus, a graph display range on the display screen of the liquid crystal display unit 13 by the X axis and the Y axis is set. In the set graph display range,
For example, as shown in FIG. 13B, according to the same n-ary graph drawing processing as in steps A4 to A11 in FIG.
A graph including the specified number of carry C of n-ary to m-ary is displayed (step E9).

FIG. 13C is a diagram showing an example of setting a graph display range automatically calculated on the basis of the arbitrarily input n-ary value, m-ary value, and m-ary carry count C.

Therefore, n in the electronic computing device
According to the optimal graph setting range setting function, the graph display range of the n-ary number to the m-ary number can be automatically set in accordance with a desired number of carry C in which the carry of the m-ary number is to be seen.

(Decimal N-ary Conversion Table Mode) FIG.
9 is a flowchart showing a decimal n-ary conversion table process in the n-ary operation mode of the electronic computing device.

FIG. 15 is a view showing an operation display state accompanying the decimal / n-base conversion table processing of the electronic computer.

When the mode data of the decimal n-ary conversion table mode is set in the mode data memory 19a in the RAM 19 and the decimal n-ary conversion table mode processing shown in FIG. 14 is started (step F1), for example, as shown in FIG. Fifteen
As shown in (A), a ternary number and a hex number are sequentially input as arbitrary n-ary values for a decimal number, and a "confirm" key 12 is input.
m is determined (steps F2 to F5).

By operating the "execute" key 12o, creation and execution of a conversion table between a ternary number and a ternary number for the decimal number is instructed (step F4), and a decimal value as a reference for conversion is arbitrarily input. Therefore, when the "range" key 12h is operated (step F6), a decimal value input screen is displayed, for example, 5, 11, 13, 7, 9
And an arbitrary decimal value is input as a range and stored in the decimal range memory 19n (steps F7 and F8).

On the other hand, in the case where the list data already stored in the RAM 19 is used without arbitrarily inputting the decimal value as the conversion reference, the cell counter for the list data memory is set to the initial value. It is set to "1" (steps F6 → F9 → F10).

When an arbitrary decimal value "5, 11, 13, 7, 9" stored in the decimal range memory 19n is used, the cell counter for the decimal range memory 19n is set to the initial value. (Step F
9 → F11).

Then, a list of decimal values stored in the list data memory designated by the count data of the cell counter, or the decimal range memory 1
Each of the decimal values stored in 9n is sequentially read out as the count data is counted up, and the n-ary value (for example, a ternary value and a hexadecimal value) corresponding to the read-out decimal value is read. Is calculated and stored in the decimal / n-ary conversion table 19m (steps F12 to F15).

For example, when creating an n-ary conversion table corresponding to an arbitrary decimal value "5, 11, 13, 7, 9" stored in the decimal range memory 19n,
Each decimal value “5, 11,...,” Which is sequentially read according to the counter value for the cell counter of the decimal range memory 19n.
13,7,9 "corresponding to the ternary value" 12,3
2,41,21,30 "and the hex value" 5,14,16,
10, 12 ”is calculated, and the decimal / n-ary conversion table 1
9m (steps F6-F9 → F11-F1
5).

When the reading of all the decimal values from the decimal range memory 19n and the conversion to the n-ary values are completed, the decimal / n-ary conversion table 19
The conversion table of the decimal number to the ternary number and the ternary number stored in m is read and displayed on the liquid crystal display unit 13 as shown in FIG. 15B (steps F15 → F16).

Therefore, 1 in the electronic computing device
According to the 0-base n-ary conversion table function, each of the decimal numbers 10
The conversion value of each arbitrary n-ary number corresponding to each of the binary values can be viewed as a table data in a list display.

(N-ary graph comparison mode) FIG. 16 is a flowchart showing an n-ary graph comparison process in the n-ary operation mode of the electronic computer.

FIG. 17 is a diagram showing an operation display state associated with the n-ary graph comparison processing of the electronic computer.

When the mode data of the n-ary graph comparison mode is R
When the n-ary graph comparison mode processing shown in FIG. 16 is set in the mode data memory 19a in the AM 19 (step G1), the n-ary value corresponding to the X-axis
When the m-ary value corresponding to the Y-axis is arbitrarily input and determined, the input n-ary value is stored in the X-axis-n-ary value memory 19d, and the input m-ary value is stored in the Y-axis-m It is stored in the binary value memory 19e (step G2).

Then, when the "execute" key 12o is operated (step G3), for example, as shown in FIG. 17A, an n-ary pair m with an n-ary number in the X-axis direction and an m-ary number in the Y-axis direction. The progress graph is displayed on the liquid crystal display unit 13 through the same processing as in steps A4 to A11 in FIG. 4 (step G).
4) The n-ary value for the X-axis and the m-ary value for the Y-axis are displayed as, for example, "X: 10" and "Y: 5" (step G5).

Here, the m-ary value “Y:” displayed on the Y-axis, for example, by the cursor pointer A on the graph display screen.
When the "PD" key is operated by designating "5", the m-ary value "5" associated with the Y axis becomes active (step G6), and as shown in FIG. On the other hand, a pull-down menu PD for changing the currently set m-ary value "5" is displayed (step G7).

After indicating the m-ary value pull-down menu PD displayed along the Y-axis with the cursor pointer A and displaying an inverted cursor on the menu PD (step G8), the inverted cursor is displayed. When the user selects and moves to an arbitrary m-ary (for example, “8”) position in the pull-down menu PD and operates the “OK” key (step G9)
To G11), a conversion table for graph display based on the selected Y-axis m-ary number “8” and the X-axis n-ary number “10” is created and stored in the RAM 19 (step G12).

Here, when the graph data currently displayed on the liquid crystal display unit 13 is a graph displayed based on the input of a mathematical expression, the graph data corresponding to the mathematical expression is temporarily saved in a memory in the RAM 19. (Step G13 →
G14).

Then, the m-ary number “8” of the Y-axis and the n-axis of the X-axis after selection and change created and stored in step G12 are stored.
The display color and display format of the graph display data are determined based on the base number "10", and as shown in FIG. 17C, the already displayed Y-axis is a quinary number and the X-axis is a decimal number. The image is drawn and displayed on the screen (step G1
5, G16).

As a result, the pull-down menu PD
The graph corresponding to the m-ary number of the Y-axis arbitrarily selected in the above can be displayed by being superimposed on the graph screen of the n-ary number to the m-ary number which has been displayed so far.
Comparison display of hexadecimal graph data becomes possible.

The pull-down menu PD is displayed in association with the X-axis by operating the cursor pointer A, and the n-ary number associated with the X-axis is changed. It is, of course, possible to perform a comparison display.

When the "end" key 12p is operated, the graph data based on the input of the mathematical expression saved in the memory in the RAM 19 is read out and the liquid crystal display 13
Is displayed again, and the series of n-ary graph comparison processing ends (steps G17 → G18).

Therefore, n in the electronic computing device
According to the ternary graph comparison function, a new graph in which the n-base or m-base is arbitrarily changed is further superimposed and displayed on a graph display screen of an arbitrary n-base to m-base, and a digit between each n-base graph is displayed. It is possible to easily compare and confirm the rising state and the like.

(N-ary graph addition / subtraction mode) FIG. 18 is a flowchart showing an n-ary graph subtraction process in the n-ary arithmetic mode of the electronic computer.

FIG. 19 is a view showing an operation display state accompanying the n-ary graph subtraction processing of the electronic computer.

When the mode data of the n-ary graph subtraction mode is R
In the state in which the n-ary graph subtraction mode processing shown in FIG. 18 is set in the mode data memory 19a in the AM 19 (step H1), the m-ary for the first graph that associates the X-axis with the Y-axis as a decimal number. The value (m1 = 15) and the m-ary value (m2 = 9) for the second graph are inputted and determined in an arbitrary base number (steps H2 and H3), and the "execute" key 1
When 2o is operated (step H4), for example, FIG.
As shown in (A), two graphs of decimal vs. m1 and decimal vs. m2 with decimal numbers in the X axis direction and m1 (= 15 decimal numbers) and m2 (= 9 decimal numbers) in the Y axis direction are shown. Are displayed on the liquid crystal display unit 13 through the same processing as in steps A4 to A11 in FIG. 4, and the m1-ary value "15" and the m-binary value "9" are displayed near the top of each graph (step H).
5).

Here, for example, when the "-" key and the "execute" key 12o are successively operated to instruct subtraction between the respective n-ary graphs, one of the n-ary graphs (for example, decimal:
The first trace pointer P1 is displayed on the (hexadecimal graph) and arbitrarily moved and displayed on the first n-ary graph by operating the cursor key 12g (steps H6 to H).
8).

Then, as shown in FIG. 19B, the first trace pointer P1 is moved and displayed at a position of an arbitrary decimal number (for example, "23") on the decimal: decimal graph. After the subtraction source is confirmed by operating the "confirm" key 12m (step H9), when the subtraction value "8" is inputted by a decimal value (step H10), the first trace pointer P1 is set to decimal: 15. In addition to sequentially moving and displaying in the subtraction direction from the position of the subtraction source on the decimal graph, a decimal subtraction value Δ-n corresponding to the movement of the pointer P1 is also changed and displayed (steps H11 to H1).
3).

Then, as shown in FIG. 19C, the first trace pointer P on the decimal: decimal graph
Subtraction numerical value Δ displayed with movement display from the subtraction source of 1
If it is determined that −n has reached the subtraction value “8” input in step H10, the other n-ary graph corresponding to the X coordinate value of the first trace pointer P1 at that time, decimal: The value of the m-binary number “2” on the 9-digit graph
7 "is calculated and detected, and the second trace pointer P2 is displayed at the corresponding position on the decimal: ninth graph (steps H13 → H14, H15).

Then, the second on the decimal: nine-base graph
An auxiliary line is displayed from the display position of the trace pointer P2 in the Y-axis direction, and the m-binary value "27" of the corresponding position calculated in step H14 is displayed as a subtraction solution (steps H16 and H17).

Thus, one n-ary graph 10
Hexadecimal: Using the hexadecimal value "23" of the hexadecimal graph as a subtraction source,
The position on the other n-ary graph, that is, the decimal: nine graph in the case where "8" is subtracted by the decimal number, and the ninth-digit value "27" are obtained and displayed.

Thereafter, when the "re" key 12n is operated, the display of the trace pointers P1 and P2, the display of the subtraction value Δ-n, the display of each auxiliary line, and the display of the solution are cleared. Only the one and the other graphs are re-displayed (steps H18 → H19, H20).
The subtraction operation display from step H7 is repeated.

When performing the addition process of the n-ary graph, the first pointer P1 is displayed by specifying the coordinate value of the addition source on one of the n-ary graphs of the addition source, and the addition value of the decimal number is displayed. To move and display the first pointer P1 on one of the n-ary graphs. Then, a second pointer P2 is displayed at a position on the other n-ary graph corresponding to the X coordinate value of the first pointer P1 moved and displayed on one of the n-ary graphs by the input added value, The Y coordinate value corresponding to the second pointer P2 on the other n-ary graph is displayed as a solution.

Therefore, n in the electronic computing device
According to the ternary graph addition / subtraction function, while a plurality of n-ary graphs are displayed on the same screen, an arbitrary coordinate position on one graph is designated as a subtraction source or an addition source, and an arbitrary subtraction value or an addition value By inputting, the coordinate value on the other graph corresponding to the coordinate value after the addition or subtraction can be detected and displayed, and the basic operation between any n-ary graphs can be confirmed on the graph display can do.

(N-ary regression graph mode) FIG. 20 is a flowchart showing the n-ary regression graph processing of the electronic computer.

FIG. 21 is a diagram showing an operation display state accompanying the n-ary regression graph processing of the electronic computer.

When the mode data of the n-ary regression graph mode is R
While the n-ary regression graph mode processing shown in FIG. 20 is set in the mode data memory 19a in the AM 19, data obtained in advance, such as arbitrary experimental data and statistical data, is numerically input (step I1). ), "Go"
When the key is operated (step I2), the input data is graphed and displayed on the liquid crystal display unit 13 as shown in FIG. 21A (step I3).

Here, when the "regression" key 12k is operated and the execution input of the n-ary regression is performed in order to analyze what graph data is similar to the n-ary graph of the base number (step I4). First, the X-axis is set to a decimal number, and "1" is set as an n-ary value corresponding to the Y-axis (step I).
5).

Then, the n-ary graph data of the unary number is created (step I6), the residual of the input and displayed graph data with each input data is calculated (step I7), and is saved in the save memory. If the current residual is determined to be small by comparison with the residual of the previous n-ary graph (step I8) (the first time, there is no evacuation data for comparison and the current residual is determined to be small) In this case, the current n-ary value and the residual of the n-ary graph with respect to the input graph are saved in the save memory (step I9 → I
10).

Then, in a state where the n-ary value is updated and set to "2" (step I11) and it is determined that the value does not exceed a preset n-ary number (for example, "9"),
Returning to the processing from step I6, an n-ary graph corresponding to the updated and set n-ary number "2" is created, and the residual calculation with the input graph data and the comparison / judgment are performed in the same manner as described above (step I12 → I6 to I9).

The smaller the residual between the input graph data and the n-ary graph data corresponding to a new n-ary value that is sequentially updated and set, the smaller the content of the save memory is the updated n-ary number And the minimum residual is rewritten, and the n-ary number is further updated (steps I9 to I11). After that, the residual between the n-ary graph data corresponding to a certain n-ary number and the input graph data is set to the previous value. n
If it is determined that the residual is larger than the residual graph, the n-ary number is further updated without rewriting the save memory, and the residual calculation with respect to the corresponding new n-ary graph with respect to the input graph is performed. Comparison and judgment are performed (steps I9 → I11, I12 → I6 to I9).

When the repeatedly updated and set n-ary number exceeds a predetermined n-ary number, for example, as shown in FIG. An n-ary graph of a base number, that is, an n-ary graph with the smallest residual over the input graph data is drawn and displayed (step I12 → I13), and FIG.
As shown in FIG. 1 (C), the n-ary number is displayed (step I14).

Therefore, n in the electronic computing device
According to the binary regression graph function, it is possible to perform regression and analysis of a data series represented by an n-ary number.

(Tentative Fractional Zone Fractional Conversion Graph Mode) FIG. 22
9 is a flowchart showing a provisional fractional zone fraction conversion graph process of the electronic computing device.

FIG. 23 is a view showing a fractional value display state by an n-ary graph accompanying the provisional fractional zone fractional conversion graph processing of the electronic computer.

With the mode data of the provisional fractional zone fraction conversion graph mode set in the mode data memory 19a in the RAM 19 and the provisional fractional zone fraction conversion graph mode process shown in FIG. 22 activated (step J1), Is input (step J2) and the "execute" key 12o is operated (step J3), a decimal number is associated as an n-ary number for the X-axis, and a m-ary number for the Y-axis. The value of the denominator of the input fraction is associated (step J4).

That is, if the fraction input as a numerical value is, for example, "5/7", the denominator "7" is associated with the Y-axis m-ary number.

Then, n (=) associated with the X axis
10) A graph of the m (= 7) base number associated with the base number and the Y axis is created and displayed as shown in FIG. 23 (step J5), and the pointer P is displayed on the graph (step J6). ), 10 corresponding to the pointer position
The hexadecimal X coordinate value is displayed as the provisional fraction value of the input fraction, and the hex Y coordinate value corresponding to the pointer position is displayed as the mixed fraction value of the input fraction (step J7). ).

Then, the n (= 10) base number vs. m (=
7) The position of the pointer P displayed on the graph of the base number is
When the cursor is moved in accordance with the operation of the cursor key 12g, a decimal X coordinate value updated corresponding to the position of the pointer P is displayed as a provisional fractional value for each movement operation.
The Y-coordinate value in hex is displayed as a mixed numerical value (steps J8 to J11).

That is, when the denominator of the input fraction is "7" and the Y-axis is associated with a hex number, the values of the decimal X-axis are "1" to "6". In the same manner, the value of the Y-axis, which is a 7-digit number, also changes with a value of “1” to “6”, and both the provisional fraction value and the mixed fraction value are displayed as “1/1”.
7 "to" 6/7 ".

Further, the pointer P is moved and displayed by the cursor operation. For example, as shown in FIG.
When the X coordinate value corresponding to the pointer P is “8”, the corresponding Y coordinate value of the hex number is “11”, so that the provisional fraction value is “8/7” and the band fraction value is Is "1 and 1 /
7 ".

That is, the pointer trace value in the Y-axis direction represents an integer value of a mixed fraction having a m-ary value associated with the Y-axis as a denominator and a numerator value, and the pointer trace value in the X-axis direction. Represents the numerator value of the improper fraction with the same m-ary value as the denominator.

Therefore, according to the provisional fractional zone fraction conversion graph function in the electronic computer, it is noted that the relationship between the denominator value of the fraction and the numerator value is the same as the relationship of the carry of the n-th signal. Is displayed as a decimal number and the Y-axis is the base of the denominator value. The X coordinate of the position indicated by the pointer P on the graph is displayed as a provisional fraction value, and the Y coordinate value is displayed as a mixed value. And the conversion state of the mixed fraction can be easily understood using a graph.

(N-ary graph dynamic mode) FIG. 24
9 is a flowchart showing an n-ary graph dynamic process of the electronic computing device.

FIG. 25 is a diagram showing an operation display state accompanying the n-ary graph dynamic processing of the electronic computer.

When the mode data of the dynamic graph mode is set in the mode data memory 19a in the RAM 19 by operating the "Dyna" key 121 (step K1), first, as shown in FIG. A screen for inputting a drawing function to be performed is displayed (step K2).

Here, when the n-ary drawing function is specified, an input setting screen for an n-ary change range in the n-ary number which is the specified drawing function is displayed as shown in FIG. K3), where, for example, [Nmin: 2
... Nmax: 5], that is, a dynamic range of an n-ary graph from a binary number to a quinary number is set and stored in the N-range memory 19p, and furthermore, a specific value in a decimal number to see a change in each n-ary number For example, when "6" is input (step K4 → K5) and the "execute" key 12o is operated (step K6), first, the value of the n-ary number to be graphed is set in the specified range [n = 2 to 5]. Is set to the minimum value "2" (step K7).

Then, after creating n-ary graph data in which the X coordinate is a decimal number and the Y coordinate is an n-ary number (binary number) and is stored in the memory (step K8), the n-ary number of the Y coordinate is subsequently converted to the n-ary number. Each n-ary graph data in which the Y coordinate is a ternary number, a quaternary number, and a quinary number, which is updated by [n + 1] in the designated range [n = 2 to 5] stored in the N range memory 19p, is created. Are similarly stored in the memory (steps K9 → K10 → K8...).

Then, when the graph data for all the n-ary numbers in the specified range is created and stored, first,
A binary n-ary graph that is the minimum value of the specified range [n = 2 to 5] is called and displayed (steps K9 → K11,
K12) The specified value “6” in decimal notation designated and input in steps K4 and K5 is displayed as the X coordinate value, and the pointer P is displayed at the corresponding position on the graph (steps K13 → K14). And this pointer P
Is displayed, and the binary value “30” corresponding to the designated decimal value “6” is changed to n.
It can be confirmed on the hexadecimal graph (step K15).

Subsequently, the n-ary number in the specified range [n = 2 to 5] is updated, a ternary n-ary graph is called and displayed (steps K16 → K17 → K12), and the steps K4 and K5 are again performed. The specified value "6" in decimal number designated and input in is displayed as the X coordinate value, and the pointer P is displayed at the corresponding position on the graph (step K1).
3 → K14). Then, the n-ary value "20" corresponding to the position of the pointer P is displayed, and the ternary value "20" corresponding to the designated decimal value "6" can be confirmed on the n-ary graph (step S1). K15).

Thereafter, steps K16 → K1
7 → K12 to K15 are repeated, and FIG.
(C), as shown in FIG. 25 (D), display of n-ary value “12” corresponding to specified value “6” in quaternary n-ary graph, specified value “6” in quinary n-ary graph Are sequentially displayed, and a dynamic display is performed. When it is determined that all the dynamic graph displays within the specified range [n = 2 to 5] have been performed. The series of n-ary graph dynamic processing ends (step K16 → end).

Therefore, n in the electronic computing device
According to the decimal graph dynamic function, a change in a corresponding n-ary value between different n-ary graphs specifying an arbitrary decimal value can be confirmed with a continuous change of the graph.

(Multiple Pointer Mode) FIG. 26 is a flowchart showing a multipointer process on the n-ary graph display of the electronic computer.

FIG. 27 is a diagram showing an operation display state associated with a plurality of pointer processes on the n-ary graph display of the electronic computer.

With the mode data of the plural pointer mode in the n-ary graph mode set in the mode data memory 19a in the RAM 19 (step L1), an arbitrary n-ary number for the X axis and an arbitrary m-ary number for the Y axis But,
When the X-axis (decimal) is determined and input as the Y-axis (quaternary) (step L2), and the "execute" key 12o is operated to give an instruction to draw an n-ary graph (step L3), FIG.
As shown in FIG. 27A, a decimal: quaternary n-ary graph in which the X-axis is a decimal number and the Y-axis is a quaternary number is drawn and displayed through the same processing as steps A4 to A11 in FIG. (Step L4).

Here, when the "trace" key 12d is operated to instruct the execution of the graph trace (step L)
5), a first trace pointer P1 on the n-ary graph
Is displayed (step L6), moved to an arbitrary position on the n-ary graph according to the operation of the cursor key 12q (step L7), and n of the X coordinate corresponding to the moved position of the pointer P1 is displayed. The binary value and the m-ary value of the Y coordinate are displayed (step L8).

Then, the first trace pointer P1
And the current screen including the numerical display of the n-ary value and the m-ary value corresponding to the P1 position is stored in the memory and held as it is (steps L9 to L11), and as shown in FIG. The pointer display coordinate memory is set, and the second trace pointer P2 is displayed on the n-ary graph (step L12).

When the cursor key 12q is further operated, the second trace pointer P2 is moved and displayed at an arbitrary position on the n-ary graph (step L1).
3) The n-ary value of the X coordinate and the m-ary value of the Y coordinate corresponding to the moving position of the pointer P2 are displayed (step L1).
4).

Thus, the state of conversion between a plurality of n-ary values and m-ary values on an arbitrary n-ary: m-ary graph can be easily confirmed on the graph screen. 1
When 2p is operated, the series of pointer processing on the series of n-ary graphs ends (step L15 → end).

Therefore, n in the electronic computing device
According to the multiple pointer function on the hexadecimal graph, any n
Hexadecimal: Since not only can a conversion graph of m-ary be displayed, but also a plurality of trace pointers P1 and P2 can be displayed on the graph and respective n-ary and m-ary values at each pointer position can be displayed, an n-ary graph Can be more easily analyzed.

(Multiple Trace Value Mode) FIG. 28 is a flowchart showing the multiple trace value processing on the n-ary graph display of the electronic computer.

FIG. 29 is a diagram showing an operation display state associated with a plurality of trace value processes on the n-ary graph display of the electronic computer.

With the mode data in the multiple trace value mode on the n-ary graph mode set in the mode data memory 19a in the RAM 19 (step M1), an arbitrary n-ary number for the X axis and an arbitrary m for the Y axis When a base number is determined and input as X axis (decimal): Y axis (quinary) (step M2), a parallel display function of counter reset display and serial counter display at the time of carry is set (step M3). .

When the "execute" key 12o is operated to give an instruction to draw an n-ary graph (step M4), the same processing as in steps A4 to A11 in FIG. 4 is performed, and as shown in FIG. As shown, the X axis is a decimal number,
A decimal: quinary n-ary graph with the Y-axis as a quinary is drawn and displayed (step M5).

Here, when the "trace" key 12d is operated to instruct execution of graph tracing (step M).
6) The trace pointer P is displayed on the n-ary graph (step M7), and the trace coordinates corresponding to the current position of the pointer P are calculated (step M8).

Then, in step M3, it is determined that the X-axis counter display is set to the parallel (two-way) display of the carry reset counter and the serial counter (step M9). The n-ary value of the X axis corresponding to the current position is calculated and stored as continuous counter data X (step M10).

Further, Y corresponding to the current position of the pointer P
The number of carry C of the axis is calculated and stored (step M11).

Then, the X-axis serial counter data X corresponding to the current position of the pointer P and the number of carry C on the Y-axis, and the m-ary number “5” set on the Y-axis, calculated and stored in steps M10 and M11. "X-
(C × m base number) → X ′ ”is used to calculate and store the reset counter data X ′ at the X-axis carry (step M12).

Then, as shown in FIG. 29B, the continuous counter data X (= 5) on the X axis (decimal number) corresponding to the current position of the pointer P on the n-ary graph and the carry reset counter The data X '(= 0) is "5
(0) "(step M1
3, M14) and the m-ary value (= 10) of the Y axis (quinary) are displayed (step M15).

As a result, the X coordinate corresponding to the current position of the trace pointer P displayed on the n-ary graph has a serial counter value X of the n-ary number (decimal number) and a digit of the m-ary number on the Y-axis side. A parallel display X (X ') with the counter value X' which is reset in response to the rise is made, and the trace is moved to an arbitrary position on the n-ary graph in accordance with the operation of the cursor key 12q. When the pointer P is moved and displayed (steps M16 → M17 → M7), similarly to the above, when the carry counter data X of the X-axis (decimal number) corresponding to the current position of the pointer P after the movement and carry-up, Calculation parallel display X with reset counter data X '
(X ') and the display of the m-ary value of the Y axis (quinary) are repeated (steps M8 to M15).

By operating the "end" key 12p, the multiple trace value processing accompanying the series of n-ary graph display is ended (step M16 → end).

Therefore, n in the electronic computing device
According to the multiple trace value function on the hexadecimal graph, any n
Hexadecimal (X-axis): In addition to displaying a m-ary (Y-axis) conversion graph, the X coordinate value corresponding to the current position of the trace pointer P that can be moved and displayed on the graph is converted into an n-ary continuous counter value X And a counter value X 'reset in accordance with the carry of the m-ary number, can be displayed in parallel X (X').
The carry timing of the m-ary number with respect to the n-ary number can be learned more realistically.

If the n-ary graph is, for example, a clock graph in which the X-axis is seconds and the Y-axis is minutes, a continuous value of a second count is set in the serial counter value X.
In the carry reset counter value X ', a second count value reset every 60 seconds of the second count is set.

(N-ary Carry Color Classification Mode) FIG. 30 is a flowchart showing the n-ary carry color classification processing on the n-ary graph display of the electronic computer.

FIG. 31 is a diagram showing an operation display state accompanying the n-ary carry color classification processing on the n-ary graph display of the electronic computer.

The mode data of the n-ary graph mode is RAM
In the state set in the mode data memory 19a in step 19 (step N1), an arbitrary n-ary number with respect to the X axis and Y
An arbitrary m-ary number for the axis is represented by an X-axis (decimal): a Y-axis (5
When the "execute" key 12o is operated to instruct drawing of an n-ary graph (step N3), steps A4 to A in FIG. 4 are performed.
Through the same processing as in FIG. 11, as shown in FIG.
A decimal: quinary n-ary graph in which the X-axis is a decimal number and the Y-axis is a quinary number is drawn and displayed (step N4). At this time, in the n-ary graph drawn and displayed, the entire area of the line segment is displayed in the normal color red.

When the "color classification" key 12j is operated (step N5), the minimum value of the X coordinate value in the n-ary graph display range is set as Xmin, and the maximum value is set as Xmax (step N6). , X counter to Xmin
Is set (step N7), and the value (n value) of this X counter value in an n-ary number is calculated (step N7).
8).

Here, it is determined whether there is a carry based on the n-ary number between the newly calculated n value this time and the n value stored in the memory by the previous calculation (step N).
9) If it is determined that there is no carry, a value (m value) in the m-ary in the X counter value is calculated (step N9 → N12).

Further, it is determined whether or not there is a carry based on the m-ary number between the m value newly calculated this time and the m value stored in the memory by the previous calculation (step N).
13) If it is determined that there is no carry, the X counter value is counted up (step N13 → N1).
6) If it is determined that the value does not exceed the Xmax,
The processing from step N8 is repeated based on the counted up X counter value (step N17 →
N8).

Then, the aforementioned steps N8, N9 → N1
While the processing of 2, N13 → N16, N17 is repeated, the X counter value indicating the X coordinate value within the n-ary graph display range is sequentially counted up, and the current X counter value calculated in step N8 is incremented. If it is determined that there is a carry based on the n-ary number between the n-value in the n-base and the previously calculated n-value, the graph display color in the same digit range as the digit after the carry is determined. The color is changed from normal red to blue specified in advance (step N9 → N10, N
11).

Further, the aforementioned steps N8, N9 → N1
While the processing of 2, N13 → N16, N17 is repeated, the X counter value indicating the X coordinate value within the n-ary graph display range is sequentially counted up, and the current X counter value calculated in step N12 is incremented. If it is determined that there is a carry based on the m-ary number between the m-value in the m-base and the m value calculated in the previous time, the graph display color in the same digit range as the digit after the carry is determined. The color is changed from normal red to blue specified in advance (step N13 → N1).
4, N15).

Thereafter, the graph display color is not changed until the carry of the n-ary or m-ary occurs again.
Steps N8, N9 → N12, N13 → N
The processing of steps 16 and N17 is repeated to update the X counter value.

If it is determined that the X counter value has exceeded the maximum value Xmax of the n-ary graph display range, the series of n-ary carry color classification processing is terminated (step N17 → end).

As a result, for example, the n-ary graph of red display in the entire range shown in FIG. 31 (A) is, as shown in FIG. It will be changed to display.

Therefore, n in the electronic computing device
According to the n-ary carry color coding function on the hexadecimal graph, the n-ary:
Since the display color of each carry portion of the n-ary value and m-ary value can be changed to a different display color along with the m-ary graph display, the difference in carry between the n-ary number and the m-ary number can be easily checked and learned. become able to.

(N-ary random number generation mode) FIG. 32 is a flowchart showing the n-ary random number generation mode processing in the n-ary arithmetic mode of the electronic computer.

FIG. 33 is a diagram showing an operation display state accompanying the n-ary random number generation mode processing of the electronic computer.

If the mode data of the n-ary random number generation mode is RA
When set in the mode data memory 19a in M19 (step P1), an input screen for inputting a function for generating a random number is displayed as shown in FIG.

Here, when an n-ary function is designated, an arbitrary value (in this case, “5”) is input as the n-ary number and the “execute” key 12o is operated (steps P2 and P2).
3, P4) First, a random number k... 0 <k <1 is generated (step P5), and the random number value k and the specified n
Based on the base number, an n-ary random number value X is generated by the following equation (step P6), and displayed on the liquid crystal display unit 13 (step P7) as shown in FIG. 33B.

Int (k * (n-1)) → X Each time the “execute” key 12o is operated, the processing from step P4 is repeated to generate an n-ary random number X, and FIG. As shown in FIG.
Random numbers X are arranged and displayed (step P8 → P
4-P7).

Therefore, n in the electronic computing device
According to the binary random number generation function, n specified as an n-ary function
Since a random number of a base number can be generated and displayed, it is possible to confirm that an expression value of the base number is 0 to n-1, and to learn the mathematical properties of the base number.

(N-ary Coordinate System Graph Mode) FIG. 34 is a flowchart showing the n-ary coordinate system graph mode processing in the n-ary arithmetic mode of the electronic computer.

FIG. 35 is a view showing an operation display state accompanying the n-ary coordinate system graph mode processing of the electronic computer.

When the mode data of the n-ary coordinate system graph mode is set in the mode data memory 19a in the RAM 19 and the n-ary coordinate system graph mode processing shown in FIG. 34 is started (step Q1), first, FIG. As shown in (A), an n-ary and m-ary input setting screen for the XY coordinate axes is displayed. Here, an arbitrary n-ary number for the X-axis and an arbitrary m-ary number for the Y-axis are, for example, X-axis (quinary). ): Y
An axis (ternary) is determined and input (step Q2).

Then, as shown in FIG. 35 (B), a graph type input screen is displayed, and "Y = X" is input to draw a graph of the above-mentioned n-ary number: m-ary number (step Q).
3) Further, the display range of the n-ary number with respect to the X axis and Y
Enter the display range of the m-ary number for the axis (step Q
4) When the "execute" key 12o is operated to instruct drawing of the n-ary coordinate system graph (step Q5), the minimum value of the X-coordinate system (n-ary number) in the graph display range of the n-ary number: m-ary number Is set as Xmin and the maximum value is set as Xmax (step Q6). First, Xmin is set in the X counter (step Q7).

Then, n set in the X counter
Graph drawing data in the X-axis direction in which the decimal value is converted to a decimal number is calculated (step Q8), and the m-ary value in the m-ary number corresponding to the n-ary value is also calculated and the Y-axis converted to a decimal number. This is set as the graph drawing data of the direction (step Q9).

Then, the graph drawing point converted as a decimal number of the n-ary value: m-ary value is written and displayed in the graph memory 19q (step Q10), and the previous n and m points already displayed exist. In this case, the n and m points of the previous display and the n and m points of the current display are connected by a line segment and displayed (steps Q11 → Q12).

Then, the n-ary value set in the X counter and set as the current drawing point in the X-axis direction is counted up and updated (step Q13), and the n-ary value after the count-up is calculated in the X coordinate system (step Q13). If it is determined that the value is within the range of the maximum value Xmax of the (n-ary number)
Returning to the processing from step 8 (step Q14 → Q8), the n-ary value of the counted n-ary number and the m-ary value of the m-ary number corresponding thereto are calculated, and the n-ary value and m-ary value are converted to decimal numbers. Drawing data calculation processing, display processing of the n and m drawing points,
Then, the combined display processing with the previously displayed n and m drawing points is repeated (steps Q8 to Q14).

As a result, for example, as shown in FIG. 35 (C), a conversion graph of an arbitrarily designated n-ary value to m-ary value becomes n
A decimal value and a m-ary value are drawn and displayed on a graph range in which they are arranged at equal intervals on the XY coordinates, and thereafter, the n-ary n-ary number in the X counter counted up in step Q13 is counted. The value is the X coordinate system (n-base)
Is determined to be out of the range of the maximum value Xmax of the graph, the graph display processing by repeating the steps Q8 to Q14 is ended (step Q14 → end).

Therefore, n in the electronic computing device
According to the coordinate system graph function, any n-ary (X-axis): m
It is possible to display not only the conversion graph of the base (Y axis) but also the change of the graph in which the coordinates of the n-ary value and the m-ary value with the n-base number being the X-axis and the m-base number being the Y-axis are arranged at equal intervals, so It is possible to learn the concept of n-ary from a viewpoint.

(Digit Number Coloring Display Mode: Second Embodiment of N-ary Carry Coloring Mode) FIG. 36 is a flowchart showing the digit number coloring display processing on the n-ary graph display of the electronic computer.

FIG. 37 is a diagram showing an operation display state accompanying the digit number color display processing on the n-ary graph display of the electronic computer.

The mode data of the n-ary graph mode is RAM
In the state set in the mode data memory 19a in step 19 (step R1), an arbitrary n-ary number with respect to the X axis and Y
An arbitrary m-ary number for the axis is determined and input, for example, as an X-axis (seven): Y-axis (ternary) (step R2), and when an “execute” key 12o is operated to draw an n-ary graph. (Step R3), Step A in FIG.
As shown in FIG. 37 (A), through the same processing as in 4-A11, as shown in FIG.
A hexadecimal graph is drawn and displayed (step R4). At this time, in the n-ary graph drawn and displayed, the entire area of the line segment is displayed in the normal color red.

Here, when the "color classification" key 12j is operated (step R5), "1" is set to the step counter (k) (step R6), and the minimum X coordinate value of the n-ary graph display range is set. The value is Xmin, the maximum value is Xm
ax is set (step R7).

Then, the width D of the n-ary value per display dot in the X-axis direction is calculated and held (step R8).

Then, "0" is set to the n counter (step R9), and Xmi is set to the X counter.
n is set (step R10), and steps R11 to R11 are set.
By the processing of R20, a portion where the number of digits changes in the n-ary: m-ary graph is extracted.

Then, the step counter (k) is reset to "0" (step R21), and
By the repetition processing of 22 to R24, the extracted n
Hexadecimal: The graph display color for each change in the number of digits in the m-ary graph is changed to a different display color.

Therefore, n in the electronic computing device
According to the number-of-digits color display function on the hexadecimal graph, n-ary: m
With the display of the hexadecimal graph, the portion where the carry has occurred can be confirmed by colored display, and it is possible to learn the difference in the carry between the n-ary number and the m-ary number.

The method described in each of the above embodiments, that is, the n-ary graph processing shown in the flowchart of FIG. 4, the clock graph processing shown in the flowchart of FIG. 6, the three-dimensional n-ary graph processing shown in the flowchart of FIG. FIG.
N-ary graph solve processing shown in the flowchart of FIG.
2, an n-ary graph optimal range setting process shown in the flowchart of FIG. 2, a decimal n-ary conversion table process shown in the flowchart of FIG. 14, an n-ary graph comparison process shown in a flowchart of FIG. 16, and an n-ary graph addition / subtraction process shown in a flowchart of FIG. 20, an n-ary regression graph process shown in the flowchart of FIG. 20, a provisional fractional fraction conversion graph process shown in the flowchart of FIG. 22, an n-ary graph dynamic process shown in a flowchart of FIG. 24, a multiple pointer process shown in a flowchart of FIG. 28, a plurality of trace value processes shown in the flowchart of FIG. 28, an n-ary carry color classification process shown in the flowchart of FIG. 30, an n-ary random number generation process shown in the flowchart of FIG. 32, an n-ary coordinate system graph process shown in the flowchart of FIG. Each method such as digit number color display processing shown in the flowchart of As a program which can be executed by a computer of an electronic computing device, memory card (ROM card, RAM card), a magnetic disk (floppy disk, hard disk, etc.), optical disks (C
D-ROM, DVD, etc.), and can be stored in an external storage medium 16 such as a semiconductor memory and distributed. Then, the computer reads the program stored in the external storage medium 16 by the storage medium reading unit 17 and controls the operation by the read program, thereby performing the n-ary graph display function described in each of the above embodiments. And can execute the same processing according to the above-described method.

The data of the program for realizing each of the above methods can be transmitted on the network N in the form of a program code, and the communication control unit 18 of the computer terminal connected to the network N makes the above described data available. By taking in program data, it is also possible to realize the processing function of n-ary graph display described above.

[0237]

As described above, according to the n-ary graph display device of the present invention, the n-ary number set by the base setting means is set on the X-axis, and the m-ary number is set on the Y-axis. m
Since the conversion graph of the base number is displayed, the user can learn while confirming the relationship between the n-base number and the m-base number arbitrarily specified by the user on the graph.

Therefore, it is possible to visually grasp the change in the n-ary value and to deepen the understanding of the n-ary number.

[Brief description of the drawings]

FIG. 1 is a block diagram showing a configuration of an electronic circuit of an electronic computing device having an n-ary graph display function according to an embodiment of an n-ary graph display device of the present invention.

FIG. 2 is a view showing an example of the arrangement of various keys provided in a key input unit of the electronic computing device.

FIG. 3 is a diagram showing a configuration of a main data memory in an n-ary operation mode secured in a RAM of the electronic computing device.

FIG. 4 is a flowchart showing an n-ary graph mode process in the n-ary arithmetic mode of the electronic computing device.

FIG. 5 is a diagram showing a state in which a conversion graph of an n-ary number: m-ary number is generated and displayed in accordance with an n-ary number mode process of the electronic computer.

FIG. 6 is a flowchart showing a clock graph mode process in the n-ary operation mode of the electronic computing device.

FIG. 7 is a diagram showing a generation and display state of a fraction: hour conversion graph associated with the clock graph mode processing of the electronic computing device.

FIG. 8 is a flowchart showing a three-dimensional n-ary graph mode process in the n-ary arithmetic mode of the electronic computing device.

FIG. 9 is a diagram showing a state in which a conversion graph of seconds: minutes: hours is generated and displayed in the three-dimensional n-ary graph mode processing of the electronic computing device.

FIG. 10 shows n in the n-ary operation mode of the electronic computer.
9 is a flowchart showing a hexadecimal graph solve mode process.

FIG. 11 is a view showing a designated display state of a converted numerical value corresponding to a designated numerical value on an n-ary graph accompanying the n-ary graph solve mode processing of the electronic computer.

FIG. 12 shows n in the n-ary operation mode of the electronic computer.
9 is a flowchart showing a hexadecimal graph optimum range setting process.

FIG. 13 is a view showing an operation display state associated with an n-ary graph optimal range setting process of the electronic computing device.

FIG. 14 is a diagram showing a 1 in the n-ary operation mode of the electronic computer.
9 is a flowchart illustrating a 0-base n-ary conversion table process.

FIG. 15 is a view showing an operation display state accompanying the decimal-n-base conversion table processing of the electronic computing device.

FIG. 16 shows n in the n-ary operation mode of the electronic computer.
9 is a flowchart illustrating a hexadecimal graph comparison process.

FIG. 17 is a view showing an operation display state accompanying the n-ary graph comparison processing of the electronic computing device.

FIG. 18 is a diagram showing n in the n-ary operation mode of the electronic computer.
9 is a flowchart illustrating a hexadecimal graph subtraction process.

FIG. 19 is a diagram showing an operation display state accompanying the n-ary graph subtraction processing of the electronic computing device.

FIG. 20 is a flowchart showing an n-ary regression graph process of the electronic computing device.

FIG. 21 is a view showing an operation display state accompanying the n-ary regression graph processing of the electronic computing device.

FIG. 22 is a flowchart showing a provisional fractional zone fraction conversion graph process of the electronic computing device.

FIG. 23 is a diagram showing a fractional value display state by an n-ary graph accompanying the provisional fractional zone fraction conversion graph processing of the electronic computing device.

FIG. 24 is a flowchart showing an n-ary graph dynamic process of the electronic computer.

FIG. 25 is a view showing an operation display state accompanying the n-ary graph dynamic processing of the electronic computing device.

FIG. 26 is a flowchart showing a plurality of pointers process on the n-ary graph display of the electronic computing device.

FIG. 27 is a diagram showing an operation display state associated with a plurality of pointer processes on the n-ary graph display of the electronic computing device.

FIG. 28 is a flowchart showing a plurality of trace value processes on the n-ary graph display of the electronic computer.

FIG. 29 is a view showing an operation display state accompanying a plurality of trace value processes on the n-ary graph display of the electronic computing device.

FIG. 30 is a diagram showing n on an n-ary graph display of the electronic computer.
9 is a flowchart showing a carry-up color classification process.

FIG. 31 shows n on the n-ary graph display of the electronic computer.
The figure which shows the operation display state accompanying a carry-up color classification process.

FIG. 32 shows n in the n-ary operation mode of the electronic computer.
9 is a flowchart showing a hexadecimal random number generation mode process.

FIG. 33 is a view showing an operation display state accompanying the n-ary random number generation mode processing of the electronic computing device.

FIG. 34 shows n in the n-ary operation mode of the electronic computer.
9 is a flowchart showing a process in a coordinate system graph mode.

FIG. 35 is a diagram showing an operation display state accompanying the n-ary coordinate system graph mode processing of the electronic computing device.

FIG. 36 is a flowchart showing a digit number color display process on the n-ary graph display of the electronic computing device.

FIG. 37 is a diagram showing an operation display state associated with a digit number color display process on the n-ary graph display of the electronic computing device.

[Explanation of symbols]

 11 Control Unit (CPU) 12 Key Input Unit 12a Numeric / Symbol Key 12b Function Key 12c Mode Key 12d Trace Key 12e Trace Key 12f Analysis Key 12g Solve Key 12h ... "Range" key 12i ... "PD" key 12j ... "Color code" key 12k ... "Regression" key 12l ... "Dyna" key 12m ... "Enter" key 12n ... "Re" key 12o ... "Execute" key 12p ... "End" key 13 ... Liquid crystal display unit 14 ... Tablet 15 ... ROM 16 ... External storage medium 17 ... Storage medium reading unit 18 ... Communication control unit 19 ... RAM 19a ... Mode data memory 19b ... X range memory 19c ... Y range Memory 19d: X-axis-n-ary value memory 19e ... Y-axis-m-ary value memory 19f: Z-axis-l-ary value Memory 19g ... n-value memory 19h ... m-value memory 19i ... l-value memory 19j ... 3-dimensional table 19k ... table counter 19l ... carry count (C) memory 19m ... decimal / n-decimal conversion table 19n ... decimal range memory 19o ... Step counter (K) 19p ... N (dynamic) range memory 19q ... Graph memory 20 ... Position detection circuit 21 ... Display drive circuit N ... Communication network

Claims (24)

[Claims] A base number setting means for setting an n-ary number and a m-ary number, and an n-ary number set by the base number setting means X
An n-ary graph display device, comprising: a graph display means for displaying a conversion graph of an n-ary number to an m-ary number with an axis and a m-ary number as a Y-axis. 2. A base number setting means for setting an n-base number, a m-base number, and a l-base number, and an n-base number set by the base number setting means X
Axis, n-number with m-ary number on Y-axis, n-number with l-ary number on Z-axis
A graph display means for displaying a conversion graph of a base number to a m base number to a base l number. 3. The system according to claim 1, wherein each base number set by said base setting means is set in combination with one of seconds, minutes, hours, and days, which is a unit of counting time. The n-ary graph display device according to claim 2. 4. A pointer display means for displaying a pointer at an arbitrary position on the graph displayed by the graph display means, and each of the axes corresponding to the position of the pointer on the graph displayed by the pointer display means. 4. The n-ary graph display device according to claim 1, further comprising a numerical value display unit for displaying a numerical value. 5. A time measuring means for measuring time, and a time position displaying means for displaying a position corresponding to the time measured by the time measuring means on a graph displayed by the graph displaying means. The n-ary graph display device according to claim 3, wherein: 6. A carry designation means for designating the number of carry in at least one of an n-ary number and a m-ary number set by the base setting means, and a carry number designated by the carry designation means. 2. The apparatus according to claim 1, further comprising: a range setting unit that sets a graph display range including an X axis and a Y axis in which the graph display unit displays an n-ary to m-ary conversion graph. The n-ary graph display device according to the above. 7. A base number setting means for setting an n-ary number and a m-ary number, an arithmetic means for calculating a m-ary number corresponding to each of a plurality of n-ary numbers set by the base number setting means, A table generating means for tabulating and displaying m-ary numbers corresponding to each of the plurality of n-ary numbers obtained by (1). 8. A base number setting means for setting an n-base number and a m-base number, and an n-base value set by the base setting means is X
An axis, a graph display means for displaying a conversion graph of an n-ary number to an m-ary number with the m-ary number as a Y-axis; an m-ary number change means for changing the m-ary number set by the base number setting means to a different base number; m-ary change graph display means for displaying an n-ary to m-ary conversion graph according to the m-ary number after change by the m-ary change means together with the conversion graph before change displayed by the graph display means. An n-ary graph display device. 9. A radix setting means for setting an n-ary number and first and second m-ary numbers, and an n-ary number set by the radix setting means is X
A graph display means for displaying a conversion graph of an axis, an n-ary number with the first and second m-ary numbers as the Y-axis, a first m-ary number and a second m-ary number, and the graph display means First graph position designating means for designating an arbitrary position on a graph of a first m-ary number, and first m designated by the first graph position designating means
Operation value input means for inputting an addition / subtraction value for an n-ary number corresponding to a position on a graph of a base number, and said n-ary number corresponding to the addition / subtraction value according to the addition / subtraction value input by the operation value input means An n-ary graph display device, comprising: a second m-ary number on a graph and a calculation result display means for displaying the value of the m-ary number. 10. A graph display means for displaying a plurality of arbitrary data as a graph, and the X axis of a graph display range of the graph display means is set to 1
N-ary update graph creating means for creating a decimal-n-base number graph data corresponding to each n value obtained by sequentially updating the n value of the n base number with the 0 base number and the Y axis being an n base number; Each time the graph data of the decimal number to the n-ary number corresponding to the n value which is sequentially updated by the update graph generating means is generated, the graph data of the decimal number to the n-ary number and the data graphed by the graphing display means And a residual calculating means for calculating a residual of the first and second residuals.
A regression graph display means for displaying graph data of 0-base number to n-ary number together with the graph data displayed by the graphing display means; 1 having the smallest residual calculated by the residual calculator;
An n-ary graph display device comprising: a regression n-ary display means for displaying an n-ary number of graph data of a 0-base number to an n-ary number. 11. A fraction input means for inputting an arbitrary fraction, and a conversion graph of a decimal number to a m-ary number with a decimal number on the X axis and a denominator number on the Y axis as the m base number input by the fraction input means. Graph display means, graph position designation means for designating an arbitrary position on the graph displayed by the graph display means, and a decimal value corresponding to the position on the graph designated by the graph position designation means. An n-ary graph display device, comprising: fraction display means for displaying as an improper fraction as a number of molecules and displaying a value of an m-ary number as an integer and a fraction as a number of molecules. 12. The X-axis is a decimal number, the Y-axis is an n-ary number,
N-ary range input means for inputting the n-ary change range; decimal value specifying means for specifying an arbitrary decimal value; and n-ary change range input by the n-ary range input means. graph switching display means for sequentially changing an n-ary number and continuously switching and displaying a conversion graph of a decimal number to an n-ary number corresponding to each n-ary number; and the n-ary number is sequentially changed by the graph switching display means. Each time the conversion graph of the decimal number to the n-ary number corresponding to each n-ary number is switched and displayed, the value of each n-ary number corresponding to an arbitrary decimal number designated by the decimal value designation means is displayed. An n-ary graph display device comprising: n-ary value switching display means. 13. The pointer display means displays pointers at arbitrary plural positions on a graph displayed by the graph display means, and the numerical value display means displays a pointer on a graph displayed by the pointer display means. 5. The n-ary graph display device according to claim 4, wherein a numerical value of each axis corresponding to each of the positions of the plurality of pointers is displayed. 14. The X-axis is a decimal number, the Y-axis is a m-ary number,
A graph display means for displaying the conversion graph of decimal numbers to m-ary numbers, a graph position specification means for specifying an arbitrary position on the graph displayed by the graph display means, and a graph specified by the graph position specification means A designated value display means for displaying a decimal value and an m-ary value corresponding to the upper position; and m which is repeatedly reset by carry, in parallel with the decimal value displayed by the designated value display means. An n-ary graph display device, comprising: m-ary parallel display means for displaying a value of a base number. 15. A graph display means for displaying an x-axis as an n-ary number and a y-axis as an m-ary number and displaying a conversion graph of the n-ary number to the m-ary number, and converting the n-ary number to the m-ary number displayed by the graph display means. An n-ary graph display device, comprising: display color changing means for changing a display color of a graph to a different color in accordance with a carry of an m-ary number. 16. An n-ary specifying means for specifying an arbitrary n-ary number, an n-ary random number generating means for repeatedly generating a random number having a value corresponding to the n-ary number specified by the n-ary specifying means, An n-ary graph display device, comprising: n-ary random number display means for arranging and displaying a plurality of n-ary random number values generated by the generation means. 17. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, the computer comprising: an algebraic number setting means for setting an n-ary number and an m-ary number; X is the n-ary number set by
A storage medium storing a computer-readable n-ary graph display processing program functioning as a graph display means for displaying a conversion graph of an n-ary number to an m-ary number with an axis and a m-ary number as a Y-axis. 18. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, said computer comprising: a base number setting means for setting an n-ary number, an m-ary number, and a l-ary number; X is the value of the n-ary number set by the base number setting means.
Axis, n-number with m-ary number on Y-axis, n-number with l-ary number on Z-axis
A storage medium storing a computer-readable n-ary graph display processing program functioning as graph display means for displaying a conversion graph of a base number to a base number to a base number. 19. The computer further comprising: a pointer display unit for displaying a pointer at an arbitrary position on the graph displayed by the graph display unit; a pointer corresponding to a position of the pointer on the graph displayed by the pointer display unit. 20. The computer-readable n according to claim 18 or 19, wherein the computer-readable n functions as numerical value display means for displaying a numerical value of each axis to perform.
A storage medium storing a hexadecimal graph display processing program. 20. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, said computer comprising: a base number setting means for setting an n-ary number and an m-ary number; X is the n-ary number set by
Graph display means for displaying a conversion graph of an n-base number to an m-base number with an axis and a m-base number as a Y-axis; a m-base change means for changing the m-base set by the base setting means to a different base; M-ary change graph display means for displaying an n-ary to m-ary conversion graph corresponding to the m-ary number after change by the change means together with the conversion graph before change displayed by the graph display means. A storage medium storing a computer-readable n-ary graph display processing program. 21. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, wherein the computer sets an n-ary number and first and second m-ary numbers Means, the value of the n-ary number set by the base setting means is X
Graph display means for displaying a conversion graph of an axis, an n-adic number and a first m-adic number and a second m-adic number with the first and second m-ary numbers as the Y-axis; First graph position designation means for designating an arbitrary position on a graph of 1 m-ary, first m designated by the first graph position designation means
Operation value input means for inputting an addition / subtraction value for an n-ary number corresponding to a position on a graph of a base number, the said number corresponding to the n-ary number after addition / subtraction according to the addition / subtraction value input by the operation value input means A storage medium storing a computer-readable n-ary graph display processing program functioning as a calculation result display means for displaying a position on a graph of a 2 m-ary number and a numerical value of the m-ary number. 22. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, the computer comprising: a graphing display means for graphing and displaying arbitrary plural data; The X axis of the graph display range by the graph display means is set to 1
An n-ary update graph creating means for creating a decimal-n-base number graph data corresponding to each n value obtained by sequentially updating the n value of the n-ary number with the 0-base number and the y-axis being an n-ary number; Each time graph data of the decimal number to the n-ary number corresponding to the n value sequentially updated by the graph generating means is generated, the graph data of the decimal number to the n-ary number and the data graphed by the graphing display means are displayed. Residual calculating means for calculating the residual of the residual, the residual calculated by the residual calculating means being the least 1
Regression graph display means for displaying graph data of 0-base number to n-base number together with the graph data displayed by the graphing display means; 1 having the smallest residual calculated by the residual calculation means
A storage medium storing a computer-readable n-ary graph display processing program functioning as regression n-ary number display means for displaying an n-ary number of graph data of a 0-base number to an n-ary number. 23. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, the computer comprising: a fraction input means for inputting an arbitrary fraction; Graph display means for displaying a conversion graph of a decimal number to an m-ary number with the denominator input to the Y-axis by the fraction input means being an m-ary number, and specifying an arbitrary position on the graph displayed by the graph display means A graph position specifying means, which displays a decimal value corresponding to a position on the graph specified by the graph position specifying means as an improper fraction with a numerator, and a mixed fraction with an m-decimal value as an integer and a numerator. A storage medium storing a computer-readable n-ary graph display processing program functioning as a fraction display means for displaying as. 24. A storage medium storing an n-ary graph display processing program for controlling a computer of an electronic computing device, comprising: a computer having an X-axis as a decimal number, a Y-axis as an n-ary number, N-ary range input means for inputting a range of change of decimal number; decimal value specifying means for specifying an arbitrary decimal number; sequentially changing the n-ary number within the change range of n-ary number input by the n-ary range input means A graph switching display means for continuously switching and displaying a conversion graph of a decimal number to an n-ary number corresponding to each n-ary number, and corresponding to each n-ary number whose n-ary number is sequentially changed by the graph switching display means Each time the conversion graph of decimal numbers to n-ary numbers is switched and displayed, the value of each n-ary number corresponding to an arbitrary decimal value specified by the decimal value specifying means is displayed. n-ary numerical switching display unit, readable on a computer which is adapted to function as a n-ary storage medium storing a graph display processing program.