JPH04104348U - Significant figure calculator - Google Patents

Abstract

(57) [Summary] [Purpose] To make it possible to easily and accurately extract the significant figure part of a calculated value including rounding errors obtained by processing the significant figure part of an operand value including errors such as experimental values. . [Structure] A calculation unit 6 performs calculation processing on an operand value inputted from a key input unit 2 based on an operator, and the processed calculation value and the operator are stored in a memory unit 10. The comparison/judgment unit 7 compares a plurality of operand values to determine the significant figure part of the calculated value, and the numerical rounding unit 8 converts the numerical value processed by the calculation unit 6 into the significant figure part determined by the comparison/judgment unit 7. Roll into portions. The significant figure part of the rounded calculation value is displayed on the display section 3.

Description

[Detailed explanation of the idea]

0001

[Industrial application field]

The present invention is a method for calculating significant figures with errors such as experimental values. Concerning calculators.

0002

[Conventional technology]

Numerical values such as experimental values consist of a significant figure part and an error part. For this reason, numerical values such as experimental values are When performing arithmetic processing as an operand value, first extract the significant figure part and then perform the arithmetic processing. It is necessary to do it. This extraction of significant figures is usually done by rounding, rounding up, or truncating. This will be done by discarding the waste. However, the number with the least significant digit is rounded off. Since rounding errors such as quintuple are included, the calculated value also includes this rounding error. cormorant. For this reason, extract the significant figures by rounding off the calculated value again. I need to do it now.

0003 Due to the above-mentioned necessity, conventionally, the calculation operator or the user of the calculated value After understanding the calculation details, determine the error part of this calculated value from the final calculated value, and then The error part was removed and only the significant figures were extracted.

0004

[Problem that the idea aims to solve]

Therefore, in the past, when calculating significant figures, the operator etc. had to re-evaluate the calculated value. Reviewing effective figures and rounding is a tedious and time-consuming process that is not efficient. The problem was that it was difficult to use and mistakes were easily made.

[0005] The present invention was developed in view of the above-mentioned circumstances, and is designed to deal with the effects of experimental values, etc. that include errors. It is easy and accurate to calculate the calculated value including rounding error by processing the significant figure part of the calculated value. The aim is to provide a significant figure calculator that can accurately extract the significant figure part. target

[0006]

[Means to solve the problem]

In order to solve the above problem, the present invention aims to calculate the significant digits of multiple operand values with errors. Operand value input means for inputting the part and operator input for inputting the operator of this operand value and the operand value input from the operand value input means to the operator input means. a calculation means that performs calculation processing using the desired calculation contents input from the computer; A storage means for storing the processed arithmetic values and operators, and a storage means for comparing the plurality of operand values. significant figure comparison and determination means for comparing and determining the significant figure part of the calculated value; and the calculating means. The significant figure part judged by the above-mentioned significant figure comparison judgment means of the numerical value processed by A numerical rounding means that rounds to , and the significant digits of the calculated value rounded by this numerical rounding means. and display means for displaying the part.

[0007]

【Example】

Hereinafter, embodiments of the present invention will be described based on the drawings. FIG. 1 is a perspective view showing the configuration of a significant figure calculator to which the present invention is applied. This existence On the top surface of the effective figure calculator 1, there are key inputs that are an operand value input section and an operator input section. A section 2 and a display section 3 are arranged.

[0008] FIG. 2 is a diagram showing the configuration of the electronic circuit of the significant figure calculator 1. As shown in FIG. Significant figure luck The calculator 1 is equipped with a control section 4 . This control section 4 is entered from the key input section 2. The operation of each part is controlled for the input operand value and operator. Ma In addition, the display section 3 is connected to the control section 4 via a display control section 5, and a calculation unit 6 that performs numerical calculations according to a desired operator input from the key input unit 2; , the significant figure part of the calculated value processed by this calculation unit 6 is inputted using the key input first. A comparison/judgment section 7 compares and judges the calculated value, and the arithmetic processing value is sent to the comparison/judgment section 7. A numerical value rounding processing unit 8 is connected to round off the significant digits determined by comparison. Furthermore, The control section 4 includes an input buffer section 9 for temporarily storing key input values, and a memory section. 10 (details will be described later), and an address section 11 that sends an address signal to this memory section 10. is connected.

[0009] The memory section 10 is an arithmetic device that stores the arithmetic values processed by the arithmetic section 6. data memory 12 and the number of digits of the operand value key-input from the key input section 2. The data memory 13 for the number of significant digits to be stored is the same as the data memory 13 for the number of significant digits. The data file for the last digit of significant digits stores the last digit of the operand value entered using the key. A harpoon 14 is provided. The memory unit 10 also stores operators input from the key input unit 2. Depending on the extent to which the rounding error of the operand affects the calculation result, In order to select the rounding method, there is a flag area that remembers the type of rounding error influence range. A15 is also provided.

0010 3 to 6 are flowcharts showing the operation of this significant figure calculator 1. Hereinafter, the operations will be explained according to the flow of these flowcharts. First, in Figure 1 Of the key input section 2 shown, press the AC key (power key) to clear all ), out of the memory unit 10 described in FIG. 2, the calculation data memory 12 and the In the digit number data memory 13 of the calculation value and the last digit data memory 14 of the operand value. All stored numerical values are erased and the flag in the flag area 15 is set to 0. (S1-S2) Next, the first operand value input from the key input section 2 is transferred to the input buffer section 9. and waits for the first operator to be input subsequently. The operation content of the first operator is multiplication and division. In the case of a key (“×”, “÷” key), the flag is set to “1”, and an addition/subtraction key (“+”, "-" key), leave the flag "0" and input the input buffer section 9. Transfer the operand value taken in to the calculation unit 6 and calculate the digit value and the last place value. do. The calculated values are stored in the digit number data memory 13 and the last digit data memory. 14, the first operand value itself is also stored in the calculation data memory 1 as calculation data. Move on to 2. (S3-S9) The second operator keyed in after the second operand value is ”, “-”, “×”, “÷” keys) are the same as above, and in the case of multiplication and division keys, If the flag is ``1'', and if it is an addition/subtraction key, the flag is set to ``0'' and the calculation data file is The calculation data stored in the memory 12 and the second operand value are The calculation is processed according to the operator, and the calculation result is stored in the calculation data memory 1 as calculation data. 2 and displayed on the display section 3 via the display control section 5. In addition, calculation data memo When new calculation data is stored in the memory 12, the previously stored calculation data The data will be overwritten. That is, the latest calculation data is always stored in the calculation data memory 12. is stored. (S10-S20) From now on, the operators that are keyed in will be numbered until the equal sign key (“=” key) is selected. The second operator is replaced with the first operator, and the second operand value input waiting state (S10 ) and repeat.

[0011] When the equal sign key is selected in the second and subsequent operators, first the input buffer section 9 is The second operand value stored at the time is transferred to the arithmetic unit 6, and the second operand value is digit number data to the digit number data memory 13, and the last digit data to the above-mentioned last digit data. The data is stored in the memory 14.

0012 Next, this second operand value and the first operand value are keyed in immediately before the equal sign key. The calculation process is performed according to the second operator, and this calculation value is used as calculation data as calculation data. The data is stored in the memory 12. (S21-S26) Then, depending on whether the flag in flag area 15 is "1" or "0", the following two types of Numerical rounding is performed. In other words, if the flag is "1", the number of significant digits is The digit number data stored in the data memory 13 is transferred to the comparison/judgment section 7, and this digit number data is Compare the numerical data and use the minimum value of the number of digits as the judgment value in the calculation data memory 12. The calculated data is rounded off to the digit according to this judgment value in the numerical rounding processing section 8. It will be done. (S27-S31) If the flag is “0”, the last significant figure is stored in the data memory 14. The last digit data of The maximum value of the digits is used as the judgment value, and the calculated value in the calculation data memory 12 is rounded off. In section 8, rounding is performed to the digit corresponding to the above judgment value. This rounding process is The calculated numerical value is displayed via the display control unit 5 as the calculated value of significant figures, which is the operand value. Display processing is performed in part 3. (S32-S35) To continue further, press the "AC" key to start a new calculation. Return to the state (S1) and press the addition/subtraction key to change the calculation data memory 12. is repeated from the second operand value waiting state (S10) using the operation data of the first operand value. Go back. For multiplication and division keys, set the flag in flag area 15 to "1" and then press the Repeat from the second operand data waiting state. (S36-S39) Figures 7 and 8 illustrate the significant figure operation of the present invention based on the above-mentioned flowchart. 2 is a diagram showing an example of how the device 1 is operated. FIG. Figure 7 shows an example of operation for adding and subtracting only, “1.234+ 321.09-0.098+765.4=1087.6" Let me explain the case.

[0013]After all clearing (turning on) of the AC key (power key), when the first operand value "1.234" is input, the input value "1.234" is displayed. At this time, since the input value is temporarily stored in the input buffer section 9, the memory section 10 is in an initial state. (ex1) Next, when the first operator "+" is input, "+" is displayed together with the previously displayed "1.234". Simultaneously with this display, the first operand value "1.234" in the input buffer section 9 is transferred to the arithmetic section 6, where the number of digits and the last digit are calculated. That is, the number of digits is "4" and the last digit is "-3" (representing 10 ^-3 ). The digit number "4" and the last digit "-3" are stored in the digit number data memory 13 and the last digit memory 14, respectively. Further, the first operand value “1.234” is also stored in the calculation data memory 12. At this time, the flag area 15 remains at "0". (ex2) Next, when the second operand value "321.09" is input, the previous display is erased and the input value "321.09" is newly displayed. In addition, the input value "321.09" at this time is temporarily stored in the input buffer unit 9, as in the case of inputting the first operand value "1.234", so the memory unit 10 remains unchanged. Retained. (ex3) Subsequently, when the second operator "-" is input, "-" is displayed, and the second calculated value "321.09" is generated by the same process as the first operand value described above. The number of digits "5" and the last digit "-2" are stored in the significant digit number data memory 13 and the last digit data memory 14, respectively. Further, "1.234+3 21.09" inputted up to that point is arithmetic processed, and the arithmetic value "322.324" is stored in the arithmetic data memory 12. (ex4) After that, similarly input the third operand value “0.098”, the third operator “+”, the fourth operand value “765.4”, and the fourth operator “=” Accordingly, "4, 5, 2, 4" is stored in the data memory 13 for the number of significant digits, and "-3, -2, -3, -1" is stored in the data memory 14 for the last digit of the significant digits. , "1087.626" are stored in the calculation data memory 12, and the flag in the flag area 15 is "0".

[0014] Furthermore, when the "=" key is pressed, rounding of the calculated value is started. child In the case of , multiplication and division is not selected as the operator, so the flag is 0, so the number of significant digits is The maximum value "-1" is selected from the last digit data memory 14, and the calculation data memory "1087.626" in 12 is rounded off to the same place as the selected value "-1" above. is rounded off. That is, "1087.626" becomes "1087.6".

The value “1087.6” obtained as described above is displayed on the display unit 3 . (ex 5 to ex 8) FIG. 8 is an example of an operation including multiplication and division, and a case will be explained in which the operation "(0.1234 + 2.10987) x 0.98 ÷ 0.0032 = 6.8 x 10 ² " is carried out. It is something.

[0016] As in the case of FIG. 7 described above, the first operand value "0.1234", the first operation When you enter the child "+" and the second operand value "2.10987", the number of significant digits "4" is in the data memory 13, and "-4" is in the data memory 14 at the last significant figure. is stored, and the calculation data memory 12 and flag area 15 remain at the initial state of "0". It is maintained. (ex11~ex13) Next, when you input the second operator “×”, the second operand value “2.10987 The number of digits "6" and the last digit "-5" are respectively significant digits data memory 13 and the last significant figure is stored in the data memory 14, and the calculated value is "2.23327". is stored in the calculation data memory 12. Further, the flag becomes "1". (ex1 4) Thereafter, in the same way, the third operand value "0.98", the fourth operator "÷", and the fourth operand With the input of the calculated value "0.0032" and the fifth operator "=", the number of significant digits is displayed. "4, 6, 2, 2" is stored in the data memory 13, and the last significant digit is stored in the data memory 14. "-4, -5, -2, -4" is stored in the calculation data memory 12, and "683.938" is stored in the calculation data memory 12. 9375" is stored, and the flag in the flag area 15 is "1".

[0017]Furthermore, when the "=" key is pressed, the calculation value rounding process is started. In this case, since the flag is "1", the minimum value "2" is selected from the significant digit number data memory 13, and "683.9389375" in the calculation data memory 12 is the same digit as the selected value "2". Rounded to the nearest whole number. That is, "683.9389375" becomes "6.8×10 ² ".

The value “6.8×10 ² ” obtained above is displayed on the display unit 3 . (ex15~ex18)

[0019]

[Effect of the idea]

As detailed above, according to the present invention, the significant digit parts of multiple operand values with errors are an operand value input means for inputting the operand value, and an operator input means for inputting the operator for this operand value. and the operand value inputted from the operand value input means from the operator input means. A calculation means that performs calculation processing based on the input desired calculation contents, and a calculation means that performs calculation processing using the input desired calculation content. A storage means for storing processed operation values and operators, and comparison of the plurality of operand values mentioned above. and a significant figure comparison/judgment means for determining the significant figure part of the above-mentioned calculated value, and the above-mentioned calculation means. The calculated numerical value is converted into the significant figure part determined by the above-mentioned significant figure comparison judgment means. A numerical rounding means and the significant figure part of the calculated value rounded by this numerical rounding means. The effective number of operand values including errors such as experimental values, etc. Easily and accurately calculate the significant figure part for calculated values that include rounding errors when calculating the character part. becomes possible to take out.

[Brief explanation of drawings]

FIG. 1 is a perspective view showing the external appearance.

FIG. 2 is a block diagram showing a circuit configuration.

FIG. 3 is a flowchart showing the operation.

FIG. 4 is a flowchart showing the operation.

FIG. 5 is a flowchart showing the operation.

FIG. 6 is a flowchart showing the operation.

FIG. 7 is a diagram showing operating states.

FIG. 8 is a diagram showing operating states.

[Explanation of symbols]

1... Significant figure calculator, 2... Key input section, 3... Display section, 4
...Control unit, 5...Display control unit, 6...Calculation unit, 7...Comparison judgment unit, 8...Numeric value rounding processing unit, 9...Input buffer unit, 10...
Memory section, 11...address section, 12...calculation data memory, 13...digit number data memory, 14...last digit data memory, 15...flag area.

Claims (1)

[Scope of utility model registration request] Claim 1: Operand value input means for inputting significant figure parts of a plurality of operand values having errors; operator input means for inputting an operator of the operand values; and from the operand value input means. an arithmetic means for arithmetic processing an input operand value with desired arithmetic contents input from the operator input means; a storage means for storing the arithmetic value and the operator processed by the arithmetic means; Significant figure comparison/judgment means for comparing a plurality of operand values and determining the significant figure part of the calculated value; and rounding the numerical value processed by the calculation means to the significant figure part determined by the significant figure comparison/judgment means. A significant figure calculator comprising a numerical value rounding means and a display means for displaying the significant figure part of the calculated value rounded by the numerical value rounding means.