SU140268A1 - A device for converting numbers represented in the sixth-sixth number system (degrees, hours, minutes, seconds) into a binary number system - Google Patents

Description

BASIC Auth. St. No. 133681 describes a device for converting decimal numbers into binary ones, containing a generator of shear pulse trains, a W-bit output register (m is the number of necessary binary bits), triggers for implementing fixed delays, a four-bit register for fixing binary-dec. the same code and two successive adders. The output of the four-bit register is connected to one of the inputs of the first adder, the Second input of which is connected via delay triggers to the output of the second adder, and the outputs of the last are connected to the first and third bit t-bit output register. The last bit of the output register is connected to the output of the first adder. The generator output of the pulse bursts is connected to the shift inputs of the triggers and registers.

The basis of the device is the following method.

It is known that any decimal n-bit number can be represented as

N RP + + ... + P2 10 + PI - 10 °

where l is the number of decimal -bits (1,2...)

pn is the value of the highest digit of the number, or else

N {... (p. 10 + p „,) 10 + p„, 10 –b ... + P2} 10 + p,

We denote the value in homogeneous brackets by Vi, and the result of multiplying it by 10 through 10 Y When the device operates, there is a unique number 140268-2 that converts the number from the decimal number system to the binary equivalent in accordance with the recurrence relations

Ui - 1 / ,, + Рп- ,,; Vi +) 2S where / o О The final result of the conversion

,,

where the value of U ,, corresponds to the value of the number to be converted. Multiplying a value by a power of two means shifting it by the corresponding number of bits.

The proposed device for converting numbers, represented by x in the decimal-sixty-decimal number system (degrees, hours, minutes, seconds) to the binary number system, differs from those known in that in order to obtain a conversion with a minimum amount of additional equipment when the main number system changes A hex key associated with the control trigger and additional gates are entered into the device. Consideration of the number represented in the decimal-sixteenth system (for example, 268 ° 25 36) shows that it can be converted to a binary number system using the described method with the difference that during the transition to the next (younger) hexadecimal number the accumulated result Hi should be multiplied not by 10, as before, but by 6. This corresponds to the representation of the number L, for example,

/ „10 + Л ,,) 10 + +. + / g 10 + P1

l / ..

where rtg; p "; - respectively hundreds, tens and units of degrees; - ten minutes and so on.

With this Vi Vi. 6 is represented as Vi (Ui + Ui .2}). 2, which corresponds to the delay value Ut B of the second term implementation in parentheses by one cycle instead of the usual two.

To implement this condition, the following are entered into the converter circuit: a key of degrees (hours), minutes, etc. (a six-digit code key), which is pressed by the operator after entering the last digit in degrees (hours), minutes; control trigger triggered by the specified key; a pattern for extracting the end of the packet, returning the trigger to its initial state after issuing a packet of 20 shift pulses; additional valves. The valves are controlled by a trigger and, consequently, in the cycles immediately following pressing the degree key, the number is delayed before it arrives at the input of the adder by one clock cycle instead of the usual two (this cycle is multiplied by 6 instead of multiplied by 10).

It should be noted that the triggers (and Graz) in the described device are included at the input of the adder (22), whereas in the device according to the author. St. No. 133681 they were included at its output. Otherwise, the operation of the described device is similar to the operation of the main device described in the author. St. No. 133681.

Introduction to the scheme of the main device of these changes allows, without a significant increase in equipment, to carry out, along with the conversion of numbers from the decimal number system to the binary, non-programmatic conversion of numbers expressed in the hexadecimal to the binary number system.

The described device can be used both for converting information upon input and for intermediate conversions in a digital computer.

Subject invention

A device for converting numbers represented in the six-decimal number system (degrees, hours, minutes, seconds) into a binary number system according to the author. St. No. 133681, characterized in that, in order to obtain a conversion with a minimum amount of additional hardware when the base of the number system changes, the device has a hexadecimal key associated with a control trigger, and two additional gates.

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