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# System for Decimal Readout of Binary Numbers

IP.com Disclosure Number: IPCOM000044274D
Original Publication Date: 1984-Nov-01
Included in the Prior Art Database: 2005-Feb-05
Document File: 1 page(s) / 11K

IBM

## Related People

Johnson, RJ: AUTHOR [+3]

## Abstract

This system provides for generation of a decimal number from a visual display of a binary number and thus provides for easy visual conversion between a binary number and a corresponding decimal number. The system of the present invention can be represented by the following mathematical equation: L R= S (B(P) x G(P) x 10K(P)) P=0 where: R is the resultant decimal number L is the number of light-emitting diodes (LEDs) used P is the position of graphic G, and Pe (0,1,2......

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System for Decimal Readout of Binary Numbers

This system provides for generation of a decimal number from a visual display of a binary number and thus provides for easy visual conversion between a binary number and a corresponding decimal number. The system of the present invention can be represented by the following mathematical equation: L R= S (B(P) x G(P) x 10K(P)) P=0 where: R is the resultant decimal number L is the number of light-emitting diodes (LEDs) used P is the position of graphic G, and Pe (0,1,2...... L) where 0 is the rightmost position L is the leftmost position B is
the boolean number; if "1", the LED at position P is lit K is the number of LEDs which are lit and to the right of position P Using this system with five LEDs the following would represent "532": 0 0 0 0 0 X X X 5 4 3 2 1 As there is a one-to-one correspondence between binary and decimal numbers the total number of decimal numbers T that can be generated from L LEDs is: T = 2L - 1 Although not all possible decimal numbers can be generated using a present system, utilization of the present system results in savings with respect to board space, power supply costs, software costs, circuit driver costs and field repair costs.

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