AV 241 Two Bit Comparator Circuit Paper

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Two-Bit Comparator Circuit AV 241 Nitin M. Bhanu February 10, 2015 Date Performed: Febraury 3, 2015 Aim To realise and verify a two-bit comparator circuit with logic gates. Components required IC7404 , IC7432 , IC7408 and IC7486 Theory A digital comparator or magnitude comparator is a hardware electronic device that takes two numbers as input in binary form and determines whether one number is greater than, less than or equal to the other number. Comparators are used in a central processing units (CPU) and microcontrollers. Examples of digital comparator include the CMOS 4063 and 4585 and the TTL 7485 and 74682-’89. Implementation A = A1 A0 B = B1 B0 Here each subscript represents one of the digits in the numbers. Equality The binary numbers A and B will be equal if both the pairs of significant digits of both numbers are equal, i.e., A1 = B1 and A0 = B0 .Since the numbers are binary, the digits are either 0 or 1 and the boolean function for equality of any two digits Ai and Bi can be expressed as xi =Ai Bi +A’i B’ i xi is 1 only if Ai and Bi are equal. For the equality of A and B, all xi variables (for i=0,1) must be 1. So the equality condition of A and B can be implem ...
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