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Abidaek

This document describes a 4-bit binary comparator that compares two 4-bit input numbers A and B. The comparator compares each bit pair of A and B and determines if A is greater than, less than, or equal to B. It uses AND and OR logic gates to perform the comparison.
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0% found this document useful (0 votes)
30 views3 pages

Abidaek

This document describes a 4-bit binary comparator that compares two 4-bit input numbers A and B. The comparator compares each bit pair of A and B and determines if A is greater than, less than, or equal to B. It uses AND and OR logic gates to perform the comparison.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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People's Democratic Republic of Algeria

Ministry of Higher Education

National Polytechnic school of algiers

DIGITAL SYSTEMS
Home Work n°= 01
Comparison of two 4-bit binary numbers

This work was supervised by :


Mr. STIHI Omar

This work was done by :


ABID Abdelkader

1st group automatic engineering


October 10th 2023
Logic comparator of two 4-bit numbers:
A comparator is a fundamental digital circuit that compares two binary
numbers and determines their relative magnitudes (greater than, less than, or
equal). For this description, we'll design a logical model of a 4-bit binary
comparator that compares two 4-bit inputs, A and B.
Let's assume that A and B are 4-bit binary numbers represented as A 3A2A1A0
and B3B2B1B0 respectively, where Ai and Bi are binary digits (0 or 1) for each bit.
Operational mode :
1/Inputs: This comparator takes two 4-bit numbers as inputs , they are named as A and B
and divided to individual bits : A3,A2,A1,A0,B3,B2,B1,B0.
2/comparion: The 4-bit comparator compares each pair (Ai,Bi) [i=0,1,2,3] and
checks whether Ai is equal to Bi , greater than Bi or less Bi .
 The output x>y is true if x is greater than x .
 The output x<y is true if x is less than x .
 The output x=y is true if x is equal to x .
The main logic gates that are used are AND and OR.

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