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A= 1010 B= 1101 Find X3 X2 X1 X0

A= 1010 B= 1101 Find X3 X2 X1 X0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A= 1010 B= 1101 Find X3 X2 X1 X0
Dr. Nahed Bahran 4.8 MAGNITUDE COMPARATOR The comparison of two numbers is an operation that determines whether one number is greater than, less than, or equal to the other number. A magnitude comparator is a combinational circuit that compares two numbers A and B and determines their relative magnitudes. The outcome of the comparison is specified by three binary variables that indicate whether A > B, A = B, or A < B. Example: algorithm for 4 bit magnitude comparator. • Consider two numbers, A and B , with four digits A =`A, Az Aj Ag B = B, B2 B, Bq If A=B, this means A3 = B3, A2 = B2, A1 = B1, and A0 = B0.When the numbers are binary, the digits are either 1 or 0, and the equality of each pair of bits can be expressed logically with an exclusive-NOR funct x= A,B, + AB{ for i = 0, 1, 2 3 Xi = 1 if Ai=Bi (A = B) = xzXzľjXo The binary variable (A = B) is equal to 1 only if all pairs of digits of the two numbers are equal.
Transcribed Image Text:Dr. Nahed Bahran 4.8 MAGNITUDE COMPARATOR The comparison of two numbers is an operation that determines whether one number is greater than, less than, or equal to the other number. A magnitude comparator is a combinational circuit that compares two numbers A and B and determines their relative magnitudes. The outcome of the comparison is specified by three binary variables that indicate whether A > B, A = B, or A < B. Example: algorithm for 4 bit magnitude comparator. • Consider two numbers, A and B , with four digits A =`A, Az Aj Ag B = B, B2 B, Bq If A=B, this means A3 = B3, A2 = B2, A1 = B1, and A0 = B0.When the numbers are binary, the digits are either 1 or 0, and the equality of each pair of bits can be expressed logically with an exclusive-NOR funct x= A,B, + AB{ for i = 0, 1, 2 3 Xi = 1 if Ai=Bi (A = B) = xzXzľjXo The binary variable (A = B) is equal to 1 only if all pairs of digits of the two numbers are equal.
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