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Given the the two Boolean equations: X = (AB) + C       and       X = A (B + C)      a.are Equivalent b.Give the same value of X only when A = 0 c.Give the same value of X only when C = 1 d.They are not Equivalent

Given the the two Boolean equations: X = (AB) + C       and       X = A (B + C)      a.are Equivalent b.Give the same value of X only when A = 0 c.Give the same value of X only when C = 1 d.They are not Equivalent

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
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Given the the two Boolean equations:

X = (AB) + C       and       X = A (B + C)     

a.are Equivalent
b.Give the same value of X only when A = 0
c.Give the same value of X only when C = 1
d.They are not Equivalent
Expert Solution
Step 1

we will analyze each option step by step

a)

expanding second term X=AB+AC

 so they are not equivalent. 

this option is wrong

 

b)

when A=0

first term is equal to C and second term is always zero

so this option is also wrong.

 

steps

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