Use algebraic manipulation to prove the identity of this Boolean equation

Thread Starter

mcc123pa

Joined Sep 12, 2010
40
Hi everyone:

Thanks so much for your help with my previous questions.

A'B+B'C'+AB+B'C=1

The problem is to prove the identity of that equation. I solved it out, please tell me if I did it correctly. Thanks!

A'B+AB+B'C'+B'C=1 (equation re-arranged)
B(A'+A)+B'(C'+C)= 1
B(1)+B'(1)=1
B+B'=1
1=1

Thanks in advance for your replies!!
 
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