Use algebraic manipulation to prove the identity of this Boolean equation

Discussion in 'Homework Help' started by mcc123pa, Sep 12, 2010.

  1. mcc123pa

    Thread Starter Member

    Sep 12, 2010
    40
    0
    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!!
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    Yep, that's all there is!
     
  3. mcc123pa

    Thread Starter Member

    Sep 12, 2010
    40
    0
    Thanks for checking over it for me!
     
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