Need help simplifying a boolean expression

Discussion in 'Homework Help' started by torx11, Oct 6, 2011.

  1. torx11

    Thread Starter New Member

    Oct 6, 2011
    13
    0
    Simplify the following xyz + x'(w+z') + yz(w+z') This is what I did: xyz + x'(w + z') + yz(w + z') xyz + x'w + x'z' + yz(w + z') xyz + x'w + x'z' + yzw + yzz' xyz + x'w + x'z' + yzw + 0 I got the answer xyz + x'w + x'z' + yzw However in the book it says the answer is xyz + x'w + x'z'. How could that be? I don't see any way of getting rid of yzw. Please help me with this.
     
  2. Georacer

    Moderator

    Nov 25, 2009
    5,142
    1,266
    First and foremost, always write equation solutions vertically and don't forget the equal sign, otherwise what you write is unreadable:

    xyz + x'(w + z') + yz(w + z')
    =xyz + x'w + x'z' + yz(w + z')
    =xyz + x'w + x'z' + yzw + yzz'
    =xyz + x'w + x'z' + yzw + 0
    The next step should be:
    =xyz + x'w + x'z' + yzw(x+x')

    Can you finish it?
     
    torx11 likes this.
  3. torx11

    Thread Starter New Member

    Oct 6, 2011
    13
    0
    Sorry about the formatting of my first post. I just realized I had java script blocker on. So even though my work was in a vertical format somehow it became all crunch together. It works now thanks for the help!
     
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