Need help simplifying a boolean expression

Thread Starter

torx11

Joined Oct 6, 2011
13
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.
 

Georacer

Joined Nov 25, 2009
5,182
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?
 

Thread Starter

torx11

Joined Oct 6, 2011
13
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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