# 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
5,151
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!