# SOP to POS and minimization.

Discussion in 'Homework Help' started by beantech, Mar 3, 2015.

1. ### beantech Thread Starter New Member

Mar 3, 2015
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Hi, I have f = x + yz and its minimized already and in SOP form. My question is how do I go about to convert it to POS.

Also if I f(x,y,z) = pi(0,1,2) and minimize it with k-map, I end up with xy + xz but need it in POS, I tried converting to (x' + y')(x' + z') but end up with different truth tables. Thanks.

Mar 31, 2012
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3. ### shteii01 AAC Fanatic!

Feb 19, 2010
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Apply de Morgan's theorem.

4. ### beantech Thread Starter New Member

Mar 3, 2015
2
0
Thanks for the article. So I converted x + yz to x(y+z) but when I make truth tables for both of them they come out completely different. For x + yz, I get 1's when x is 1 or y and z is 1. And for x(y+z), I only get 1's when x is 1 and either y or z is 1. Am I suppose to get different truth tables?

5. ### WBahn Moderator

Mar 31, 2012
18,093
4,920
The reason you get different truth tables is because x+yz is not equivalent to x(y+z). Think about it. In the first case x can be False and it is still possible for the result to be true, while in the second case x MUST be True in order for the result to be True.

So why do you think that they are equivalent? In other words, what was your basis for going from one to the other?