SOP to POS and minimization.

Thread Starter

beantech

Joined Mar 3, 2015
2
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.
 

Thread Starter

beantech

Joined Mar 3, 2015
2

WBahn

Joined Mar 31, 2012
29,979
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?
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?
 
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