TITLE: Product of maxterms
QUESTION [0 upvotes]: Please help me break the ice in understanding how we derive a product of maxterms, say, for:
$xy+x'z $
I could be missing some concept here in this but be patient with me. I have also done SOP and POS.
My domain is x,y, z.
In the first term, $xy, z$ or $z'$ are missing, so I add $zz'$
and in second term $x'z$, I would add $y'y$ thus:
$(xy+zz')+(x'z+yy')$ which I I think due to a theorem, evaluates to:
$(xy+z)(xy+z')+(x'z+y)(x'z+y')$
First, I am not sure if what I have done above is on right track.
Secondly, am not sure what next.

REPLY [0 votes]: We have two Identities

Multiplicative x.x' = 0
Additive x+x' =1

We use these while converting to SOP or POS form. Use the simplest oone to your requirements
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