Is this boolean statement reduced correctly?

Thread Starter

randb

Joined Dec 29, 2012
16
original problem = x'+y'+xyz'

my steps
y'+xyz' reduces to y'+xz'

and x'+xz' reduces to x'+z'

therefore my answer is x'+y'+z' ?

randb
 

WBahn

Joined Mar 31, 2012
33,182
Well, ask if your answer seems equivalent in light of the earlier problem you posted. In order for the answer to depend on the term xyz', the first two terms have to be False, meaning that both x and y have to be True. But if x and y are both True, then the term xyz' is equivalent to z'. So, yes, it makes sense that your answer is correct.

The steps you took to arrive at your answer are correct, as well.
 
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