Not understanding simplification of Boolean function

Thread Starter

Fred123123

Joined Nov 12, 2014
1
The equation give in S = X'YZ + XZ + XY'Z + Y'Z + XY and I have to reduce it.
As my professor reduces it it goes to S=X'YZ + XZ + YZ + XY'Z + Y'Z + XY (He consensus terms 1 and 2)
and next he goes down and the equation is S = XZ + YZ +XYZ' +Y'Z + XY.
Where does the X'YZ go to? Is it absorption or something else?
 

WBahn

Joined Mar 31, 2012
25,918
It seems like he is going about it the long way. The solution can be had in just three or four simple steps.

HINT: Don't forget that OR distributes over AND. Thus, AB+C = AC + BC

As for where the X'YZ goes, consider the first and third terms in the prior reduction.
 
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