The logic expression x′yz′ + x′yz + xyz′ + xyz reduces to
2005
The logic expression x′yz′ + x′yz + xyz′ + xyz reduces to
- A.
x′z
- B.
xyz
- C.
y
- D.
yz
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Correct answer: C
Group the terms as (x′yz′ + x′yz) and (xyz′ + xyz). Factor out common variables to get x'y(z' + z) + xy(z' + z). Since z' + z equals 1, this simplifies to x'y + xy. Factor out y to get y(x' + x), and since x' + x equals 1, the final result is y.
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