Consider the Boolean expression A(x, y, z) = x(y′z)′. Which of the following is the complete sum-of-products form of the given Boolean expression?
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Correct answer: D. xyz + xyz′ + xy′z′
Explanation
By De Morgan, (y′z)′ = y + z′. So A = x(y + z′) = xy + xz′. Expanding to minterms: xy = xyz + xyz′ and xz′ = xyz′ + xy′z′. Removing the duplicate gives xyz + xyz′ + xy′z′.More Computer System Architecture questions
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