Given \(f(w, x, y, z) = \Sigma_m(0,1, 2, 3, 7, 8, 10) + \Sigma_d(5, 6, 11,…

GATE · 2017 · CS · Set 2 · Computer Science & IT

Given \(f(w, x, y, z) = \Sigma_m(0,1, 2, 3, 7, 8, 10) + \Sigma_d(5, 6, 11, 15)\); where \(d\) represents the 'don't-care' condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of \(f(w, x, y, z)\)?

A.
\(f=(\bar{w}+\bar{z}) (\bar{x}+z)\)
B.
\(f=(\bar{w}+z) (x+z)\)
C.
\(f=(w+z) (\bar{x}+z)\)
D.
\(f=(w+\bar{z}) (\bar{x}+z)\)

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Correct answer: A

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