GATE | GATE-CS-2007 | Question 85

Let f(w, x, y, z) = ∑(0, 4, 5, 7, 8, 9, 13, 15). Which of the following expressions are NOT equivalent to f?
(A) x’y’z’ + w’xy’ + wy’z + xz
(B) w’y’z’ + wx’y’ + xz
(C) w’y’z’ + wx’y’ + xyz + xy’z
(D) x’y’z’ + wx’y’ + w’y


Answer: (D)

Explanation: 20_0

Solving this k-map we get x’y’z’ + w’xy’ + wy’z + xz which is (A) part

20_1

Solving this k-map we get w’y’z’ + wx’y’ + xz which is (B) part.

20_2

Solving this k-map we get w’y’z’ + wx’y’ + xyz + xy’z which is ( C) part .

But we can’t get (D) part from any combination so Ans is (D) part.

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