GATE | GATE-CS-2014-(Set-1) | Question 65
Consider the following Boolean expression for F:
F(P, Q, R, S) = PQ + P'QR + P'QR'S
The minimal sum-of-products form of F is
(A) PQ + QR + QS
(B) P + Q + R + S
(C) P’ + Q’ + R’ + S’
(D) P’R + P’R’S + P
F(P, Q, R, S) = PQ + P'QR + P'QR'S = Q(P + P'R + P'R'S) = Q(P + R + R'S) = Q(P + R + S) = PQ + QR + QS
Note that A + AB = A and A + A’B = A + B.
So, option (A) is correct.
Quiz of this Question
Attention reader! Don’t stop learning now. Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.
Learn all GATE CS concepts with Free Live Classes on our youtube channel.