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NIMCET 2023 Computer PYQ — Consider the following Boolean expression for F F(P,Q,R,S) = PQ +… | Mathem Solvex | Mathem Solvex

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NIMCET 2023 — Computer PYQ

NIMCET | Computer | 2023

Consider the following Boolean expression for F F(P,Q,R,S) = PQ + $\overset{ˉ}{P}$ QR + $\overset{ˉ}{P}$ QR $\overset{ˉ}{S}$ . The minimum sum of products form of F is

A. $P Q + QR + QS$

B. $P + Q + R + S$

C. $\overset{ˉ}{P} + \overset{ˉ}{Q} + \overset{ˉ}{R} + \overset{ˉ}{S}$

D. $\overset{ˉ}{P} R + \overset{ˉ}{P} R \overset{ˉ}{S} + P$

Choose the correct answer:

A.
D
B.
A
C.
C
(Correct Answer)
D.
B

Correct Answer:

Explanation

$ nb s p; nb s p; nb s p; nb s p; nb s p; am p; (b) am p; F (P, Q, R, S) = P Q + P^{'} QR + P^{'} Q R^{'} S am p; = Q (P + P^{'} R + P^{'} R^{'} S) am p; = Q (P + R + R^{'} S) am p; = Q (P + R + S) = P Q + QR + QS $

Explanation

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