Consider a 4-to-1 multiplexer with two select lines S1 and S0, given below

The minimal sum-of-products form of the Boolean expression for the output F of the multiplexer is
(A) P\’Q + QR\’ + PQ\’R
(B) P\’Q + P\’QR\’ + PQR\’ + PQ\’R
(C) P\’QR + P\’QR\’ + QR\’ + PQ\’R
(D) PQR\’


Answer: (A)

Explanation: For 4 to 1 mux

=p’q’(0)+p’q(1)+pq’r+pqr’

=p’q+pq’r+pqr’

=q(p’+pr’)+pq’r

=q(p’+r’)+pq’r

=p’q+qr’+pq’r

Ans (a)

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