Question
Download Solution PDFConsider the following Boolean expression for F:
F(P, Q, R, S) = PQ + P̅QR + P̅QR̅S
The minimal sum-of-products form of F is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFF(P, Q, R, S) = PQ + P̅QR + P̅QR̅S
F(P, Q, R, S) = PQ(R + R̅)(S + S̅) + P̅QR(S + S̅) + P̅QR̅S
F(P, Q, R, S) = PQRS + PQRS̅ + PQR̅S + PQR̅S̅ + P̅QRS + P̅QRS̅ + P̅QR̅S
F(P, Q, R, S) = ∑ (15 + 14 + 13 + 12 + 7 + 6 + 5)
K-Map:
F(P, Q, R, S) = PQ + QR + QS
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