Computer Science · Digital Logic
Consider the Boolean function F(P, Q, R, S) = Σ(0, 2, 5, 7, 8, 10, 13, 15), where minterms 2, 7, 8, and 13 are 'don't care' conditions. The minimal sum-of-products (SOP) form for F is:
- 1P̄ Q̄ S̄ + P̄ QS + PQS + P Q̄ S̄
- 2Q̄ R̄ S̄ + Q̄ R S̄ + Q R̄ S + QRS
- 3Q̄ S̄ + QS✓
- 4Q S̄ + Q̄ S
Correct answer
Q̄ S̄ + QS
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