Which simplified expressions are correct for F(A, B, C, D) = Σ(0, 1, 2, 3, 6, 12, 13, 14, 15)? (A) A′B′ + AB + A′C′D′ (B) A′B′ + AB + A′CD′ (C) A′B′ + AB + BC′D′ (D) A′B′ + AB + BCD′

1. A(A) only
2. B(B) only
3. C(A) and (B) only
4. D(B) and (D) only

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Correct answer: D. (B) and (D) only

Explanation

A′B′ covers 0–3 and AB covers 12–15. Minterm 6 (0110) must be covered by A′CD′ (2, 6) or BCD′ (6, 14). So B and D.