Simplify the following using K-map : F(A,B,C,D) = 𝛴 (0,1,2,8,9,12,13) d(A,B,C,D) = 𝛴 (10, 11,14,15) d stands for don't care condition.

1. AA+ B'D'+BC
2. BA+ B'D' + B'C'
3. CA'+ B'C'
4. DA'+ B'C'+ B'D'

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Correct answer: B. A+ B'D' + B'C'

Explanation

With the don't-cares, the bottom half (A = 1) forms the group A. Minterms 0, 1, 8, 9 give B′C′ and 0, 2, 8, 10 give B′D′. F = A + B′D′ + B′C′.