A combinational logic circuit which has one output Z and 4-bit input ABCD repres

Question

A combinational logic circuit which has one output Z and 4-bit input ABCD representing a binary number. Z should be 1 if and only if the input ABCD represents an odd number greater or equal than 5 (ABCD = 0101, 0111,...,1111). What is the minimum solution for Z(A,B,C,D) given in sum-of-product?

Z(A,B,C,D) = A'B + AB'CD' + AB'C'

Z(A,B,C,D) = A'B + AB'D' + AB'C'

Z(A,B,C,D) = BD + AD

None of the above

Z(A,B,C,D) = A'B + AB'CD' + AB'C'

Z(A,B,C,D) = A'B + AB'D' + AB'C'

Z(A,B,C,D) = BD + AD

None of the above

Explanation / Answer

Answer will be Z(ABCD)= BD + AD

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