(a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 = 1×2 is not a composite number but 4 = 2 × 2 and 6 = 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.