A logic circuit realizing the function f has four inputs A, B, C, and D. The three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D is such that A, B, C, and D always contain an odd number of 1s. (For example, the digit 1 is represented by ABC = 001 and D = 0, and the digit 3 is represented by ABCD = 0111.) The function f has value 1 if the input digit is an odd number and value 0 if the input digit is an even number.'

(a) List the minterms and dont-care minterms of f in algebraic form.

(b) List the maxterms and dont-care maxterms of f in algebraic form.