Given the logic functions: (i) F = AB + BCD + ABD + ABCD + BCD + CD (ii) G = (A + B+C)(A+B+C)(A + B + C + D) (A + B + C + D) (a) plot K-Map for each of the functions, identify the essential prime implicants; (b) express (i) in numeric minterm form, i.e. F= m(....); (c) express (i) in minimum product-of-sums form; and (d) express (ii) in minimum sum-of-products form; (e) implement the result of (c) using 3-input NAND gates only; (f) implement the result of (d) using 3-input NOR gates only.