Realize each of the following sets of functions using a 4-to-16 decoder module and output logic gates (choose NAND or AND gates to minimize the fan-in of the output gates). e) ila.bcd) m410,11,1213) f(a,b,c,d)-Π14 (0to 3,6to9,12,14,15) f(a,b,c,d)-+ad b) J(abca)-2m(01,7,13) Tn S(a, b,c,d) abacd f (a, b,c,d)-M(0,12,5,6,7,8,9,11,12,15) (c) Repeat part (a) for the complements of the three functions. (d Repeat part (b) for the complements of the three functions.