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). fi(a, b.c,d) = Em(2,4,10,11,12,13) f.(a, b.c,d) =[IM(Oto 3,6to9,12,14,15) f(a, b,c,d) = be+abd (a) S, (a, b,c,d) = Em(0,1,7,13) (a,b,c,d)= abT+ acd S(a,b,c,d) =IIM(0,1,2,5,6,7,8,9,11,12,15) (b) (c) Repeat part (a) for the complements of the three functions. (d) Repeat part (b) for the complements of the three functions.