$1.$Use the K$-$map to determine the prime implicants, essential prime implicants, a minimum sum of

products, prime implicates, essential prime implicates, and a minimum product of sums for each of the

following Boolean function. Also, for each one compute a minimum product of sums and a minimum

sum of products of its complements.

a$.f(a,b,c,d)=M(0,1,8,11,12,14)$

b$.g(a,b,c,d)={\displaystyle \underset{?}{\overset{?}{}}}m(0,1,3,5,6,8,11,13,15)$

c$.h(a,b,c)={\displaystyle \underset{?}{\overset{?}{}}}m(1,4,5,6)$

Write the decimal representation of SSOP and SPOS for each of the above functions and its

complement.