$*F_1(a,c,b,d)=M(5,6,9,11,12,14)*D(0,1,2,4,8)$

$F_2(a,c,b,d,e)=m(0,1,2,5,7,9,11,19,21,22,23,25,29)+d(4,10,13,17,24,30,31)$

a$)$ Simplify the above mentioned Boolean expressions into POS format using K$-$map.

b$)$ Draw the logic diagrams of the simplified expressions from Question $1.$a$.$

c$)$ Find the compliments of the above$-$mentioned Boolean expressions.