$5-$ Simplify the following functions using K$-$maps, and then derive the corresponding simplified

Boolean expressions. Note that $d$ stands for don't$-$care cases. $(12$ points$)$

a$)F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,2,8,10,12,13,14)$

b$)F(w,x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,2,3,5,7,8,10,11,14,15)$

c$)F(A,B,C,D)=(1,3,6,9,11,12,14)$

d$)F(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(0,4,5,6)$ and $d(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}(2,3,7)$