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

Boolean expressions. Note that d stands for don$$t$-$care cases.

a$)$F$($w$,$x$,$y$,$z$)=\backslash$Sigma $(0,2,8,10,12,13,14)$

b$)$F$($w$,$x$,$y$,$z$)=\backslash$Sigma $(0,2,3,5,7,8,10,11,14,15)$

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

d$)$F$($w$,$x$,$y$,$z$)=\backslash$Sigma $(0,4,5,6)$ and d$($x$,$y$,$z$)=\backslash$Sigma $(2,3,7)$