$3\mathrm{.}4$ Simplify the following Boolean functions, using K$-$maps:

$($a$)*F(x,y,z)=(2,3,6,7)$

$($b$)*F(A,B,C,D)=(4,6,7,15)$

$($c$)*$ F $($A$,$ B$,$ C$,$ D$)=(3,7,11,13,14,15)$

$($d$)*F(w,x,y,z)=(2,3,12,13,14,15)$

$($e$)$ F $($w$,$ x$,$ y$,$ z$)=(11,12,13,14,15)$

$($f$)F(w,x,y,z)=(8,10,12,13,14)$

$($g$)F(w,x,y,z)=(0,1,4,5,10,11,14,15)$

$($h$)$ F $($w$,$ x$,$ y$,$ z$)=(2,3,6,7,8,9,12,13)$

Instructions: check your work using a truth table showing initial function values and minimized function, and finally, draw the corresponding logic gate diagram