Digital design problem.

$3\mathrm{.}4K-,.$

$($a$)*F(w,x,y,z)=(0,1,4,5,8,12)$

$($b$)*F(w,x,y,z)=(4,6,9,11,12,14)$

$($c$)*F(w,x,y,z)=(1,3,5,6,7,9,11)$

$($d$)*F(w,x,y,z)=(2,6,7,10,14,15)$

$($e$)F(w,x,y,z)=(9,10,11,12,13,15)$

$($f$)F(w,x,y,z)=(0,2,4,6,9,11,13,15)$

$($g$)F(w,x,y,z)=(0,1,2,4,6,8,9)$

$($h$)F(w,x,y,z)=(0,3,6,7,8,11,14,15)$