Simplify the following Boolean functions F$,$ together with the don$$t$-$care conditions d$,$ and then express the simplified function in sum$-$of$-$minterms form: $($a$)$ F$($x$,$ y$,$ z$)=(0,1,4,5,6)$ d$($x$,$ y$,$ z$)=(2,3,7)($b$)$ F$($A$,$ B$,$ C$,$ D$)=(5,6,7,12,14,15)($c$)$ F$($A$,$ B$,$ C$,$ D$)=(2,4,7,10,12)$ d$($A$,$ B$,$ C$,$ D$)=(3,9,11)$ d$($A$,$ B$,$ C$,$ D$)=(0,6,8)$