mplement F$($A$,$B$,$C$)=($A$+$B$+$C$)($A$+$C$)($B$+$C$)$ using: $(5$ pts ea$.=$ Total of $25)$

A$.$ A $3$x$8$ active high decoder

B$.$ A $3$x$8$ active low decoder

C$.$ A minimal realization using just $2-$input NOR. $($Minimal gates used$)$

D$.$ A minimal realization using just $2-$input NAND $($Minimal gates used$)$

E$.$ State which build, between C$.)($NOR$)$ or D$.)($NAND$),$ is most efficient. Explain if there is

a unique way you got a more efficient circuit if there is one.