Implement the following functions with $($a$)$ PAL, and $($b$)$ with PLA.

o F$1($A$,$B$,$C$,$D$)=$ Sm$(0,2,7,10)+$ Sd$(12,15)$

o F$2($A$,$B$,$C$,$D$)=$ Sm$(2,4,5)+$ Sd$(6,7,8,10)$