$(20$ Points$)$ Consider the following functions with the given don't$-$care conditions: use the K$-$maps to determine:

a$)$ simplified logic functions in SOP format

b$)$ simplified logic functions in POS format.

$\backslash$table$[[$Function$,$Expression,Don't care condition$],[$F$($A$,$B$,$C$,$D$),\backslash$sum $(0,2,6,10,11,12,13),$m$3,$m$4,$m$5,$m$14,$m$15],[$G$($A$,$B$,$C$,$D$),\backslash$Pi $(0,2,3,5,6,8,9,13),$M$10,$ M$11,$ M$12,$ M$14,$ M$15]]$