Question $5[24]$ For each of $($i$),($ii$),($iii$),($iv$)$:

$($a$)$ Write the truth table

$($b$)$ Write the function F in canonical SOP or POS form as is appropriate

$($c$)$ Minimize $F$ via K$-$Maps

$($d$)$ Draw the $2-$level logic diagram

$($i$)(0,1,2,3,4)$

$($ii$)(8,9,10,14)$

$($iii$)(2,8)$

$($iv$)(1,3,5,7,9,11)$