$($c$)$ Find the minimum map to find the minimum sum$-$of$-$products form for $F^{\text{'}}.$

$($c$)$ Find the minimum product of sums for $F.$

$5\mathrm{.}30$ Assuming that the inputs ABCD$=0101,BCD=1001,$ABCD$=1011$ never occur, find a simplified expression for

$F=A^{\text{'}}B{C}^{\text{'}}D+A^{\text{'}}{B}^{\text{'}}D+A^{\text{'}}CD+$ABD$+$ABC