Given the function $F(A,B,C,D)=$ACD$+A^{\text{'}}{B}^{\text{'}}CD+A^{\text{'}}BC{D}^{\text{'}}+A^{\text{'}}B{C}^{\text{'}}D+A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}+ABC{D}^{\text{'}}+AB{C}^{\text{'}}{D}^{\text{'}}+A{B}^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}+A^{\text{'}}{D}^{\text{'}}.$ please complete the following questions.

$($a$)$ What's the sum$-$of$-$minterms form?

$($b$)$ Construct the truth table.

$($c$)$ What's the product of sums form?

$($d$)$ Find the minimum cover for sum$-$of$-$products form by circling $1\text{'}$s on K$-$map.

$($e$)$ Find the minimum cover for product$-$of$-$sums form by circling O$\text{'}$s on K$-$map.