Consider the following function.

$F(A,B,C,D)=A^{\text{'}}{B}^{\text{'}}+C{D}^{\text{'}}+$ABC$+A^{\text{'}}{B}^{\text{'}}C{D}^{\text{'}}+ABC{D}^{\text{'}}$

$($a$)$ Plot the above function on a Karnaugh map. $($Do not expand to minterm form before plotting.

$($b$)$ Find the minimum sum of products.

$F(A,B,C,D)=$

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

$F(A,B,C,D)=$