a$)$ Simplify the following logic function using Karnaugh maps:

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

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

b$)$ In the function from part a$),$ three don't care terms have been added: $A^{\text{'}}B{C}^{\text{'}}D,A^{\text{'}}BCD,AB{C}^{\text{'}}D$

Use the Karnaugh map to minimize the new function.

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