Minimize the Boolean function F using K$-$Map.

$F(A,B,C,D)=(0,1,2,3,6,12,13,14,15)$

a$.A^{\text{'}}{B}^{\text{'}}+AB+A^{\text{'}}{C}^{\text{'}}{D}^{\text{'}}$

b$.A^{\text{'}}{B}^{\text{'}}+AB+B{C}^{\text{'}}{D}^{\text{'}}$

c$.A^{\text{'}}{B}^{\text{'}}+AB+BC{D}^{\text{'}}$

d$.A^{\text{'}}{B}^{\text{'}}+AB+A^{\text{'}}C{D}^{\text{'}}$