Simplify the following Boolean function $F,$ together with the don't$-$care conditions $d,$ and then express the simplified function in sum$-$of$-$minterms form:

$F(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}(1,5,6,7,12,14,15)$

$d(A,B,C,D)={\displaystyle \underset{?}{\overset{?}{}}}(3,4,9,13,11)$

$B+B^{\text{'}}D$

Unknown

$B+D$

$A+D$