Consider the Boolean functions listed below. Each group should select one func then proceed to answer the subsequent questions.

Group $5$: $f(a,b,c,d)=(a.d)*(b.c)+d^{\text{'}}$

$($Q$2)$ write the minterm expansion form.

$($Q$3)$ Simplify minterm expansion using its Karnaugh map $($k$\_$Map$).$