How to solve Simplify the following functions using K$-$maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don$$t$-$care cases. $(12$ points$)$ a$)(,,,)=(0,2,8,10,12,13,14)$ b$)(,,,)=(0,2,3,5,7,8,10,11,14,15)$ c$)(,,,)=(1,3,6,9,11,12,14)$ d$)(,,)=(0,4,5,6)$ and $(,,)=(2,3,7)6-$ Implement each of the simplified functions in Question $5$ with the corresponding gates. Assume the inputs and their complements are available. $(4$ points$)$