Q$3.$

Implement the following Boolean function with a $4**1$ multiplexer and external gates. $F2(A,B,C,D)=(1,2,5,7,8,10,11,13,15)$

Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables $C$ and $D.$ These values are obtained by expressing $F$ as a function of $C$ and $D$ for each of the four cases when $AB=00,01,10,$ and $11.$ These functions may have to be implemented with external gates.