Implement the Boolean function $F(w,x,y,z)=(0,3,4,6,9,12,14)$ with a $4-$to$-1$ multiplexer and external

gates. Connect inputs $w$ and $x$ to the selection lines. Express $F$ as a function of $y$ and $z$ for the data inputs of the

multiplexer. These functions may have to be implemented with external gates.