Problem $7$; $(10$ points$)$ Realize the $1-$bit logic unit module specified in the function table of Table $2($problem $6)$ using SSI gates and a $4$ to $1$ multiplexer. The $74153$ schematic below is a $41$ multiplexer with two selections $($B $($MSB$)$ to A $($LSB$)),$ four inputs $(1$C$0$ to $1$C$3),$ one active high enable GN$,$ and output Y$.$ Use proper mixed logic design and clearly label the inputs and outputs of the design.