Design a $4-$bit Full$-$Adder using simple AND, OR$,$ and NOT logical gates.$$

Note:

The Full$-$Adder will take in two $4-$bit values, and $1$ carry$-$in$.$

The Full$-$Adder will output also three condition codes which are: ZF $($zero flag$),$ SF $($sign flag$),$ and OF $($overflow flag$).$

Submit a word file that contains all the details of your implementation