Design a circuit that can determine whether a $4-$bit $2$s complement number $($A$3$A$2$A$1$A$0)$ is larger than another $4-$ bit $2$s complement number $($B$3$B$2$B$1$B$0).$ You may use

premade gates such as full adders, basic gates like AND, OR$,$ NOT. If you use full adders, be sure to make sure your circuit works even if an overflow occurs.

Hint: If A$>$B$,$ do you know anything about A$-$B or B$-$A $?$Design a circuit that can determine whether a $4-$bit $2$s complement number $($A$3$A$2$A$1$A$0)$ is larger than another $4-$ bit $2$s complement number $($B$3$B$2$B$1$B$0).$ You may use

premade gates such as full adders, basic gates like AND, OR$,$ NOT. If you use full adders, be sure to make sure your circuit works even if an overflow occurs.

Hint: If A$>$B$,$ do you know anything about A$-$B or B$-$A $?$