Design a four$-$bit $"2\text{'}$s complement" circuit, which is a combinational circuit. $($The output of the circuit produces the $2\text{'}$s complement of the binary input $(0-1).)$ Design and draw the circuit using Exclusive$-$OR $($XOR$)$ gates. Can you predict the output functions if the circuit were five$-$bit instead of four$-$bit? What changes would be observed in the circuit for a $5-$bit input when generating the $2\text{'}$s complement?

$($a$)"$Segment representation"

$($b$)"$Numerical representation for the display Figure $1"$