Two's complement:

$($a$)$ You have $5$ bit wide registers with numbers represented in two's complement. Determine

the binary representation for $-13($i$.$e$.-\text{'}$d$13)$

$($b$)$ Use binary two's complement to subtract $8$ from $-13($i$.$e$.$ calculate $-13-8).$ Does the

result overflow? Explain

$($c$)$ Explain and show how to mitigate overflow in this specific example.