Question $5-$ Overflow with signed and unsigned numbers $(8$ pts$)$

Let $A=(79{)}_{10}$ and $B=(89{)}_{10}.$ Both numbers are stored in $8-$bit registers, and are added

using an $8-$bit adder circuit. The output of the $8-$bit adder is an $8-$bit sum and a carry

bit into the ninth bit position which is an indication of overflow in the unsigned range.

$($a$)$ What is the resulting $8-$bit sum $A+B?$

Enter a binary number with eight digits and the leading Ob$,$ e$.$g$.,0b00001101.$

$($b$)$ What is the value of the sum as an $8-$bit signed number? Enter a decimal number.

$($c$)$ Is the carry bit set with the operation described in part $($a$),$ i$.$e$.,$ is there unsigned

number overflow?

$($d$)$ Is there signed number overflow with the operation described in part $($a$)?$