Perform the following additions on unsigned integers, assuming a nine$-$bit cell. Show the effect on the carry bit:

$($a$)$ ADD $($remember$,$ you only have room for $9$ bits in the answer$)$

$001001011$

$011010001$

The carry bit is

$($b$)$

ADD $($remember$,$ you only have room for $9$ bits in the answer$)$

$100011101$

$011101000$

The carry bit is

$($c$)$

ADD $($remember$,$ you only have room for $9$ bits in the answer$)$

$111111111$

$000000001$

The carry bit is

$($d$)$

ADD $($remember$,$ you only have room for $9$ bits in the answer$)$

$111111111$

$111111111$

The carry bit is