$($a$)$ Convert the following $32-$bit hexadecimal numbers to decimal. For each

hexadecimal number, show the steps taken to derive the answer. Assume that all of

them are signed integers.

$($i$)0x0000000$

$($ii$)07E000000$

$(4$ Marks$)$

$($b$)$ Convert the following $16-$bit hexadecimal numbers to decimal. For each

hexadecimal number, show the steps taken to derive the answer. Assume that all of

them are signed real numbers with $4$ fractional bits $($in Q$12\mathrm{.}4$ format$).$

$($i$)0xFFF8$

$($ii$)0700C$

$(6$ Marks$)$