Q$1.$ Representing Datatypes in Binary $[30]$

$($a$)[5$ points$]$ Convert $+{57}_{10}$ to $8-$bit $2$ s complement integer representation in binary and

hexadecimal. You must show your work!

$($b$)[5]$ Convert $-{24}_{10}$ to $8-$bit $2s$ complement integer representation in binary and hexadecimal.

You must show your work!

$($c$)[5]$ Convert $+{57\mathrm{.}0}_{10}$ to $32-$bit IEEE floating point representation in binary and hexadecimal.

You must show your work!

$($d$)[5]$ Convert $-1\mathrm{.}75{?}_{10}$ to $32-$bit IEEE floating point representation in binary and hexadecimal.

You must show your work!

$($e$)[5]$ Represent the ASCII string "Spring $24"($not including the quotes$)$ in hexadecimal.

$($f$)[5]$ Give an example of an integer that cannot be represented as a $32-$bit signed integer.