Problem $02$: Number Representations

Without allowing a calculator do all the work answer the following:

$($a$)$ Write the $10-$bit unsigned binary representation of the number whose decimal representation is

$($b$)$ Write the $10-$bit unsigned binary representation of the number whose decimal representation is

$($c$)$ Write the $10-$bit unsigned binary representation of the number whose decimal representation is

$($d$)$ What number has the $12-$bit unsigned binary representation ${110110011011}_2?$

$($e$)$ What number has the $12-$bit unsigned binary representation ${10111001010101}_2?$

$($f$)$ What number has the hexadecimal representation FEED,$F00D_{16}?$

$($g$)$ Suppose FEED,$F00D_{16}$ is the hexadecimal representation of a number $M.$ Write the of $M$ without using the multiplication$-$by$-$two and the division$-$by$-$two algorithms..