Question $3$

$[6$ points$]$

Perform the following conversions. Note: for part $($b$),$ the "base $36"$ digits are $0,1,2,$dots,$9,$

A$,$ B$,$ C $,...$ Z$.$ Also, do not attempt to do part $($b$)$ or part $($c$)$ by "brute force".

$($a$){135}_{10}={?}_7$

$($b$)CP{U}_{36}={?}_6$

$($c$){11001000110}_2={?}_{16}$

$($d$){1011100}_2={?}_6$

$($e$)F{3}_{16}={?}_5$

$($f$){266}_8={?}_{10}$