On a computer with a $32-$bit memory address and the length of the memory

location of $1$ byte is installed in set$-$associative cache. Cache size is $16$ KB$,$ block

line size is $16$ bytes, set$-$associative cache is $4-$way.

$($a$)$ How many sets are there is cache?

$($b$)$ Which bits in the memory address determine the set number?

$($c$)$Into which set is mapped the content of memory address $010$FFCFF $($given

in hex$)?$