Assume that processor in your PC generates a $32$ bit address for each request. The capacity of the cache memory is $8$KB of data and the block size is of $8$ words. Assume one word is equal to $4$ bytes. $4)$ Find the number of bits required to represent cache line index and tag for the given $32-$ bit address using directed mapping. $(3$ Marks$)$ b$)$ Find the number of bits required to represent tag for the given $32-$bit address using fully associative mapping. $(4$ Marks$)$ c$)$ Find the number of bits required to represent tag for the given $32-$bit address using $2$ way set associative mapping.$(3$ Marks$)$