Suppose a computer using fully associative cache has $2^{16}$ bytes

of byte$-$addressable main memory and a cache of $64$ blocks, where each cache block

contains $32$ bytes.

a$.$ How many blocks of main memory are there?

b$.$ What is the format of a memory address as seen by the cache, i$.$e$.,$ what are the

sizes of the tag and offset fields?

c$.$ To which cache block will the memory address F$8$C$9$ map?