$)$ Let us assume

that we have a machine with $224$ bytes of byte addressable main memory. The cache

size is $4096$ bytes, and each cache block contains $16$ bytes. Assuming a direct

mapped cache:

a$.$ How many blocks of main memory do we have?

b$.$ What is the size of the tag, block, and offset fields?

c$.$ To which cache block will the memory address C$12$AB$16$ map?

d$.$ Provide another address that would map to the same block in the cache. The

address should be listed in hexadecimal format