Suppose a computer using fully associative cache has 2²⁴ bytes of byte-addressable main memory and a cache of 128 blocks, where each block contains 64 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 0x01D872 map?