Suppose a computer using direct mapped cache has 2³²words of word-addressable main memory and a cache of 2048 blocks, where each cache block contains 32 words.

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

b.) What is the format of a memory address as seen by the cache, that is, what are the sizes of the tag, block, and offset field?

c.) To which cache block will the memory address 000063FA16 map?

d.) If the computer uses fully associative cache, what is the format of a memory address as seen by the cache, that is, what are the sizes of the tag and offset field?

e.) If the computer uses 4-way set associative cache, what is the format of a memory address as seen by the cache, that is, what are the sizes of the tag, set, and offset field?