Suppose a computer using direct mapped cache has 2²⁰ words of main memory and a cache of 32 blocks, where each cache block contains 16 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 word fields?

c. To which cache block will the memory reference 0DB63₁₆ map?

d. In many computers the cache block size is in the range of 32 to 128 bytes. What would be the main advantages and disadvantages of making the size of the cache blocks larger or smaller within this range