Problem $1.$

a$)$ How many total bits are required for a direct$-$mapped cache with $32$ KiB of data and two$-$word

blocks, assuming a $64-$bit address?

b$)$ Calculate the total number of bits required to implement a $64$ KiB cache with $16-$word blocks,

assuming a $64-$bit address. How much bigger is this cache than cache in part a$?$

c$)$ Explain why this $64$ KiB cache, despite its larger data size, might provide slower performance

than the first cache.