$(40$ points$)$ Assume we have a $128KB8-$way associative cache, with $32B$ blocks

a$)$ What is the set number we are accessing for virtual address $0098$C$13$A$?$

b$)$ What is the set number and the tag if the for virtual access in part a if cache is $2-$way associative?

c$)$ Repeat $b$ for direct mapped cache.

d$)$ What is the effect $-$ between part a to part $c-($i$.$e$.$ when reducing associativity$)$ on following metrics: miss rate, and hit time.