$4.(15$ points, $5$ points each$)$ How many bit comprise the tag, set index, and block offset for the each of the cache configurations? In all cases, the systems are byte$-$addressable and have $32-$bit addresses. Note the answer could be $0$ bits in some situations.

a$.$ A $2$ MB direct mapped cache with $32$ byte cache blocks.

tag: bits

set index:

bits

block offset:

bits

b$.$ A $16$ KB fully associative cache with $1$ byte cache blocks.

tag: bits

set index:

bits

block offset:

bits

c$.$ A $128$ KB $8-$way set associative cache with $16$ byte cache blocks.