2.) (20 POINTS) Assume a cache with the following parameters: b: block size give

Question

2.) (20 POINTS) Assume a cache with the following parameters: b: block size given number of words - S: number of sets - N: number of ways - A: number of address bits word: 4 bytes Using these parameters, give the formula for each item required below. 2.A.) (5 POINTS) Cache capacity C? 2.B.) (5 POINTS) Number of bits required to store the tags? 2.C. (5 POINTS) S and N for a fully associative cache of capacity C words with block size b? 2.D. (5 POINTS) S for a direct mapped cache of size C words and block size b?

Explanation / Answer

Given that,

Block size = b
No. of sets = S
no.of ways = N
no.of address bits = A
word = 4 bytes

2A) Cachhe capacity:
....................

The formmula for no.of sets = cache size/ block size
=> S = Cache size / b
=> Cache size = Sb.

2B) No.of bits required to store tags:
.....................................
block size = b
Index = S/N
Then Tag = A-(S/N)-b

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