3 Suppose a computer using set associative cache has 228 words of m

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3. Suppose a computer using set associative cache has

228 words of main memory and a cache of 64 blocks, and

each cache block contains 8 words.

a. If this cache is 2-way set associative, what is the format

of a memory address as seen by the cache, that is, what

are the sizes of the tag, set, and word fields?

b. If this cache is 4-way set associative, what is the format

of a memory address as seen by the cache?

Solution

No. of sets = no of block in cache /no of way set

associative = 64/2 = 32 sets

To address one of the set = 32 = 2^5 we need 5 bits, so

the set field is 5 bits

The offset 4 = 2^2 =so it will be 2 bits and the memory

address it contain 28 bits,

and the tag field will be = 28 - (5+2) = 21 bits.

64/4 = 16 sets.so the sets is 16 = 2^4 we need 4 sets field

so the tag will be (28-(4+2) )= 22 bits.

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3. Suppose a computer using set associative cache has 228 words of main memory and a cache of 64 blocks, and each cache block contains 8 words. a. If this cache is 2-way set associative, what is the format of a memory address as seen by the cache, that is, what are the sizes of the tag, set, and word fields? b. If this cache is 4-way set associative, what is the format of a memory address as seen by the cache? Solution No. of sets = no of block in cache /no of way set associative = 64/2 = 32 sets To address one of the set = 32 = 2^5 we need 5 bits, so the set field is 5 bits The offset 4 = 2 ...
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