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Consider a CPU with a memory system with the following parameters: Page size: 4 KB Cache capacity: 1 2 8 KB Cache set - associativity:

Consider a CPU with a memory system with the following parameters:
Page size: 4 KB
Cache capacity: 128 KB
Cache set-associativity: 4
Cache line size: 64 bytes
A.(3 points) How many copies of the same data can exist in the cache due to the synonym
problem?
B.(3 points) Is it possible to prevent synonyms through OS without changing the parameters of
the memory system? If so, how? If not, why cant it be done?
C.(3 points) In order to prevent synonyms, consider changing the cache capacity. Assuming
other design parameters remain the same, what should be the new cache size in KB?
D.(3 points) Instead of changing the capacity, consider changing the page size and setassociativity to prevent synonyms. If the page size is doubled, what should be the new setassociativity (i.e., how many ways are needed?) Assume other parameters remain the same.

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