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For a set-associative Cache organization, the parameters are as follows:
Calculate the hit ratio for a loop executed 100 times where the size of the loop is n x b and n = k x m is a non-zero integer and 1 < m ≤ l.
Give the value of the hit ratio for l = 1
Correct answer is 'hit ratio = 1-'. Can you explain this answer?
Verified Answer
For a set-associative Cache organization, the parameters are as follow...
Size of the loop = n × b = k × m × b
Size of a set = k × b (k − way associative)
Here, size of the loop is smaller than size of a set as . Now, however be the mapping (whether all be mapped to the same set or not), we are guaranteed that the entire loop is in cache without any replacement.
For the first iteration:
No. of accesses = n × b
No. of misses = n  as each new block access is a miss and loop body has blocks each of size for a total size of .
For, the remaining 99 iterations:
No. of accesses = n × b
No. of misses = 0
So, total no. of accesses = 100nb
Total no. of hits = Total no. of accesses − Total no. of misses
= 100nb − n
So, hit ratio = 
The hit ratio is independent if l, so for l = 1 also we have hit ratio = 1- 
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