36)i) A computer with cache access time of 100 ns and hit ratio of 0·9 produces an average access time of ans. a)250ns c)190ns d)none of these. b)200ns
Question
36)i) A computer with cache access time of 100 ns and hit ratio of 0·9 produces an average access time of ans. a)250ns
c)190ns
d)none of these.
b)200ns
Solution
The average access time of a computer can be calculated using the formula:
Average Access Time = Hit Time + Miss Rate * Miss Penalty
Given in the problem:
- Cache access time (Hit Time) = 100 ns
- Hit ratio = 0.9, therefore, Miss Rate = 1 - Hit ratio = 1 - 0.9 = 0.1
We don't have the Miss Penalty (the time it takes to load data from the main memory when a cache miss occurs) given in the problem. However, we can use the given average access time to solve for it.
The problem states that the average access time is 250 ns, so we can set up the equation as follows:
250 ns = 100 ns + 0.1 * Miss Penalty
Solving for Miss Penalty gives us:
Miss Penalty = (250 ns - 100 ns) / 0.1 = 1500 ns
So, the time it takes to load data from the main memory when a cache miss occurs is 1500 ns.
However, none of the options provided (a) 250 ns, (b) 200 ns, (c) 190 ns, (d) none of these) match this result. Therefore, the correct answer is (d) none of these.
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