Question

If the hit ratio for a given piece of code is 0.2, the time required to...

If the hit ratio for a given piece of code is 0.2, the time required to access the cache is 20 nanoseconds, and the time to access the underlying physical memory is 1 microsecond, what is the effective memory access time for the piece of code? What is the upper bound on speedup for the situation described in this exercise?
use Amdahl’s Law to determine speedup from this cache.

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Answer #1

Q-> If the hit ratio for a given piece of code is 0.2, the time required to access the cache is 20 nanoseconds, and the time to access the underlying physical memory is 1 microsecond,

Given:

H = hit ratio = 0.2

A = cache access time = 20 ns

m = memory access time = 1 us = 1000 ns

.

a) what is the effective memory access time for the piece of code?

effective access time = A + ( 1-H) * m = 20 + 0.8 * 1000 = 20 + 800 = 820 ns

=> effective access time is 820 ns

.

b) What is the upper bound on speedup for the situation described in this exercise?

speedup = memory access time / effective access time = 1000 / 820 = 1.21

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