What is the cache hit ratio. if memory access takes 20 ns with cache and 110 ns without it (cache uses a 10 ns memory)?
Question
What is the cache hit ratio. if memory access takes 20 ns with cache and 110 ns without it (cache uses a 10 ns memory)?
Solution
The cache hit ratio can be calculated using the formula:
Hit ratio = (Twithout cache - Twith cache) / (Twithout cache - Tcache)
Where:
- Twithout cache is the time it takes to access memory without cache
- Twith cache is the time it takes to access memory with cache
- Tcache is the time it takes to access the cache
Given:
- Twithout cache = 110 ns
- Twith cache = 20 ns
- Tcache = 10 ns
Substituting these values into the formula, we get:
Hit ratio = (110 ns - 20 ns) / (110 ns - 10 ns) = 90 / 100 = 0.9 or 90%
So, the cache hit ratio is 90%.
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