A CPU is equipped with a cache. If it takes 4 ns to access the data from the cache and 200 ns to access data from the main memory, what is the effective memory access time if the hit ratio is 95%? Answer = _ns

Database System Concepts
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**Question:**

A CPU is equipped with a cache. If it takes 4 ns to access the data from the cache and 200 ns to access data from the main memory, what is the effective memory access time if the hit ratio is 95%?

**Answer =** _______________ ns

---

To solve this, you can use the formula for effective memory access time (EMAT):

\[ \text{EMAT} = (\text{Hit Ratio} \times \text{Cache Access Time}) + (\text{Miss Ratio} \times \text{Main Memory Access Time}) \]

Given:
- Cache Access Time = 4 ns
- Main Memory Access Time = 200 ns
- Hit Ratio = 95% = 0.95
- Miss Ratio = 1 - Hit Ratio = 0.05

Substitute the values into the formula to find the effective memory access time.
Transcribed Image Text:**Question:** A CPU is equipped with a cache. If it takes 4 ns to access the data from the cache and 200 ns to access data from the main memory, what is the effective memory access time if the hit ratio is 95%? **Answer =** _______________ ns --- To solve this, you can use the formula for effective memory access time (EMAT): \[ \text{EMAT} = (\text{Hit Ratio} \times \text{Cache Access Time}) + (\text{Miss Ratio} \times \text{Main Memory Access Time}) \] Given: - Cache Access Time = 4 ns - Main Memory Access Time = 200 ns - Hit Ratio = 95% = 0.95 - Miss Ratio = 1 - Hit Ratio = 0.05 Substitute the values into the formula to find the effective memory access time.
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