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
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
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0a10977-fbe8-44dd-8710-8a9db5a9a487%2F260e6419-b0ca-4b5f-a7f1-1e2ae5d9f329%2F05836p_processed.png&w=3840&q=75)
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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