3. (20p)A computer has a cache, main memory, and a disk used for virtual memory. If a referenced word is in the cache, 1 ns are required to access it. If it is in main memory but not in the cache, 10 ns are needed to load it into the cache, and then the reference is started again. If the word is not in main memory, 100 ns are required to fetch the word from disk, followed by 10 ns to copy it to the cache, and then the reference is started again. The cache hit ratio is 0.9 and the main memory hit ratio is 0.8. What is the average time in nanoseconds required to access a referenced word on this system?

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter11: Operating Systems
Section: Chapter Questions
Problem 22VE
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3. (20p)A computer has a cache, main memory, and a disk used for virtual memory. If a referenced word is in the
cache, 1 ns are required to access it. If it is in main memory but not in the cache, 10 ns are needed to load it into
the cache, and then the reference is started again. If the word is not in main memory, 100 ns are required to fetch
the word from disk, followed by 10 ns to copy it to the cache, and then the reference is started again. The cache hit
ratio is 0.9 and the main memory hit ratio is 0.8. What is the average time in nanoseconds required to access a
referenced word on this system?
Transcribed Image Text:3. (20p)A computer has a cache, main memory, and a disk used for virtual memory. If a referenced word is in the cache, 1 ns are required to access it. If it is in main memory but not in the cache, 10 ns are needed to load it into the cache, and then the reference is started again. If the word is not in main memory, 100 ns are required to fetch the word from disk, followed by 10 ns to copy it to the cache, and then the reference is started again. The cache hit ratio is 0.9 and the main memory hit ratio is 0.8. What is the average time in nanoseconds required to access a referenced word on this system?
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