Consider a single-level cache with an access time of 2 ns, a line size of 64 bytes, and a hit ratio H=0.94. Main memory uses a block transfer capability that has a first-word (4 bytes) access time of 40ns and an access time of 5ns for each word thereafter. (a) What is the access time when there is a cache miss? Assume that the cache waits until the line has been fetched from main memory and then re-executes for a hit. (b) Suppose that increasing the line size to 128 bytes increases the H to 0.97. Does this reduce the average memory access time?

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider a single-level cache with an access time of 2 ns, a line size of 64 bytes, and a hit ratio H=0.94. Main memory uses a block transfer capability that has a first-word (4 bytes) access time of 40ns and an access time of 5ns for each word thereafter.

(a) What is the access time when there is a cache miss? Assume that the cache waits until the line has been fetched from main memory and then re-executes for a hit.

(b) Suppose that increasing the line size to 128 bytes increases the H to 0.97. Does this reduce the average memory access time?

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