Assume that the cache is initially empty. The processor fetches words from locations in order: 4098, 205 4096, 2050, 2049, 2048, 1025, 1024 in that order. Assume an LRU is used as replacement algorithm. Calculate the Hit ratio. Show the state of cache at the end. How many blocks are replaced? Estimate the improvement resulting from the use of the cache, if the cache is 15 times faster than RAM.

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
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2. A computer system contains a main memory of 32KB. It also has a IKB cache divided into two-lines/set with 8Bytes per line.
Assume that the cache is initially empty. The processor fetches words from locations in order: 4098, 2052, 2051, 1026, 4097,
4096, 2050, 2049, 2048, 1025, 1024 in that order. Assume an LRU is used as replacement algorithm.
Calculate the Hit ratio.
Show the state of cache at the end.
How many blocks are replaced?
Estimate the improvement resulting from the use of the cache, if the cache is 15 times faster than RAM.
Just comment relative Hit Ratio and execution time if 4-way set associative cache is used instead.
Transcribed Image Text:2. A computer system contains a main memory of 32KB. It also has a IKB cache divided into two-lines/set with 8Bytes per line. Assume that the cache is initially empty. The processor fetches words from locations in order: 4098, 2052, 2051, 1026, 4097, 4096, 2050, 2049, 2048, 1025, 1024 in that order. Assume an LRU is used as replacement algorithm. Calculate the Hit ratio. Show the state of cache at the end. How many blocks are replaced? Estimate the improvement resulting from the use of the cache, if the cache is 15 times faster than RAM. Just comment relative Hit Ratio and execution time if 4-way set associative cache is used instead.
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