Question: A computer system contains a main memory of 32KB. It also has a 1KB cache divided into two-lines/set with 8Bytes per line. Assume that the cache is initially empty. The processor fetches words from locations 1024, 1025, 1026..1072. and then 2048, 2049, 2050, ..... .. 2096 in that order. It then repeats this fetch sequence two more times. Calculate the Hit ratio and show the state of cache at the end. Assume an LRU is used as replacement algorithm. Estimate the improvement resulting from the use of the cache, if the cache is 20 times faster than RAM. Just comment on relative Hit ratios and Execution times if Fully Associative and Direct Mapping are used here.

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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Question: A computer system contains a
main memory of 32KB. It also has a 1KB
cache divided into two-lines/set with
8Bytes per line. Assume that the
cache is initially empty. The processor
fetches words from locations 1024, 1025,
1026..1072. and then 2048, 2049, 2050,
... 2096 in that
order. It then repeats this fetch sequence
two more times.
Calculate the Hit ratio and show the state of
cache at the end. Assume an LRU is used as
replacement algorithm.
Estimate the improvement resulting from
the use of the cache, if the cache is 2O
times faster than RAM.
Just comment on relative Hit ratios and
Execution times if Fully Associative and
Direct Mapping are used here.
***Please don't copy-paste the answer
from another Chegg answer because they
are copying the wrong answer. Question is
changed and 1KB cache divided into two-
lines/set with 8Bytes per line. So please
keep this in mind and solve this plz. Don't
give wrong answer.***
Transcribed Image Text:Question: A computer system contains a main memory of 32KB. It also has a 1KB cache divided into two-lines/set with 8Bytes per line. Assume that the cache is initially empty. The processor fetches words from locations 1024, 1025, 1026..1072. and then 2048, 2049, 2050, ... 2096 in that order. It then repeats this fetch sequence two more times. Calculate the Hit ratio and show the state of cache at the end. Assume an LRU is used as replacement algorithm. Estimate the improvement resulting from the use of the cache, if the cache is 2O times faster than RAM. Just comment on relative Hit ratios and Execution times if Fully Associative and Direct Mapping are used here. ***Please don't copy-paste the answer from another Chegg answer because they are copying the wrong answer. Question is changed and 1KB cache divided into two- lines/set with 8Bytes per line. So please keep this in mind and solve this plz. Don't give wrong answer.***
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