4. Suppose a computer using a fully associative cache has 2^24 byte of byte-addressable main memory and a cache of 128 blocks, where each block contains 64 bytes. a) How big in kilobytes is main memory? b) How big in bytes is cache? In kilobytes? c) How many blocks of main memory are there? d) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag and offset fields? e) To which cache block will the memory address 0x01D8729A map?

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter11: Operating Systems
Section: Chapter Questions
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4. Suppose a computer using a fully associative cache has 2^24 byte of byte-addressable main memory and a cache of
128 blocks, where each block contains 64 bytes.
a) How big in kilobytes is main memory?
b) How big in bytes is cache? In kilobytes?
c) How many blocks of main memory are there?
d) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag and offset fields?
e) To which cache block will the memory address 0x01D8729A map?
Transcribed Image Text:4. Suppose a computer using a fully associative cache has 2^24 byte of byte-addressable main memory and a cache of 128 blocks, where each block contains 64 bytes. a) How big in kilobytes is main memory? b) How big in bytes is cache? In kilobytes? c) How many blocks of main memory are there? d) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag and offset fields? e) To which cache block will the memory address 0x01D8729A map?
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