Assume a system with 32-bit pointers and 512-byte blocks. Its cache is 2 MB, excluding metadata. Each memory cell is one byte. (a) How many blocks can be stored in the cache? (b) How many bits is the block offset? (c) Assuming a fully-associative cache, how many bits is the tag?

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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Assume a system with 32-bit pointers and 512-byte
blocks. Its cache is 2 MB, excluding metadata. Each
memory cell is one byte.
(a) How many blocks can be stored in the cache?
(b) How many bits is the block offset?
(c) Assuming a fully-associative cache, how many
bits is the tag?
(d) Assuming a two-way set-associative cache, how
many sets (i.e. rows) are there?
(e) Assuming a two-way set-associative cache, how
many bits is the index (i.e. the component of the
address that indicates the cache row)?
(f) Assuming a two-way set-associative cache, how
many bits is the tag?
(g) Assuming an eight-way set-associative cache,
how many sets are there?
(h) Assuming an eight-way set-associative cache,
how many bits is the index?
(i) Assuming an eight-way set-associative cache,
how many bits is the tag?
Transcribed Image Text:Assume a system with 32-bit pointers and 512-byte blocks. Its cache is 2 MB, excluding metadata. Each memory cell is one byte. (a) How many blocks can be stored in the cache? (b) How many bits is the block offset? (c) Assuming a fully-associative cache, how many bits is the tag? (d) Assuming a two-way set-associative cache, how many sets (i.e. rows) are there? (e) Assuming a two-way set-associative cache, how many bits is the index (i.e. the component of the address that indicates the cache row)? (f) Assuming a two-way set-associative cache, how many bits is the tag? (g) Assuming an eight-way set-associative cache, how many sets are there? (h) Assuming an eight-way set-associative cache, how many bits is the index? (i) Assuming an eight-way set-associative cache, how many bits is the tag?
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