1. Suppose a computer has 2³2 bytes of byte-addressable main memory and a cache size of 2¹5 bytes, and each cache block contains 64 bytes. a) How many blocks of main memory are there? (_ b) How many blocks of cache memory are there? ( If this cache is direct-mapped, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of block field and the size of the offset field d) If this cache is fully associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ and the size of the offset field e) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of set field and the size of the offset field

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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1. Suppose a computer has 2³2 bytes of byte-addressable main memory and a cache
size of 2¹5 bytes, and each cache block contains 64 bytes.
a) How many blocks of main memory are there? (_
b)
How many blocks of cache memory are there? (_
c)
If this cache is direct-mapped, what is the format of a memory address as seen by the cache;
that is, the size of the tag field_
the size of block
field
and the size of the offset field_
d) If this cache is fully associative, what is the format of a memory address as seen by the cache;
that is, the size of the tag field_
and the size of the offset
field
e) If this cache is 4-way set associative, what is the format of a memory address as seen by the
cache; that is, the size of the tag field_
the size of set
field
and the size of the offset field
Transcribed Image Text:1. Suppose a computer has 2³2 bytes of byte-addressable main memory and a cache size of 2¹5 bytes, and each cache block contains 64 bytes. a) How many blocks of main memory are there? (_ b) How many blocks of cache memory are there? (_ c) If this cache is direct-mapped, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of block field and the size of the offset field_ d) If this cache is fully associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ and the size of the offset field e) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of set field and the size of the offset field
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