Increasing associativity requires more comparators and more tag bits per cache block. Assuming a cache of 4096 blocks, a four-word block size, and a 64-bit address, find the total number of sets and the total number of tag bits for caches that are direct-mapped, two-way and four-way set-associative, and fully associative.

Increasing associativity requires more comparators and more tag bits per cache block. Assuming a cache of 4096 blocks, a four-word block size, and a 64-bit address, find the total number of sets and the total number of tag bits for caches that are direct-mapped, two-way and four-way set-associative, and fully associative.

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

Section: Chapter Questions

Problem 1PE

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Concept explainers

Fundamentals of memory

A collection of connected storage devices form the memory unit. It is a space to store data and instructions required for processing. Information is stored in a memory unit in the form of bits. There are two types of memory namely:

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Increasing associativity requires more comparators and more tag bits per cache block. Assuming a cache of 4096
blocks, a four-word block size, and a 64-bit address, find the total number of sets and the total number of tag bits
for caches that are direct-mapped, two-way and four-way set-associative, and fully associative.

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Consider a four-way set associative cache comprised of 64-bit words. The number of sets is 4096 and the number of words per line is 8. What is the size of the cache?
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