An 8KB direct mapped write-back cache is organized as multiple blocks, each of size 32- bytes. The processor generates 32-bit addresses. The cache controller maintains the tag information for each cache block comprising of the following. 1 Valid bit 1 Modified bit As many bits as the minimum needed to identify the memory block mapped in the cache. What is the total size of memory needed at the cache controller to store metadata (tags) for the cache?

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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An 8KB direct mapped write-back cache is
organized as multiple blocks, each of size 32-
bytes. The processor generates 32-bit
addresses. The cache controller maintains the
tag information for each cache block comprising
of the following.
1 Valid bit
1 Modified bit
As many bits as the minimum needed to identify
the memory block mapped in the cache.
What is the total size of memory needed at the
cache controller to store metadata (tags) for the
cache?
Transcribed Image Text:An 8KB direct mapped write-back cache is organized as multiple blocks, each of size 32- bytes. The processor generates 32-bit addresses. The cache controller maintains the tag information for each cache block comprising of the following. 1 Valid bit 1 Modified bit As many bits as the minimum needed to identify the memory block mapped in the cache. What is the total size of memory needed at the cache controller to store metadata (tags) for the cache?
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