Computer Science Consider a direct-mapped cache with 8 lines, each holding 16 bytes of data. The cache is byte-addressable and the main memory consists of 64 KB, which is also byte-addressable. Assume that a program reads 16KB of memory sequentially. Answer the following questions: a) How many bits are required for the tag, index, and offset fields of a cache address? b) What is the cache size in bytes? c) What is the block size in bytes? d) What is the total number of blocks in main memory? e) How many cache hits and misses will occur for the program

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter11: Operating Systems
Section: Chapter Questions
Problem 21VE
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Computer Science

 

Consider a direct-mapped cache with 8 lines, each holding 16 bytes of data. The cache is byte-addressable and the main memory consists of 64 KB, which is also byte-addressable. Assume that a program reads 16KB of memory sequentially. Answer the following questions:

a) How many bits are required for the tag, index, and offset fields of a cache address?
b) What is the cache size in bytes?
c) What is the block size in bytes?
d) What is the total number of blocks in main memory?
e) How many cache hits and misses will occur for the program, assuming that the cache is initially empty?
f) What is the hit ratio?
g) Give an example virtual address (in BINARY) that will be placed in cache line 5.

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