MH Design a 256KB (note the B) direct-mapped data cache that uses a 32-bit data and address and 8 words per block. Calculate the following: (a) How many bits are used for the byte offset and why? 1 0 29 The byte offset needs 5 bits to address each byte within a block because 2^5 = 32_ (b) How many bits are used for the set (index) field? We will need 13 bits for the set (index)_ (c) How many bits are used for the tag? 32-5-13 14 bits_ (d) What's the overhead for that cache? 2^13 X 14 = 114688 bits__ (e) How is the address divided, label below? 200 JN 8 7 2222 NN HN 2 1 ON 9 8 HD 6 15 1 WH NH 3 2 1 1 HO 1 9 60 10 44 m N O

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
Design a 256KB (note the B) direct-mapped data cache that uses a 32-bit data and address and 8 words per block.
Calculate the following:
(a) How many bits are used for the byte offset and why?
The byte offset needs 5 bits to address each byte within a block because 2^5 = 32_
(b) How many bits are used for the set (index) field?
We will need 13 bits for the set (index)_
3
0
9
(c) How many bits are used for the tag?
32-5-13 14 bits
(d) What's the overhead for that cache?
2^13 X 14 114688 bits_
(e) How is the address divided, label below?
2
8
2
2
6
2
5
2
4
2
3
2
2
2
1
2 1
0
9
8
1
7
1
6
5
1
4
3
2
Transcribed Image Text:1 Design a 256KB (note the B) direct-mapped data cache that uses a 32-bit data and address and 8 words per block. Calculate the following: (a) How many bits are used for the byte offset and why? The byte offset needs 5 bits to address each byte within a block because 2^5 = 32_ (b) How many bits are used for the set (index) field? We will need 13 bits for the set (index)_ 3 0 9 (c) How many bits are used for the tag? 32-5-13 14 bits (d) What's the overhead for that cache? 2^13 X 14 114688 bits_ (e) How is the address divided, label below? 2 8 2 2 6 2 5 2 4 2 3 2 2 2 1 2 1 0 9 8 1 7 1 6 5 1 4 3 2
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