5. Suppose a byte-addressable computer using set-associate cache has 2^21 bytes of main memory and a cache of 64 blocks, where each cache block contains 16 bytes. a) If this cache is 2-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields? b) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields?

5. Suppose a byte-addressable computer using set-associate cache has 2^21 bytes of main memory and a cache of 64 blocks, where each cache block contains 16 bytes. a) If this cache is 2-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields? b) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields?

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Description: 5. Suppose a byte-addressable computer using set-associative cache has 2^21 bytes of main memory and a cache of 64 blocks, where each cache block contains 16 bytes.a) If this cache is 2-way set associative, what is the format of a memory address as

Database System Concepts

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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

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5. Suppose a byte-addressable computer using set-associative cache has 2^21 bytes of main memory and a cache of 64 blocks, where each cache block contains 16 bytes.
a) If this cache is 2-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields?
b) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, set, and offset fields?

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1. Caches are important to providing a high-performance memory hierarchy to processors. Below is a list of 32-bit memory address references, given as word addresses. 42, 137, 66, 50, 38, 225, 173, 22, 19, 88, 51, 43 a. For each of these references, identify the binary address, the tag, and the index given a direct mapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. b. For each of these references, identify the binary address, the tag, and the index given a direct mapped cache with two-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. Please explain the process.
For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. Tag 31-10 Index 9-5 a. What is the cache block size (in words)? b. How many entries does the cache have? Offset 4-0 c. What is the ratio between total bits required for such a cache implementation over the data storage bits?
Cache system B represents a 2-way set-associative mapping cache system in table 2 The system is byte-addressable and the block size is one word (4 bytes). The tag and set numbers are represented with binary numbers. The contents of words in a block are represented with hexadecimal. Tag 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 Table 2 1. What is the size of the main memory for the Cache system B? Answer= 2. What is the size of the cache memory of Cache system B? Answer = Answer= Answer = 16 Answer = Set Number 16 1011 0110 1101 1011 0110 1101 miss(es) 1011 0110 1110 1011 0110 1110 1011 0110 1111 1011 0110 1111 1011 0111 0000 3. If we request to read memory address F1 24 2D B7, what data do we get? 1011 0111 0000 1011 0111 0001 1011 0111 0001 4. If we…
Below is a series of byte addresses in a system with 32 bit words. Assuming a direct-mapped cache with 4-word blocks and a total size of 32 words that is initially empty, (a) label each reference in the list as a hit or a miss and (b) show the entire history of the cache, including tag and data. Byte Address Byte Address (Hexadecimal) (Binary) Hit/Miss 76 0000 0000 0111 0110 1E3 0000 0001 1110 0011 815 0000 1000 0001 0101 141 0000 0001 0100 0001 170 0000 0001 0111 0000 5E1 0000 0101 1110 0001 320 0000 0011 0010 1100 B10 0000 1011 0001 0000 175 0000 0001 0111 0101 583 0000 0101 1000 0011 1FF 0000 0001 1111 1111 7A 0000 0000 0111 1010 2B2 0000 0010 1011 0010 5E4 0000 0101 1110 0100 816 0000 1000 0001 0110 438 0000 0100 0011 1000
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