Consider a 2-way set associative cache with 32-bit address. The block offset takes 5 bits, the index takes 5 bits. Starting from power on, the following byte-addressed cache references are recorded. Address 4. 16 132 232 160 1024 30 140 3100 180 2180 1. What is the cache capacity? (number of bytes) 2.What is the status for each access? (hit, miss and replacement). 3.What is the hit ratio?

Consider a 2-way set associative cache with 32-bit address. The block offset takes 5 bits, the index takes 5 bits. Starting from power on, the following byte-addressed cache references are recorded. Address 4. 16 132 232 160 1024 30 140 3100 180 2180 1. What is the cache capacity? (number of bytes) 2.What is the status for each access? (hit, miss and replacement). 3.What is the hit ratio?

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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How would you compute the number of tag bits in a direct mapped cache with byte addressable memory if the block size is 1 KB, the main memory capacity is 32 GB, and the cache size is 32 KB? What if the cache is a four-way set associative cache with identical memory sizes?
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Consider a direct-mapped cache memory with 12-bit addresses. The cache is byte-addressable. We have B = 16 bytes per block and S = 8 sets. For the address shown below. Indicate which bits correspond to the cache set index, tag bits, and block offset. Bit 11 Bit 10 Bit 9 Bit 8 Bit 7 Bit 6 Bit 5 Bit 4 Bit 3 Bit 2 Bit 1 Bit 0
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The following table gives the parameters for a number of different caches. For each cache, determine the number of cache sets (S), tag bits (t), set index bits (s), and block offset bits (b). Drag the appropriate labels to their respective targets. Note: not all labels will be used. Reset Help 1 0 2 3 4 5 6 7 8 9 10 15 11 12 13 20 21 22 24 27 28 29 30 31 32 38 48 128 218 256 Cache BE 1. 4 1 2. 8 4 3. 32 32 m C 32 1,024 32 1,024 32 1,024 S 1000 t 음 b 1000 1000 14 220
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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