[15] For a direct mapped cache design with 32-bit address, the followingbits of the address are used to access the cacheTag31-10IndexOffset9-43-0A. Assuming a direct mapped cachea. What is the cache block size?b. What is the cache size?c. How many entries/sets/rows does the cache have?d. Starting from power on, the following byte addressed cachereferences are recorded:4,16, 5,4,6, 12Compute the hit ratio for this sequence of addresses.B. Answer above questions assuming the cache to be a 4-way setassociative cache.

A. a. Block size / cache line = 2 offset bits = 2 4 bytes= 16 bytes…

Answered: [15] For a direct mapped cache design…

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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Answer part d only
QUESTION 2 Suppose a computer using direct mapped cache is using 216 (64K) bytes of byte-addressable main memory, and a cache size of 4096 bytes, where each cache block contains 256 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by cache, i.e. what are the length of the tag, block, and offset fields? c) Given memory address 2B9D (in hexadecimal format), which block in the cache will be searched? (What is that block's id?)
P2
We are given a list of 64-bit memory address references, given as word addresses. Ox03, Oxb4, Ox2b, 0x02, Oxbf, Ox58, Oxbe, OxOe, Oxb5, Ox2c, Oxba, Oxfd (A) For each of these references, identify the binary word address, the tag, and the index given a direct-mapped cache with 16 one-word blocks. Also list whether each reference is a hit or a miss, assuming the cache is initially empty. (B) For each of these references, identify the binary word address, the tag, the index, and the offset given a direct-mapped cache with two- word blocks and a total size of eight blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. (C) You are asked to optimize a cache design for the given references (i.e. addresses). There are three direct-mapped cache designs possible, all with a total of eight words of data: (i) Cache1 has 1-word blocks, (ii) Cache2 has 2-word blocks, and (iii) Cache3 has 4-word blocks.
.2: Below is a list of 32-bit memory address references, given as word addresses. 3, 180, 43, 2, 191, 88, 253 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. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 2-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. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 4-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.
Question 23 Some portion of cache system A represented below. The system is byte-addressable and the block size is one word (4 bytes). The tag and line number are represented with a binary numbers. The contents of words in the block are represented with hexadecimal. Tag 10 1000 0100 1001 10 1000 0100 1001 10 1000 0100 1001 10 1000 0100 1101 Line Number 0110 1101 0110 1110 0110 1111 B1 FF B8 A1 FF B8 B1 FF B8 A1 FF B8 B1 FF B8 0111 0000 1. What is the size of the main memory of this system? 2. What is the size of the cache memory of this system? 00 Word within block 2016 6116 C116 2116 01 10 11 3216 7216 C216 D216 4216 8216 4116 A216 E216 9216 5216 B216 3. If the CPU requests to read memory address A1 25 BA, what data does the CPU receive? 4. If the CPU requests to read memory address A1 35 C2, what data does the CPU receive? 5. If we access memory in the following order in cache system A: A1 FF B8 how many cache misses would occur for the data request?
Cache Mapping a. A computer system has a main memory with 128 blocks and a cache with 32 blocks. If it uses direct mapping, how many main memory blocks can be mapped to a single cache block? b. In a set-associative cache with 64 blocks and divided into 4 sets, determine the associativity of each set. c. For a fully associative cache with 256 blocks, how many sets are there?
Assume that you have a direct-mapped cache with 16 indices and each block can contain 32 words. Assuming that each bytes address is 32 bits long (and a word is 32 bits), answer the following questions: a). How many bits in each address are used for its tag? bits b). Compute the total number of bits required to implement this cache, including valid bits, tag bits and bits used for data. bits
Consider a 2-block fully associative cache. The following blocks from main memory are accessed which need to be mapped to cache: P, Q, P, R. Which block is replaced from the cache when the last block (block R) is accessed? Assume FIFO replacement policy.
This chapter explains how to implement the four cache replacement policies.
7. Show the final data and tags of the direct-mapped cache shown below for the given memory contents and data access sequence. As shown, you have 8-bit addresses and 4 bytes of data in each block. You can assume write-through and write-allocate write strategies on write hits and misses respectively. Data Access Sequence Address Data 00 01 11 00 00 10 10 00 00 10 01 00 00 01 00 00 00 11 01 00 00 10 10 00 00 01 11 00 00 10 01 00 00 10 00 00 00 10 10 00 Op. lw lw SW lw SW lw lw SW lw lw hits = misses = 32 642 124 I 00 01 10 11 Direct-Mapped Cache V Tag Data hit rate = miss rate = Memory Address 00 00 10 00 00 00 11 00 00 01 00 00 00 01 01 00 00 01 10 00 00 01 11 00 00 10 00 00 00 10 01 00 00 10 10 00 00 10 11 00 00 11 00 00 00 11 01 00 Data 435 9 47 13 7586 86 43 48 673 4 972 1003

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