Below is a list of memory address references: 0x03, 0xb3, 0x03, 0x03, 0xbf, 0xcf, 0xbe, 0x0e, 0x05, 0x25, 0x0f, 0x0e 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 (thus lower 4 bits are index and we have 32-bit data). Also list whether each reference is a hit or a miss, assuming the cache is initially empty. Ignore byte offset bits for simplicity. 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 (32*2=64-bit data) and a total size of eight blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. Consider one bit for word offset and ignore byte offset bits for simplicity.

Below is a list of memory address references: 0x03, 0xb3, 0x03, 0x03, 0xbf, 0xcf, 0xbe, 0x0e, 0x05, 0x25, 0x0f, 0x0e 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 (thus lower 4 bits are index and we have 32-bit data). Also list whether each reference is a hit or a miss, assuming the cache is initially empty. Ignore byte offset bits for simplicity. 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 (32*2=64-bit data) and a total size of eight blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. Consider one bit for word offset and ignore byte offset bits for simplicity.

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Description: Below is a list of memory address references:0x03, 0xb3, 0x03, 0x03, 0xbf, 0xcf, 0xbe, 0x0e, 0x05, 0x25, 0x0f, 0x0e For each of these references, identify the binary word address, the tag, and the index given a direct-mapped cache with 16 one-word bl

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter6: System Integration And Performance

Section: Chapter Questions

Problem 22VE

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For a direct-mapped cache design with a 64-bit address, the following bits of the address are used to access the cache. Tag Index Offset 63-9 8-5 4-0 Beginning from power on, the following byte-addressed cache references are recorded. Нех 00 04 10 84 E8 AO 400 1E 8C Cic B4 884 (A) For cach reference, list (i) its teg, index, end offset, (ii) whether it is a hit or a miss, and (iii) which bytes were replaced (if any). (B) what is the hit ratio? (C) List the final state of the cache, with each valid entry represented as a record of . For example,
For a direct-mapped cache design with 64-bit addresses, the following bits of the address are used to access the cache: Tag Index Offset 63-13 12-4 3-0 a. What is the cache block size (in bytes)?b. What is the cache size (in bytes)?c. What is the total number of bits (including valid bit, tag bits and data array bits) to implement this cache?d. For the same block and cache sizes, you want to implement a 4-way set-associative cache, what is the number of index bit and the number of tag bits?
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.
3. The table below represents five lines from a cache that uses fully associative mapping with a block size of 8. Identify the address of the shaded data, 0xE6, first in binary and then in hexadecimal. The tag numbers and word id bits are in binary, but the content of the cache (the data) is in hexadecimal. Word id bits Tag 000 001 010 011 100 101 110 111 ------------------------------------------ 1011010 10 65 BA 0F C4 19 6E C3 1100101 21 76 CB 80 D5 2A 7F B5 0011011 32 87 DC 91 E6 3B F0 A6 1100000 43 98 ED A2 F7 4C E1 97 1111100 54 9A FE B3 08 5D D2 88
3. The series of memory address references given as word addresses are 122, 126, 126, 126, 116, 300, 116, and 118. Assume a direct-mapped cache with eight one-word blocks that is initially empty. Label each reference in the list as a hit or miss and show the contents of the cache with figure after each reference.
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
CO. A certain processor uses a fully associative cache of size 16 kB. The cache block size is 16 bytes. Assume that the main memory is byte addressable and uses a 32-bit address. How many bits are required for the Tag and the Index ticlds respectively in the addresses generated by the processor?
For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. We assume that each word has 4 bytes. How many entries does the cache have? Tag Index Offset Block offset | Byte offset 31–12 11-6 5-2 1-0
1. For a direct-mapped cache design with a 32-bit address, the following bits of address are used to access the cache. Tag Index Offset 31-14 13-7 6-0 a. What is the cache block size (in words)? b. How many entries does this cache have? c. What is the ratio between total bits required for such a cache implementation over the data storage bits?
For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. We assume that each word has 4 bytes. How many words of data are included in one cache line?
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?
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.