2. Suppose we have a 16KB direct-mapped data cache with 64-byte blocks. a) Show how a 32-bit memory address is divided into tag, index and offset. Show clearly how many bits are in each field. b) How many total bits are there in this cache?
Q: Question Consider a 4 way set associative cache made up of 64 bit words. The number of words per…
A: GIVEN:
Q: Suppose we have a memory and a 2-way set-associative cache with the following characteristics.…
A:
Q: Find the total bits required for given data size and calculate overhead in percentage: - How many…
A: Direct mapping is the simplest strategy, and it maps every block of memory space into only one…
Q: The following is a list of 32-bit memory address references, given as word addresses of 8-bit each.…
A: The solution in step 2:
Q: For a direct-mapped cache design with a 32-bit address, the following bits of the address are used…
A: Given: Using the direct-mapped cache design with a 32-bit address. Offset(4-0) : which means…
Q: Consider a direct mapped cache with 4 sets (S), 8 bytes per block (B), with an 8 bit address space.…
A: We are given direct mapped cache with sets, block size and address space. We are going to find out…
Q: b) Consider a computer system with a total memory of 4GB and each memory block contains 4 words. The…
A:
Q: Given that a 4-way set associative cache memory has 64 KB data and each block contains 32 bytes. The…
A: As per our guidelines, only 3 sub parts will be answered. So, please repost the remaining questions…
Q: Question 5 For a fixed memory address and a fixed cache block size, decreasing the associativity by…
A: Defined the given statement as true or false
Q: 1. Consider a computer wth the following characteristics: total of 1Mbyte of main memory; word size…
A:
Q: Consider a 128-word L2 memory and a 16-word direct mapped L1 cache. a. How many bits are in the…
A: a. The total number of bits needed to address an L2 word is = log (128) => 7 bits. b. Assume that…
Q: Consider a 4-way set ansociative cache made up of 64-bit words. The number of words per line is 8…
A: Cache memory is the faster then RAM. Its size is small as compared to RAM.
Q: Consider a 64K L2 memory and a 4K L1 direct mapped cache with block sizes of 512 values. a. How…
A: L1 cache size = 4 KB = 212 B L2 cache size = 64 KB = 216 B block size = 512 B a) no. of blocks in…
Q: Suppose we have a 16KB direct-mapped data cache with 4-byte blocks. Show how a 32-bit memory address…
A: The solution for the above given question is given below:
Q: Consider a direct-mapped cache with 2 sets and 4 bytes per block and a 5-bit address (S=2, B=4) ●…
A: Given, Address length = 5 bits Number of sets = 2 Number of blocks in a direct mapped cache is…
Q: 4. Consider a 64K L2 memory and a 4K L1 4-way associative cache with block sizes of 512. a. How many…
A: Here we calculate the followings terms by using the given information and conclude the answer , so…
Q: Objective: Show the influence of the cache size on the miss rate
A: ANSWER: a) As the question is about impact on miss rates and hit rates when size of cache block…
Q: Consider a direct-mapped cache with 32-bit byte addresses divided into three fields Tag/Index/Offset…
A:
Q: Consider a Direct Mapped cache with 32-bit memory address reference word addressable. Assume a 2…
A: Given: Goal: Find which block of cache does the address 253 maps to.
Q: Consider a 4-way set associative mapped cache. The size of cache memory is 1 MB and there are 12…
A: Set size = 4Cache memory size = 1 MBNo.of.bits in tag = 12 bits No.of.bits in set number = x1…
Q: 3. Given a 32-byte cache (byte-addressable, initially empty) and a sequence of access address (6)10,…
A:
Q: 2. Assume a direct-mapped cache with 4 4-byte blocks. For each reference, list the binary address,…
A: Given: Note that you will need to convert them to binary: 3, 180, 43, 2, 191, 88, 190, 14, 181, 44,…
Q: Please explain this 1,2, and 3 Consider following cache elements Cache can hold 64 kB Data are…
A: GIVEN: Please explain this 1,2, and 3 Consider following cache elements Cache can hold 64 kB Data…
Q: address 32-bits) has 16-KB (only L1-data) direct mapped cache. If the cache line size is 64-Bytes…
A: For direct mapped cache, index bits = log(cache size/ block size) = Log(16KB/64) = 8 bits Block…
Q: 1.Assume your 32-bit computer (memory address 32-bits) has 16-KB (only L1-data) direct mapped cache.…
A: Here block size = 64B Block offset = log(64)= 6 bits Index bits = log (cache size/block size) =…
Q: onsider a direct-mapped cache with 128 blocks. The block size is 32 bytes.…
A: 1 word = 32 bits = 4 bytes Block size = 16 words = 64 bytes a. Number of bits in block offset =…
Q: Consider a computer with a cache memory of 1024 blocks and a total size of 512K bits. This computer…
A: GIVEN:
Q: Question 1 Consider a memory system that uses a 32-bit address at the byte level, plus…
A:
Q: Consider a Direct Mapped cache with 32-bit memory address reference word addressable. Asume a 2 word…
A: Here, I have to choose an option for the above question.
Q: Suppose we have a 8KB direct-mapped data cache with 64-byte blocks. a) Show how a 32-bit memory…
A: A) Cache size = 8 KB Block size = 64 bytes Number of cache lines = Cache size / Block size = (8 x…
Q: Assume the address format for a fully-associative cache is as follows: 6 bis 2 bits Tag Offset Given…
A: According to the information given:- We have to choose the memory reference OxDA results in a cache…
Q: 1. Consider a computer with the following characteristics: total of 1Mbyte of main memory; Content…
A: GIVEN . Consider a computer with the following characteristics: total of 1Mbyte of main memory;…
Q: Consider a Direct Mapped cache with 32-bit memory address reference word addressable. Assume a 2…
A: Given: Goal: Find the cache block number to which memory address 253 maps to.
Q: Consider a 4MB 8-way set-associative cache with 64 byte block size for byte-addressable memory with…
A:
Q: C1. Consider a main memory with size 4GB with cache size 16 KB and memory block is 8 bytes. Assume…
A: We are given main memory size as 4GB and cache as 16KB. Memory block is 8B. Each word is 1 byte . I…
Q: Assume a 64 KiB direct-mapped cache with a 32-byte block. What is the miss rate for the address…
A: Given scenario: Direct-mapped cache 64KiB with 32-byte block. The given address streams are 0, 2,…
Q: Consider a 2-way set associative cache (S,E,B,m) = (8,2,4,13) Excluding the overhead of the tags and…
A: Given, Number of sets = S = 8 Set Size = E = 2 This means there are 2 cache blocks per set. Block…
Q: Determine which bits in a 32-bit address are used for selecting the byte (B), selecting the word…
A: Given:- Determine which bits in a 32-bit address are used for selecting the byte (B), selecting the…
Q: [15] For a direct mapped cache design with 32-bit address, the following bits of the address are…
A: A. a. Block size / cache line = 2 offset bits = 2 4 bytes= 16 bytes…
Q: Consider a main memory with size 512MB with cache size 64KB and memory block is 4 bytes. Assume…
A: We are given main memory as 512 MB with 64KB cache. And block offset is 4 bytes. We are going to…
Q: Consider a computer with the following characteristics: total of IMbyte of main memory, Content of…
A: Given: Main memory size is 1 MB. Word size is 1 Byte. Block size is 16 bytes Cache size is 64 Kbytes…
Q: Question 4 i. Consider an L1 cache with an access time of 1 ns and a hit ratio of Suppose that we…
A: The answer is given in step 2.
Q: 1. Consider a 128-word L2 memory and a 16-word direct mapped L1 cache. (2 points each) a. How many…
A:
Q: 3. Assume a 2-way set associative cache with a 8 2-byte blocks. For each reference, list the binary…
A: Given data, 32 bit memory address Byte addresses: 3 180 43 2 191 88 190 14 180 44 186 253
Q: We are given a list of 64-bit memory address references, given as word addresses. Ox03, Oxb4, Ox2b,…
A: Actually, cache is a fast access memory.
Q: 1. Suppose we have a 64KB direct-mapped data cache with 32-byte blocks. a) Show how a 32-bit memory…
A:
Q: Determine which bits in a 32-bit address are used for selecting the byte (B), selecting the word…
A: In the fully associative cache, there are only tag bits and byte offset bits. No indexing is done in…
Q: Assume a cache of 1 MB organized as 32 bytes each line. The main memory is 256 MB. a. Determine the…
A: Cache is =1MB; and main memory=256MB; and the line size is =32bytes The number of…
Q: For a computer with 56-bit physical addresses and a 8-way set associative cache of 64 KB where each…
A: Memory location: A data block is a collection of one or many congruent (real or virtual) chars…
Q: Consider a 64K L2 memory and a 4K L1 2-way associative cache with block sizes of 512. a. How many…
A: Given, size of L2 = 64K and size of L1 = 4K associativity = 4 - way and , block size = 512
Q: For a direct-mapped cache design with a 32-bit address, the following bits of the address are used…
A:
Q: Problem 1 Consider a direct mapped cache of size 16 KB with block size 256 bytes. The size of main…
A: Step 1 The solution is given in the below step
Q: Given 256 GB of physical memory, a 2-way set associative cache that is 128 KB in size with a block…
A: Ans.1: 16 bytesEach block has 16 bytes. Calculate the number of bits in the TAG, SET, and OFFSET…
Q: Consider a cache with 32KIB data, 16-word blocks, and 24-bit addresses, answer the following…
A: cache size C=32KiB(215 Bytes) block size=16 words(25 Bytes) size of main memory =224 number of lines…
Q: For a direct-mapped cache with 64KIB data, 8-word blocks, and 32-bit addresses, answer the following…
A: a) The number of blocks/lines in the cache. b) The bits in the 32-bit address that are used as…
Q: We are given a list of 64-bit memory address references, given as word addresses. Ox03, Oxb4, Ox2b,…
A: According to the information given:- We have to identify the binary word address on the basic of…
Q: 1. Suppose we have a 32KB direct-mapped data cache with 32-byte blocks. a) Show how a 32-bit memory…
A: Answer
Q: Consider the main memory sıze of 128 kB, Cache sıze of 16 kB, Block size of 256 B with Byte…
A: Main memory size = 128KB = 17 bits Total number of cache block = 16KB/256 = 64 Block size = 256 B.…
Q: Consider a direct-mapped cache with 128 blocks. The block size is 32 bytes.…
A: The index for an direct mapped cache is the number of blocks in the cache 2 to the power 6=128. so…
Q: Consider a 2-block fully associative cache. The following blocks from main memory are accessed which…
A: Given, The cache is a 2-block fully associative cache. Number of blocks in the cache = 2 The blocks…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
- 1. Suppose we have a 32KB direct-mapped data cache with 32-byteblocks.a) Show how a 32-bit memory address is divided into tag, index andoffset. Show clearly how many bits are in each field.b) How many total bits are there in this cache?Given that a 4-way set associative cache memory has 64 KB data and each block contains 32 bytes. The main memory capacity is 4 GB. a. Find the number of bits for the main memory address. ANSWER: bits b. How many blocks are there in a set? ANSWER: blocks c. How many sets the cache has? ANSWER: d. The main memory address format is => | Tag: e. Which set will be mapped by the main memory address 458195h. ANSWER: sets bits | Set: bits | Word: bits | (in decimal)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?
- For a direct-mapped cache design with a 32-bit address, the following bitsof the address are used to access the cache. Use the table below. a. What is the cache block size (in words)?b. How many entries does the cache have?c. What is the ration between total bits required for such a cache implementation overthe data storage bit?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?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?
- 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 88For a direct-mapped cache design with 32-bit addresses and 32-bit words (data and instructions). the following bits of the address are used to access the cache: Tag = [31:17], Index = [16:5], Offset = [4:0]. a.) What is the cache block size in 32-bit words. b.) How many blocks does the cache have? c.) What is the size of the cache in kilobytes?Consider a cache with 32KİB data, 16-word blocks, and 24-bit addresses, answer the following questions: a) For the direct-mapped configuration, determine the number of index bits and tag bits in the 24-bit address. b) For 4-way set associative configuration, determine the number of index bits and tag bits in the 24-bit address. c) For fully associative contiguration, determine the number of index bits and tag bits in the 24-bit address. d) For an 8-way set associative configuration, identify the set number in the cache to which the following 24-bit memory address maps: Ox001Z00 (Hexadecimal notation) where Z is the least significant digit in your student ID (written as a decimal number)
- A CPU has 32-bit memory address and a 256 KB cache memory. The cache is organized as a 4-way set associative cache with cache block size of 16 bytes. a. What is the number of sets in the cache? b. What is the size (in bits) of the tag field per cache block? c. What is the number and size of comparators required for tag matching? d. How many address bits are required to find the byte offset within a cache block? e. What is the total amount of extra memory (in bytes) required for the tag bits?6. For a direct mapped cache comprising 16 single word blocks answer the following questions. Assume address and word sizes are both 32 bits and that the memory is byte addressed (4 bytes per 32-bit word). Enter answers as numbers only. How many index bits are there? How many offset bits are there? How many tag bits are there?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?