A 32-bit computer has a memory of 256 KB and a cache line size of 64 bytes. The memory cache access time is 5ns. This cache is 4-way associative and use LRU as a replacement algorithm. a) What is the number of lines and sets of this memory cache? b) What is the block size transferred between the cache memory and the main memory? c) If the time to transfer a line to cache memory is 200 ns, what is the hit ratio needed to obtain an average access time of 20 ns?
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A 32-bit computer has a memory of 256 KB and a cache line size of 64 bytes. The memory cache access time is 5ns. This cache is 4-way associative and use LRU as a replacement
a) What is the number of lines and sets of this memory cache?
b) What is the block size transferred between the cache memory and the main memory?
c) If the time to transfer a line to cache memory is 200 ns, what is the hit ratio needed to obtain an average access time of 20 ns?
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- A computer of 32 bits has a cache memory of 64 KB with a cache line size of 64 bytes. The cache access time is 20 ns, and the miss penalty is 120 ns. The cache is 2-way associative. a) What is the number of cache lines? b) What is the number of cache sets? c) What is the number of lines per set? d) Draw a scheme of this cache. e) Calculate the time to read a word in case of miss.5. suppose a computer using fully associative cache has 224 bytes of byte-addressable main memory and a cache of 128 blocks, where each cache block contains 64 bytes. a) how many blocks of main memory are there? b) what is the format of a memory address as seen by the cache ; that is, what are the size of the tag and offset field. c) To which cache block will the memory address 0x01D872 map?Suppose a computer using direct mapped cache has 232 byte of byte-addressable main memory, and a cache of 1024 blocks, where each cache block contains 32 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag, block, and offset fields? c) To which cache block will the memory address 0x000063FA map?
- Suppose a computer using fully associative cache has 4G bytes of byte-addressable main memory and a cache of 512 blocks, where each cache block contains 128 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0x018072 map?Computer Science Consider a direct-mapped cache with 8 lines, each holding 16 bytes of data. The cache is byte-addressable and the main memory consists of 64 KB, which is also byte-addressable. Assume that a program reads 16KB of memory sequentially. Answer the following questions:a) How many bits are required for the tag, index, and offset fields of a cache address?b) What is the cache size in bytes?c) What is the block size in bytes?d) What is the total number of blocks in main memory?e) How many cache hits and misses will occur for the program, assuming that the cache is initially empty?f) What is the hit ratio?g) Give an example virtual address (in BINARY) that will be placed in cache line 5.Suppose a computer using fully associative cache has 4 GB of byte-addressable main memory and a cache of 256 blocks, where each 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 the cache, i.e., what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0X1A1B1C1D map?
- A digital computer has a memory unit of 64K X 16 and a cache memory of 1K words. The cache uses direct mapping with a block size of four words.i) How many bits are there in the tag, index, block and word fields of the address format?ii) How many bits are there in each word of cache, and how are they divided into functions? Include a valid bit.iii) How many blocks can the cache accommodate?1. Suppose a computer has 2³2 bytes of byte-addressable main memory and a cache size of 2¹5 bytes, and each cache block contains 64 bytes. a) How many blocks of main memory are there? (_ b) How many blocks of cache memory are there? (_ c) If this cache is direct-mapped, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of block field and the size of the offset field_ d) If this cache is fully associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ and the size of the offset field e) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of set field and the size of the offset fieldb. Cache memory systems are designed such that the computer first checks the L1 cache for the desired memory. If the data is there, it accesses it and is done. It only checks the L2 cache if the data is not found in the L1 cache. Likewise, the computer checks the L3 cache if the desired data is not found in the L2 cache, and finally it on only checks main memory if the data is not found in the L3 cache. Imagine a computer system with the following cache access times: L1 cache: 3 processor cycles L2 cache: 10 processor cycles L3 cache: 25 processor cycles Main memory: 100 processor cycles So, in the best case, the desired data-would be immediately found in the L1 cache, which requires only 3 cycles to check. Conversely, in the worst case, the desired data would only be in main memory, which would require 138 cycles to access (3 cycles to check L1 cache + 10 cycles to check L2 + 25 cycles to check L3 + 100 cycles to access main memory). What is important, however, is the average amount…
- Q: A digital computer has a memory unit of 64k * 16 and a cache memory of 1k words. The cache uses direct mapping with a block size of 4 words. i) How many bits are there in the tag, index, block & words fields of the address formats.ii) How many bits are there in each word of cache? iii) How many blocks can the cache accommodate? Note: this question is related from computer architecture subject kindly solved this correctly and completly.Q: A digital computer has a memory unit of 64k * 16 and a cache memory of 1k words. The cache uses direct mapping with a block size of 4 words. i) How many bits are there in the tag, index, block & words fields of the address formats. ii) How many bits are there in each word of cache? iii) How many blocks can the cache accommodate?Suppose a computer using fully associative cache has 4 Gbytes of byte-addressable main memory and a cache of 256 blocks, where each cache block contains 32 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address? Provide the names and the sizes of the fields. c) To which cache block will the memory address 0x01752 map?