een a cache that is entirely associative and a cac
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Make a distinction between a cache that is entirely associative and a cache that is directly mapped.
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- 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?What is the role of a cache that is completely associative?Consider the distinction between an entirely associative cache and a directly mapped cache.
- Cache Mapping Technique 1. Suppose a computer usingdirect-mapped cache has 2 bytes of byte=addressable main memory and a cache of32 blocks, where each cache block contains 16 bytes.a) How many blocksof main memory are there?b) What is theformat of a memory address as seen by the cache; that is, what are the sizes ofthe tag, block, and offset fields?c) To which cacheblock will the memory address 0x0DB63 map?2. Suppose a computer using fullyassociative cache has 2 bytes of byte-addressable main memory and a cache of128 blocks, where each cache block contains 64 bytes.a) How many blocksof main memory are there?b) What is theformat of a memory address as seen by the cache; that is, what are the sizes ofthe tag and offset fields?c) To which cacheblock will the memory address 0x01D872 map?3. A 2-way set-associative cacheconsists of four sets. Main memory contains 2K blocks of 8 bytes each and byte addressingis used.a) Show the mainmemory address format that allows us to map addresses from…Think about the distinction that exists between a cache that is completely associative and one that is directly mapped.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?
- By convention, a cache is named according to the amount of data it contains (ie., a 4 KiB cache can hold 4 KiB of data); however, caches also require SRAM to store metadata such as tags and valid bits. For this exercise, you will examine how a cache's configuration affects the total amount of SRAM needed to implement it as well as the performance of the cache. For all parts, assume that the caches are byte addressable, and that addresses and words are 64 bits. 1. Calculate the total number of bits required to implement a 32 KiB cache with two-word blocks. 2. Calculate the total number of bits required to implement a 64 KiB cache with 16-word blocks. How much bigger is this cache than the 32 KiB cache described in Exercise (1) above? (Notice that, by changing the block size, we doubled the amount of data without doubling the total size of the cache.) 3. Explain why this 64 KiB cache, despite its larger data size, might provide slower performance than the first cache. 4. Generate a…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?Imagine the difference that exists between a cache that is completely associative and one that is directly mapped.