For a direct-mapped cache, a main memory address is viewed as consisting of three fields. List and define the three fields.
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- 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.A direct-mapped cache consists of 16 blocks. A byte-addressable main memory contains 4K blocks of 16 bytes each. Access time for the cache is 30 ns and the time required to fill a cache slot from main memory is 250 ns. Assume a request is always started in sequential to cache and then to main memory. If a block is missing from cache, the entire block is brought into the cache and the access is restarted. Initially, the cache is empty. a) Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. b) Compute the hit ratio for a program that loops 4 times from locations 0 to 42 (base 10) in memory. c) Compute the effective access time for this program.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 difference between a cache that is entirely associative and a cache that is directly mapped?A direct-mapped cache consists of eight blocks. A byte-addressable main memory contains 4K blocks of eight bytes each. Access time for the cache is 20 ns and the time required to fill a cache slot from main memory is 200 ns. Assume a request is always started in sequential to cache and then to main memory. If a block is missing from cache, the entire block is brought into the cache and the access is restarted. Initially, the cache is empty. Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. Compute the hit ratio for a program that loops 3 times from locations 0 to 65 (base 10) in memory. Compute the effective access time for this program.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?
- Make a distinction between a cache that is entirely associative and a cache that is directly mapped.Here is the question: A direct-mapped cache consists of 8 blocks. A byte-addressable main memory contains 4K blocks of eight bytes each. Access time for the cache is 20 ns and the time required to fill a cache slot from main memory is 300 ns. Assume a request is always started in sequential to cache and then to main memory. If a block is missing from cache, the entire block is brought into the cache and the access is restarted. Initially, the cache is empty. b) Compute the hit ratio for a program that loops 3 times from address 0 to 75 (base 10) in memory. For b, another example has been provided in regards to a previous problem: A direct-mapped cache consists of eight blocks. Main memory contains 4K blocks of eight words each. Access time for the cache is 22 ns and the time required to fill a cache slot from main memory is 300ns (this time will allow us to determine the block is missing and bring it into cache). Assume a request is always started in parallel to both cache and to…Suppose a computer using fully associative cache has 220 words of main memory and a cache of 128 blocks, where each cache block contains 16 words. (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 sizes of the tag and word fields? (c) To which cache block will the memory reference 01D872_{16} map?
- 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?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…2-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. a. 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 4 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. 42, 180, 46, 185, 189, 3, 181, 43, 6, 189, 65, 190 b. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with four-word blocks and a total size of 4 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. c. For each of these references, identify the binary address, the tag, and the index given a two way associative cache with two-word blocks and a total size of 4 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty d. For each of these…
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