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Caches are important to providing a high-performance memory hierarchy to processors. Below is a list of 10-bit memory address references in a Byte addressable system. Assume each word is a 32-bit integer 12, 720, 172, 8, 764, 352, 760, 56, 724, 176, 744, 1012
2.1 For each of these references, identify 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
2.2 For each of these references, identify 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
2.3 You are asked to optimize a cache design for the given references There are three direct-mapped cache designs possible, all with a total of 8 words of data: C1 has 1-word blocks, C2 has 2-word blocks, and C3 has 4-word blocks. In terms of miss rate, which cache design is the best? If the miss stall time is 25 cycles, and C1 has an access time of 2 cycles, C2 takes 3 cycles, and C3 takes 5 cycles, which is the best cache design? There are many different design parameters that are important to a cache's overall mapped cache design
Cache Data Size: 32 KiB
Cache Block Size: 2 words
Cache Access Time: 1 cycle
Below are listed parameters for a direct
2.4 Assume we have a byte-addressable memory. Calculate the total number of bits required for the cache listed above, assuming a 32-bit address. Given that total size, find the total size of the closest direct mapped cache with 16-word blocks of equal size or greater. Explain why the second cache, despite its larger data size, might provide slower performance than the first cache

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