A computer system has a main memory consisting of 2M 32-bit words. It also has an 8K-word cache organized in the block-set-associative manner, with 2 blocks per set and 128 words per block. a. Calculate the number of bits in each of the TAG, SET and WORD fields of the main memory address format. b. Assume that the cache is initially empty. Suppose that the processor fetches 2486 words from locations 0, 1, 2,…., 2485, in that order. It then repeats this fetch sequence 10 more times. If the cache is 5 times faster than the main memory, estimate the improvement factor resulting from the use of the cache. Assume that the LRU algorithm is used for block replacement.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A computer system has a main memory consisting of 2M 32-bit words. It also has an 8K-word cache organized in the block-set-associative manner, with 2 blocks per set and 128 words per block.
a. Calculate the number of bits in each of the TAG, SET and WORD fields of the main memory address format.
b. Assume that the cache is initially empty. Suppose that the processor fetches 2486 words from locations 0, 1, 2,…., 2485, in that order. It then repeats this fetch sequence 10 more times. If the cache is 5 times faster than the main memory, estimate the improvement factor resulting from the use of the cache.
Assume that the LRU algorithm is used for block replacement.

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