Consider a program containing ‘j’ instructions of which ‘k’ instructions are loop instructions. The program is executed on a system that contains cache. Instruction fetch from memory costs ‘l’ nano-second while that for cache costs ‘m’ nano-second. If loop is executed ‘n’ times and every other instruction is executed once only, a) derive an expression for the speedup due to use of cache (ratio of the program execution time without cache to the program execution time with cache). Assume, cache is empty initially and is large enough to hold the loop completely and all th

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider a program containing ‘j’ instructions of which ‘k’ instructions are loop instructions. The program is executed on a system that contains cache. Instruction fetch from memory costs ‘l’ nano-second while that for cache costs ‘m’ nano-second. If loop is executed ‘n’ times and every other instruction is executed once only, a) derive an expression for the speedup due to use of cache (ratio of the program execution time without cache to the program execution time with cache). Assume, cache is empty initially and is large enough to hold the loop completely and all the data required by the program is hard-coded in the program. b) If j = 1500, k = (your registration number), l = 20 nano-seconds , m = 2 nano-seconds, and n = 100 calculate the speedup using your expression derived in ‘a’ part.
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