Answered: You are asked to perform capacity…

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

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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You are asked to perform capacity planning for a two-level memory system. The first level, M1 is a cache with three capacity choices of 64Kbytes, 128Kbytes, and 256Kbytes. The second level, M2, is a main memory with a 4Mbyte capacity. Let c1 and c2 be the costs per byte and t1 and t2 be the access times for M1 and M2, respectively. Assume c1 = 20 * c2 and t2 = 10 * t1. The cache hit ratios for the 3 capacities are assumed to be 0.7, 0.9 and 0.95, respectively.

What is the average memory access time, AMAT, if t1 = 20ns in the three cache designs? (Note that t1 is the time from M1 to CPU and t2 is that from M2 to CPU. This means that t2 includes t1).

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