Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
Textbook Question
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Chapter 4, Problem 2R

The number of operations executed by algorithms A and B is 8n log n and 2n2, respectively. Determine n0 such that A is better than B for nn0.

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Q.1. Architecture performance [10 marks] Answer A certain microprocessor requires either 2, 4, or 6 machine cycles to perform various operations. ⚫ (40+g+f)% require 2 machine cycles, ⚫ (30-g) % require 4 machine cycles, and ⚫ (30-f)% require 6 machine cycles. (a) What is the average number of machine cycles per instruction for this microprocessor? Answer (b) What is the clock rate (machine cycles per second) required for this microprocessor to be a "1000 MIPS" processor? Answer (c) Suppose that 35% of the instructions require retrieving an operand from memory which needs an extra 8 machine cycles. What is the average number of machine cycles per instruction, including the instructions that fetch operands from memory?
Q.2. Architecture performance [25 marks] Consider two different implementations, M1 and M2, of the same instruction set. M1 has a clock rate of 2 GHz and M2 has a clock rate of 3.3 GHz. There are two classes of instructions with the following CPIs: Class A CPI for M1 CPI for M2 2.f 1.g B 5 3 C 6 4 Note that the dots in 2 fand 1.g indicate decimal points and not multiplication. a) What are the peak MIPS performances for both machines? b) Which implementation is faster, if half the instructions executed in a certain program are from class A, while the rest are divided equally among classes B and C. c) What speedup factor for the execution of class-A instructions would lead to 20% overall speedup? d) What is the maximum possible speedup that can be achieved by only improving the execution of class-A instructions? Explain why. e) What is the clock rate required for microprocessor M1 to be a "1000 MIPS" (not peak MIPS) processor?

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Data Structures and Algorithms in Java

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