Q2. P1, P2, and P3 are three processors executing the same instruction set. P1 has a 3 GHz clock rate and a Cycle per Instruction (CPI) of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. Based on these values, Answer the following questions (show all calculations and the formulas you are using): 1. Which processor has the highest performance in terms of instructions per second? 2. If the processors individually require 10 seconds to execute a program find the number of cycles and the number of instructions for each processor. 3. We aim to reduce the execution time by 30% (i.e., in 7 seconds) but thi leads to an increase of 20% in the CPI. What clock rates should the processors have to achieve this time reduction?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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Q2. P1, P2, and P3 are three processors executing the same instruction set. P1
has a 3 GHz clock rate and a Cycle per Instruction (CPI) of 1.5. P2 has a 2.5 GHz
clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. Based
on these values, Answer the following questions (show all calculations and the
formulas you are using):
1. Which processor has the highest performance in terms of instructions
per second?
2.
If the processors individually require 10 seconds to execute a program,
find the number of cycles and the number of instructions for each
processor.
3. We aim to reduce the execution time by 30% (i.e., in 7 seconds) but this
leads to an increase of 20% in the CPI. What clock rates should the
processors have to achieve this time reduction?
Transcribed Image Text:Q2. P1, P2, and P3 are three processors executing the same instruction set. P1 has a 3 GHz clock rate and a Cycle per Instruction (CPI) of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. Based on these values, Answer the following questions (show all calculations and the formulas you are using): 1. Which processor has the highest performance in terms of instructions per second? 2. If the processors individually require 10 seconds to execute a program, find the number of cycles and the number of instructions for each processor. 3. We aim to reduce the execution time by 30% (i.e., in 7 seconds) but this leads to an increase of 20% in the CPI. What clock rates should the processors have to achieve this time reduction?
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