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Consider a multicore system in which an application has 40% serial component and 60% parallel component. After executing this application on a system with three processing cores, the maximum potential gain achieved is ________. (Calculate value up to two decimal places)
Correct answer is between '1.66,1.67'. Can you explain this answer?
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Consider a multicore system in which an application has 40% serial com...
In parallel computing, Amdahl's law is mainly used to predict the theoretical maximum speed-up for program processing using multiple processors.
If S is the portion of the application that must be performed serially on a system with N processing cores, the formula appears as follows:
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Consider a multicore system in which an application has 40% serial com...
Serial and Parallel Components
- The application has a 40% serial component, which means that 40% of the application's execution time cannot be parallelized and must be executed sequentially.
- The remaining 60% of the application's execution time is parallelizable and can be divided among multiple processing cores.
Potential Gain from Parallel Execution
- In a multicore system, parallel execution can potentially reduce the overall execution time of the application.
- The potential gain from parallel execution can be calculated using Amdahl's Law, which states that the maximum speedup that can be achieved by using multiple processors is limited by the fraction of the program that cannot be parallelized.
- Amdahl's Law can be expressed as:
Speedup = 1 / [(1 - p) + (p/n)]
where p is the fraction of the program that can be parallelized and n is the number of processing cores.
Calculating the Potential Gain
- In this case, the fraction of the program that can be parallelized is 60% or 0.6.
- The number of processing cores is 3.
- Substituting these values into Amdahl's Law, we get:
Speedup = 1 / [(1 - 0.6) + (0.6/3)]
= 1 / [0.4 + 0.2]
= 1 / 0.6
= 1.67 (rounded to two decimal places)
Conclusion
- The maximum potential gain achieved by executing the application on a system with three processing cores is 1.67, as calculated using Amdahl's Law.
- This means that the execution time can be reduced by a factor of 1.67 by parallelizing 60% of the application's execution time across three processing cores.
- As the correct answer is between 1.66 and 1.67, 1.67 is the closest rounded value that falls within this range.
- The application has a 40% serial component, which means that 40% of the application's execution time cannot be parallelized and must be executed sequentially.
- The remaining 60% of the application's execution time is parallelizable and can be divided among multiple processing cores.
Potential Gain from Parallel Execution
- In a multicore system, parallel execution can potentially reduce the overall execution time of the application.
- The potential gain from parallel execution can be calculated using Amdahl's Law, which states that the maximum speedup that can be achieved by using multiple processors is limited by the fraction of the program that cannot be parallelized.
- Amdahl's Law can be expressed as:
Speedup = 1 / [(1 - p) + (p/n)]
where p is the fraction of the program that can be parallelized and n is the number of processing cores.
Calculating the Potential Gain
- In this case, the fraction of the program that can be parallelized is 60% or 0.6.
- The number of processing cores is 3.
- Substituting these values into Amdahl's Law, we get:
Speedup = 1 / [(1 - 0.6) + (0.6/3)]
= 1 / [0.4 + 0.2]
= 1 / 0.6
= 1.67 (rounded to two decimal places)
Conclusion
- The maximum potential gain achieved by executing the application on a system with three processing cores is 1.67, as calculated using Amdahl's Law.
- This means that the execution time can be reduced by a factor of 1.67 by parallelizing 60% of the application's execution time across three processing cores.
- As the correct answer is between 1.66 and 1.67, 1.67 is the closest rounded value that falls within this range.
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Consider a multicore system in which an application has 40% serial component and 60% parallel component. After executing this application on a system with three processing cores, the maximum potential gain achieved is ________. (Calculate value up to two decimal places)Correct answer is between '1.66,1.67'. Can you explain this answer?
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Consider a multicore system in which an application has 40% serial component and 60% parallel component. After executing this application on a system with three processing cores, the maximum potential gain achieved is ________. (Calculate value up to two decimal places)Correct answer is between '1.66,1.67'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider a multicore system in which an application has 40% serial component and 60% parallel component. After executing this application on a system with three processing cores, the maximum potential gain achieved is ________. (Calculate value up to two decimal places)Correct answer is between '1.66,1.67'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a multicore system in which an application has 40% serial component and 60% parallel component. After executing this application on a system with three processing cores, the maximum potential gain achieved is ________. (Calculate value up to two decimal places)Correct answer is between '1.66,1.67'. Can you explain this answer?.
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