Amdahl's Law and Little's Law Quiz

What does Amdahl's Law describe?

• The maximum number of processors a system can handle

• The relationship between parallelization and speedup in a system

• The total execution time of a single processor

• The memory hierarchy of a system

According to Amdahl's Law, what happens when the parallelizable portion of a program (f) is small?

• The speedup is significant

• The use of parallel processors has little effect

• The program crashes

• The speedup is inversely proportional to f

As the number of processors (N) approaches infinity, what limits the maximum speedup of a program?

• The parallelizable fraction (f) of the program

• The number of threads available

• The sequential portion of the program

• The clock rate

Amdahl's Law can be generalized to evaluate any improvement in which of the following aspects of a system?

• Design or technology

• Processor count

• Cache size

• Memory speed

What is the formula for speedup based on Amdahl's Law when using N processors?

• Speedup = 1 / (1 - f)

• Speedup = T / N

• Speedup = 1 / ((1 - f) + (f / N))

• Speedup = (1 - f) / f

In Amdahl's Law, what does the variable 'f' represent?

• The fraction of execution time that is sequential

• The fraction of execution time that is parallelizable

• The number of processors

• The total execution time

According to Amdahl's Law, what happens when N (the number of processors) is very large, approaching infinity?

• The speedup is bounded by 1/(1 - f)

• The speedup continues to increase indefinitely

• The sequential portion becomes parallelizable

• The program execution becomes slower

What is the primary challenge for multicore machines in relation to Amdahl's Law?

• Increasing cache size

• Adapting software for highly parallel environments

• Improving clock speed

• Reducing the number of cores

In the context of Amdahl's Law, what happens if a feature of the system is sped up but only affects a fraction of the execution time?

• The overall speedup is always proportional to the improvement

• The overall speedup is limited by how often that feature is used

• The overall speedup is infinite

• The execution time becomes zero

What limitation does Amdahl's Law reveal when adding more processors to a system?

• The system speedup continues indefinitely

• Speedup is only effective for purely sequential programs

• Diminishing returns occur as the number of processors increases

• The system slows down as more processors are added