Which speed up could be achieved according to Amdahl’s Law for infinite number…

2017

Which speed up could be achieved according to Amdahl’s Law for infinite number of processes if 5% of a program is sequential and the remaining part is ideally parallel ?

Answer: C. 20Amdahl's Law: the speedup with N processors is S(N) = 1 / (f_s + (1 - f_s)/N). Limit for infinite processors: as N → ∞ the parallel term vanishes, so the…

  1. A.

    Infinite

  2. B.

    5

  3. C.

    20

  4. D.

    50

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Correct answer: C

Amdahl's Law: the speedup with N processors is S(N) = 1 / (f_s + (1 - f_s)/N).

Limit for infinite processors: as N → ∞ the parallel term vanishes, so the maximum speedup is S_max = 1 / f_s.

  • Sequential fraction f_s = 5% = 0.05.

  • Maximum speedup S_max = 1 / 0.05 = 20.

Therefore the maximum achievable speedup with an infinite number of processors is 20.

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