Question: Assume that we have a function for an application of the form F(i, p), which gives the fraction of time that exactly i processors are

Assume that we have a function for an application of the form F(i, p), which gives the fraction of time that exactly i processors are usable given that a total of p processors are available. This means that Xp i1 F i , p 1 Assume that when i processors are in use, the applications run i times faster.

a. Rewrite Amdahls Law so that it gives the speedup as a function of p for some application. b. An application A runs on single processor for a time T seconds. Different portions of its running time can improve if a larger number of processors is used. Figure 5.40 provides the details. How much speedup will A achieve when on 8 processors?

c. Repeat for 32 processors and an infinite number of processors.

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