Amdahl\'s Law I. [5 points] [2.5 points for correct answer +2.5 points for showi

Question

Amdahl's Law I. [5 points] [2.5 points for correct answer +2.5 points for showing how you got that answer. convincingly and in detail A processor running a certain Program P. spends 32% of the time waiting for main memory to supply instructions and data. Suppose the processor's frequency can be doubled simply by manufacturing it using transistors and wires that are twice as fast as before. Meanwhile, the processor's microarchitecture is not changed and main memory is not changed. That is, the only change is doubling the processor's frequency. What speedup is observed for Program P due to doubling the processor's frequency?

Explanation / Answer

We are considering an enhancement to the processor of a server. The new CPU 2X faster. I/O bound server, so 32% time waiting for I/O.

Speedupoverall =1/((1-Fractrionenhanced )+(Fractrionenhanced /Speedupenhanced ))

=1/((1-0.68)+(0.68/2))

   =1/0.66

=1.51

Overall speedup=1.51

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