We are trying to reduce the current time of 15s by 30% but this leads to an increase of 18% in the CPI. For each processor, what clock rate should we have to achieve this time reduction?

Question

Kendall Robertson

Physics

29 October, 12:11

We are trying to reduce the current time of 15s by 30% but this leads to an increase of 18% in the CPI. For each processor, what clock rate should we have to achieve this time reduction?

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Alfredo Curry · Answer 1

For reduction

Execution time = (instructions * CPI) / (Clock rate)

Since CPI is increased by 18%

18/100 + 1 = 1.18

Therefore

P1 CPI = CPI x 1.18

P2 CPI = CPIx 1.18

P3 CPI = CPI x 1.18

Since clockrate reduces by 30% we have it to be a 0.7

P1: (Instructions x P1CPI) / 0.7

P2: (Instructionsx P2CPI) / 0.7

P3: (Instructions x P2CPI) / 0.7