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Question: P1, P2, and P3 are three processors executing the same instruction set. P1 has a 3 GHz clock rate and a Cycles per Instruction (CPI) of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. Now answer the following questions (show all calculations and the formulas you are using):
a) Which processor has the highest performance in terms of instructions per second?
b) If the processors individually require 10 seconds to execute a program, find the number of cycles and the number of instructions for each processor.
c) We aim to reduce the execution time by 30% (i.e., in 7 seconds) but this leads to an increase of 20% in the CPI. What clock rates should the processors have to achieve this time reduction?
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