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(Solved) Consider three different processors P1, P2, and P3 executing the same instruction set. P1 has a 4GHz clock rate and a CPI of 2. P2 has a 2.5GHz clock...


Consider three different processors P1, P2, and P3 executing the same instruction set. P1 has a 4GHz clock rate and a CPI of 2. P2 has a 2.5GHz clock rate and a CPI of 1.0, P3 has a 3GHz and a CPI of 1.2.

Which processor has the highest performance expressed in instructions per second?

If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions.

We are trying to reduce the execution time by 20% but this leads to an increase of 15% in the CPI. What clock rate should we have to get this time reduction?

Solution:

P1:  4 GHz, CPI = 2.0 → 4GHz/ 2.0 = 2 x 109 instructions/sec

P2:  2.5 GHz, CPI = 1.0 → 2.5GHZ/1.0 = 2.5 x 109 instructions/sec

P3:  3 GHz, CPI = 1.2 → 3GHz/1.2 = 2.5 x 109 instructions/sec

P2 has the highest performance at 2.5 GHz, CPI = 1.0 → 2.5GHZ/1.0 = 2.5 x 109 instructions/sec.

            P1:     40 x 109 cycles

                      20 x 109 instructions

            P2:     25 x 109 cycles

                      20 x 109 instructions

            P3:     30 x 109 cycles

                      25 x 109 instructions

Execution time is reduced by 20% à t=? s

            CPI is increased by 15%

 


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