Exercise 1.3 Consider three different processors P1, P2, and P3 executing the same instruction set with the clock rates and CPIs giv en in the following table.

Processor Clock rate CPI P1 2 GHz 1.5 P2 1.5 GHz 1.0 P3 3 GHz 2.5 1.3.1 [5] <1.4> Which processor has the highest performance?

1.3.2 [5] <1.4> If the processors each execute a program in 10 seconds, fi nd the number of cycles and the number of instructions.

1.3.3 [10] <1.4> We are trying to reduce the time by 30% but this leads to an increase of 20% in the CPI. What clock rate should we have to get this time reduction?

For problems below, use the information in the following table.

Processor Clock rate No. instructions Time P1 2 GHz 20 × 109 7 s P2 1.5 GHz 30 × 109 10 s P3 3 GHz 90 × 109 9 s 1.3.4 [10] <1.4> Find the IPC (instructions per cycle) for each processor.

1.3.5 [5] <1.4> Find the clock rate for P2 that reduces its execution time to that of P1.

1.3.6 [5] <1.4> Find the number of instructions for P2 that reduces its execution time to that of P3.