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Part 3: Power and Energy [20 points] 1. 2. [10 pts] Consider a processor that runs at 2 GHz and 1.0 Volt. When running a given CPU- bound program, the processor consumes 110 W, of which 20 W is leakage (leakage is constant with respect to temperature). The program takes 50 seconds to execute. Assume the processor can execute safely at voltages between 0.8 V to 1.2 V. Voltage and frequency follow a linear relationship (i.e., if voltage doubles, frequency doubles as well). Assume the CPU runs at the same temperature no matter what the voltage & frequency. Can you compute the following values: a. The smallest time it takes to execute the program. b. The highest power to execute the program. c. The lowest energy to execute the [10 pts] Consider a processor running at 2 GHz and 1 Volt. It executes a program that finishes in 100 seconds, while consuming IOOW in average. Let's call this the baseline. I'm able to engage DFS to scale up the frequency (and hence dynamic power) of the processor by increasing supply voltage (linear relationship as part 1). But this usually causes the program to consume more processor energy than the baseline. The only way my processor can consume less energy than the baseline is if the program is highly memory-bound where the processor consumes more leakage power and less dynamic power while accessing memory. We consider a program with X% of its running time spending on memory access note that this portion of the execution time is unaffected by frequency scaling on the processor. Also note that the processor's leakage power is constant as in part 1 regardless of frequency and if the program is accessing memory or executing instructions. Let's further assume the dynamic power of running the program is constant throughout the part when the CPU is execution bound. What is the value of X (if any) such that operating at a frequency of 2.5 GHz causes the program to consume less processor energy than the baseline?