Problem
1. Your company's internal studies show that a single core system is sufficient for the demand on your processing power. However, you are exploring whether you could save power by using two cores. Assume that a dual-core machine has 1.5 times the performance of a single-core machine of the same frequency. Performance is proportional to frequency. What should be the frequency ofthe dual-core to keep same performance as the single core machine of frequency f? If the voltage decreases proportionally to the frequency, how much {in percentage] dynamic power would the dual-core system save? lfa dual-core machine has 2 times the performance of a single- core machine of the same frequency, how much (in percentage) dynamic power would the dual- core system save compared to the single-core system?
2. We have a single processor with an FlT of 100. What is the MTTF for this processor? If it takes 1 day to get the processor running again, what is the availability of the processor? Assume processors have exponentially distributed lifetimes. If the whole system fails whenever there is one processor fails, what is the MTTF for a system with 1000 such processors? If the whole system fails whenever there is at least two processor fail, what is the MTTF for a system with 1000 such processors?