1. What is the effect of halving the voltage of a processor on its dynamic power? What about its leakage power? Rewrite the answers if the frequency of the processor goes in half. (20 points) 2. Consider a hypothetical computer system with clock speed 2.5 GHz and average CPI 1.2: (30 points) a) Calculate the execution time for a CPU-bound program that is converted into 1 billion instructions for this system. b) Suppose you have the option to increase the clock speed to 3.0 GHz (Turbo boost mode). Calculate the new execution time for the same program if you choose to run it in Turbo boost mode. 3. A 5 GHz processor takes 10 seconds to execute a CPU-bound program, while consuming 100 W of dynamic power and 50 W of leakage power. Does the program consume less energy in turbo boost mode when the frequency is increased to 6 GHz? Assume that the program's CPI and processor's voltage are unchanged. (20 points) 4. Convert the numbers as expressed in parenthesis: 911 (decimal to binary) 0110 1110 (binary to decimal) 23 1D12 (hexadecimal to decimal) 1100 1010 1111 1110 (binary to hexadecimal) E404 (hexadecimal to binary) Don't forget to explain your method! (30 points)