6. (10 points) A cryptographic operation takes 2 seconds to run on a simple embedded processor core. You are considering the design of a coprocessor to accelerate this cryptographic operation in order to improve the energy efficiency of the system. Answer the following questions, using Amdahls Law where appropriate.

1. (a) If 95% of the execution time can be accelerated with a coprocessor, what is the maximum speedup theoretically achievable, assuming no computation overlap between the accelerator and the processor?

2. (b) If you were able to design an accelerator that can execute the aforementioned 95% execution time with a 50x speedup, what would be the maximum achievable speedup of the entire cryptographic operation? What is the new execution time?

3. (c) What is the energy improvement of a cryptographic operation with the coprocessor discussed in the previous question if the power of the system doubles with the addition of the accelerator?

4. (d) Plot the speedup of the overall cryptographic operation as the coprocessor speedup varies from 1x to 50x assuming 95% of the execution time can be executed on the accelerator. In the same figure, plot the speedup assuming 80%, 85%, and 90% of the execution time can be executed on the accelerator. Be sure to properly label the axis of your graph and use a legend to differentiate between the four different lines. You may use any graphing tool of your choice.