Assume a 100 2 chip working at 1 GHz and = 1, with an average activity factor of = 0.1. It uses a standard cell process with an average switching capacitance of 500 /2. 

a) (5 points) Estimate the dynamic switching power of this chip. 

b) (5 points) If the total sub-threshold current is 100 mA, estimate the power density of the chip. 

c) (10 points) If you would like to scale down to save power and reduce to maintain performance, use equation to explain how the dynamic power and static power will change, respectively (go up or down and why)