If a certain motor speed sensor outputs a square pulse train with a frequency that varies from 0.5 Hz to 500 Hz as the motor speed varies from 10 rpm to 2000 rpm. If this output is to be counted and digitized, calculate the minimum sampling interval (time period for counting the pulse train) to achieve a speed resolution of 5 rpm, and the number of bits that must be there in the binary counter if the pulse train is to be sampled with this interval for all the speeds?