7.5 degree stepper motor (four phases), controlled by a computer, is used to position a telescope through a gear train. The telescope must be positioned within 0.01 degree. A front panel has toggle switches that are used to specify how far the telescope is to move (LSB =0.01 degree). The total range of the telescope is 0 degree to 60 degree. a. How many toggle switches would be required ? b. What gear train would you specify? c. Draw a block diagram of the system, showing all parts of the system and specifying the gear ratio.