A DC LVDT measures position with range of ±10 cm. The output voltage produced by LVDT is connected to a 10-bits-ADC measures voltage coming from a sensor with input range of ±5 V. According to calibration report, the LVDT produces voltage of 4.00 volts when armature position is x=+10 cm. Assume that the voltage is perfectly linear to the armature position. a. [5 points] Calculate position resolution of the measurement system. b. Calculate voltage resolution of the measurement system. c. [5 points] Calculate the binary number produced by the ADC when armature position is x=+1 cm. Write down your manual calculation.