1. A DC voltmeter is rated at 14 bits of resolution and has a full-scale input range of ±5V. Assuming the meter's ADC is ideal, what is the maximum quantization error that we can expect from the meter? What is the error as a percentage of the meter's full-scale range?
2. Assuming that an RC low pass filter with R = 1kW and C = 10mF is used to filter the output of a DUT containing a noisy DC signal. If we want the output of this filter to settle to within 0.2% of its final value before making a DC measurement, how much settling time does the RC filter require? If the capacitor value changes to 2.2mF, what will the value of the settling time be?
3. A device is tested and found to have a Gaussian distribution with an average output of 10 and a variance of 2 . Using MATLAB, produce a histogram that displays the percentage of data contained in bin sizes of 0.2. Then use MATLAB to calculate the likelihood of the device having an output value between 8.0 and 8.2. Provide the MATLAB code, the graph of the histogram, and calculated value.