4. Now the output of sensor needs to be digitized using an 8-bit single-slope Analog-to-Digital converter

with a f_s of 2048 samples per sec and an analogue range of -1 V to 11 V. The ADC is a part of a PIC

microcontroller with 2K RAM available. [3x10=30]

1. What is the step size (or v_ref or resolution) for this ADC? How many levels (or steps) do we have here?
2. What will happen to memory requirements if we double the number of steps?
3. What will happen to memory requirements if we double the sampling frequency?
4. Is it true that an ADC is basically an integrator or a summer? If yes, then what will happen if there is no input applied? Wont it sum up the noise - making the sum approach infinity?
5. If a sine wave of 5KHz is sampled, then what will be the frequency of discrete-time signal?
6. Since 0 Volts is part of the allowed analogue signal range, how can you tell if it is a zero-volt signal or just no signal?
7. If we detect a frequency of 1Hz after sampling a sine wave, what are possible frequencies of original analogue signal?
8. Under what conditions, the calibration of an ADC could be affected?
9. What is the analogue signal if digitized value is: i.) 0 ii.) 255
10. Assume the input analog signal is 6 V. Convert it to digital signal. What is the sampled/digitized value? Now convert it back to analogue voltage. What is the error?