(c) A 12-bit analog to digital converter can convert voltages in the range from 0 to 25 V to digital values. (i) Determine the smallest voltage step that the ADC can resolve. (10 marks) (ii) Calculate the quantization error of the ADC. (10 marks) (iii) Calculate the rms value of the quantization error. (10 marks)
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Smallest voltage step that the ADC can resolve: The 12-bit ADC can represent 2^12 = 4096 different digital values. The voltage range is from 0 to 25 V. Therefore, the smallest voltage step that the ADC can resolve is: 25 V / 4096 = 0.0061 V or 6.1 mV Show more…
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