For a full-scale voltage of 0-5 V, the resolution of 6 bit ADC is nearest to :

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MPPKVVCL Jabalpur JE Electrical 16 August 2018 Official Paper
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  1. 78 mV
  2. 833 mV
  3. 156 mV
  4. 20 mV

Answer (Detailed Solution Below)

Option 1 : 78 mV
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Detailed Solution

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The correct answer is option 1): 78 mV

Concept:

  • Analog-to-Digital Converters (ADCs) transform an analog voltage to a binary number (a series of 1’s and 0’s).
  • Then eventually a digital number (base 10) for reading on a meter, monitor, or chart.
  • The ADC resolution depends upon the number of bits used to represent the digit number
  • As the number of bits increases the resolution of an Analog to Digital Converter improves and the quantization error decreases.
  • The resolution of DAC is a change in analog voltage corresponding to the LSB bit increment at the input. The resolution (R) is calculated as:

\(R= \frac{{{V_{FS}}}}{{{2^N} - 1}}\)

where

N is the number of bits

VFs is the full scale deflection 

Calculation:

Given

VFS = 5 V

N = 6

R = \(5 \over 2 ^6 -1\)

= 78 mV

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