Consider the situation where a microprocessor gives an output of an 8-bit word. This is fed through an 8-bit digital-to-analog converter to a control valve. The control valve requires 6.0 V to be fully open. If the fully open state is indicated by 11111111, then what is the output to the valve for a change of 1 bit ?  

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  1. 0.033 V
  2. 0.053 V
  3. 0.043 V
  4. 0.023 V

Answer (Detailed Solution Below)

Option 4 : 0.023 V
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Concept:

The resolution is defined as the smallest voltage change that can be measured by the DAC.

The reference voltage is the maximum value that the ADC can convert.

For an n-bit DAC, the resolution is expressed as 

Calculation:

Reference voltage (Vref) = 6 V

number of bits = 8

The resolution is = 6/28 = 0.0234 V

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