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A digital to analogue converter has 5.0 V full scale output voltage and an accuracy of ±0.2. The maximum error for any output voltage will be :

  • A.5.0 mV
  • B.10.0 mV
  • C.20.0 mV
  • D.100 mV

Answer: B

The maximum error is 10.0 mV.

A DAC's accuracy is quoted as a percentage of full scale, so ±0.2 means ±0.2% of 5.0 V:

\[ \begin{aligned} \Delta V &= 0.002 \times 5.0\ \text{V} \\ &= 0.010\ \text{V} \\ &= 10\ \text{mV} \end{aligned} \]

Because the error is based on full scale, it is the same 10 mV whatever the output voltage. 5.0 mV and 20.0 mV halve or double it, and 100 mV takes 2% instead of 0.2%.

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