ISRO Electronics & Communication (ECE) 2016 - Question 6

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Topic: Digital Electronics

A 10-bit DAC has a step size of 10 mV. What is its Full scale output voltage and the percentage resolution?

  • A. 10.24 V, 0.2%
  • B. 10.23 V, 0.5%
  • C. 10.23 V, 0.1%
  • D. 10.24 V, 0.1%

Answer: C. 10.23 V, 0.1%

Explanation: Full Scale Voltage $V_{FS} = (2^{n}-1) \times \text{Step size} = (2^{10}-1) \times 10~\text{mV} = (1024-1) \times 0.01~\text{V} = 10.23~\text{V}$.
Percentage Resolution $= \frac{\text{Step Size}}{V_{FS}} \times 100 = \frac{10~\text{mV}}{10.23~\text{V}} \times 100 = 0.0977\% \simeq 0.1\%$.

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