ISRO Computer Science (CSE) 2014 - Question 46

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If the maximum output voltage of a DAC is V volts and if the resolution is R bits then the weight of the most significant bit is

  • A. $\frac{V}{2^R - 1}$
  • B. $\frac{V(2^{R-1})}{2^R - 1}$
  • C. $(2^{R-1}) \cdot V$
  • D. $\frac{V}{(2^R - 1)}$

Answer: B. $\frac{V(2^{R-1})}{2^R - 1}$

Explanation: Step size $k = V / (2^R - 1)$.\nMSB weight = $2^{R-1} \times k = V \cdot 2^{R-1} / (2^R - 1)$.

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