If the maximum output voltage of a DAC is V volts and if the resolution is R…

2014

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

  1. A.

    V (2R -1)

  2. B.

    (2R-1).V/(2R-1)

  3. C.

    (2R-1).V

  4. D.

    V(2R-1)

Attempted by 3 students.

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Correct answer: B

The resolution of an R-bit DAC divides the maximum voltage V into 2^R - 1 steps. The weight of the Least Significant Bit (LSB) is V / (2^R - 1). The Most Significant Bit (MSB) has a binary weight of 2^{R-1}. Thus, the MSB weight is 2^{R-1} multiplied by the LSB value: (2^{R-1} * V) / (2^R - 1).

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