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A 6-bit DAC has a step size of 50 mV. The full-scale output voltage and percentage resolution for this will be:


21. A 6-bit DAC has a step size of 50 mV. The full-scale output voltage and percentage resolution for this will be:

  • A. 5 V, 1.587%
  • B. 3.15 V, 98.413%
  • C. 5 V, 33.33%
  • D. 3.15 V, 1.587%
Answer: Option D

Solution:

Given:

  • Number of bits, n = 6
  • Step size = 50 mV = 0.05 V

For a DAC:

Step Size = VFS / (2n - 1)

Substituting the values:

0.05 = VFS / (26 - 1)

0.05 = VFS / 63

VFS = 0.05 × 63

VFS = 3.15 V

Percentage Resolution:

% Resolution = [1 / (2n - 1)] × 100

= (1 / 63) × 100

= 1.587%

Correct Answer: D. 3.15 V, 1.587%

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