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If the resolution of a digital-to-analog converter is approximately 0.4% of its full-scale range, then it is a/an _______.
1. 16-bit converter
2. 10-bit converter
3. 8-bit converter
4. 12-bit converter

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Correct Answer - Option 3 : 8-bit converter

Concept of Resolution: 

It is defined as the smallest change in the analog output voltage corresponding to a change of one bit in the digital output.

The percentage resolution (%R) of an n-bit DAC is:

\(\%R = \frac{1}{{{2^n} - 1}} \times 100\)

Calculation:

As we know the formula resolution,

\(\%R = \frac{1}{{{2^n} - 1}} \times 100\)

250 = 2N -1

2N = 251 ≈ 255 

i.e., 28 = 255

N = 8

Hence the minimum value of N satisfying the condition.

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