Discussion
For a full-scale voltage of \(0 - 3\) V, the resolution of the 4-bit ADC is ______.
Answer: B
The resolution (the size of one step) of an n-bit ADC is the full scale range divided by \(2^n - 1\) steps.
\[ \begin{aligned} \text{Resolution} = \frac{3\ \text{V}}{2^4 - 1} \\ &= \frac{3}{15} = 0.2\ \text{V} = 200\ \text{mV} \end{aligned} \]
Dividing by 16 instead of 15 would give 187.5 mV, which is not offered, so 200 mV is the intended answer. The values 100, 300 and 400 mV would be 3 V divided by 30, 10 and 7.5, which do not correspond to a 4-bit converter. The answer is option B.
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