Question

Resolution of an \(n\)-bit ADC is

• A. \(\dfrac{1}{2^n}\)
• B. \(2n\)
• C. \(n^2\)
• D. \(\dfrac{1}{n}\)

Hint:

For an \(n\)-bit ADC, \[ \boxed{ \text{Resolution}=\frac{\text{Full-scale range}}{2^n} } \] or normalized as \[ \boxed{\dfrac{1}{2^n}.} \]

Answer 1

The Correct Option is A

Step 1: Recall the definition of ADC resolution. An \(n\)-bit ADC has \[ 2^n \] quantization levels.

Step 2: Determine the resolution. The normalized resolution is \[ \boxed{ \frac{1}{2^n} } \] (or equivalently \(\dfrac{V_{\text{FS}}}{2^n}\) for a full-scale voltage \(V_{\text{FS}}\)). Hence, \[ \boxed{\frac{1}{2^n}} \] Therefore, \[ \boxed{(A)} \] is the correct answer.