Question

A sensor with 10-bit radiometric resolution can record how many gray levels?

• A. 256
• B. 512
• C. 1024
• D. 2048

Hint:

Important values: \[ \boxed{ \begin{aligned} 8\text{-bit} &=256 10\text{-bit} &=1024 12\text{-bit} &=4096 16\text{-bit} &=65536 \end{aligned} } \]

Answer 1

The Correct Option is C

Concept: Radiometric resolution is the ability of a sensor to distinguish small differences in energy (brightness). For an \(n\)-bit sensor, the number of gray levels is given by \[ \boxed{\text{Gray Levels}=2^n} \] where \(n\) is the number of bits.

Step 1: Substitute the given bit resolution. Given, \[ n=10 \] Therefore, \[ \text{Gray Levels}=2^{10} \]

Step 2: Calculate the value. \[ 2^{10}=1024 \] Hence, \[ \boxed{\text{A 10-bit sensor can record }1024\text{ gray levels}.} \] Therefore, the correct option is \[ \boxed{(C).} \]