Question

If the lowest Digital Number (DN) value in an image of 10-bit radiometric resolution is 0, then the maximum DN value of that image is ________

Hint:

In an image with \(n\)-bit radiometric resolution, the maximum DN value is \(2^n - 1\).

Answer 1

Step 1: Understanding the 10-bit radiometric resolution. 
In a 10-bit image, the number of possible Digital Numbers (DNs) ranges from 0 to \(2^{10} - 1\). This is because a 10-bit resolution allows for 1024 distinct values, which range from 0 to 1023. 
Step 2: Determining the maximum DN value. 
The maximum DN value is equal to \(2^{10} - 1\), which is: \[ 2^{10} - 1 = 1024 - 1 = 1023 \] Therefore, the maximum DN value of the image is \(1023\).