If a code is used to detect and correct single-digit errors, which of the following are true statements? I: Its weight should be at least 2.
II: The distance between any two code words should be at least 2.
A) I only
B) II only
C) both I and II
D) neither I nor II

Question

Quizplus · Accepted Answer

For a code to correct single-digit errors, it should be able to identify the position of the error and correct it. This requires at least two non-zero values in the code word, thus giving it a weight of at least 2. Additionally, the distance between any two code words should be at least 2 to ensure that any single error in transmission can be detected and corrected. Therefore, both statements I and II are true for a code that can detect and correct single-digit errors.

If a Code Is Used to Detect and Correct Single-Digit