mod11based

Mod11based is a verification algorithm used to detect errors in numerical data. It is a specific implementation of the modulo-11 check digit system. The core principle of mod11based is to assign weights to each digit of a number, perform a weighted sum, and then calculate a check digit based on the remainder of this sum when divided by 11.

The algorithm typically involves assigning increasing weights to the digits of a number, starting from the rightmost digit. These weights are often consecutive integers, but variations exist. The weighted sum is then calculated by multiplying each digit by its corresponding weight and summing these products. The check digit is derived from the remainder of this sum when divided by 11. If the remainder is 10, it is often represented by a specific character, such as 'X', to avoid ambiguity.

Mod11based is employed in various applications, including the validation of identification numbers, financial transactions, and postal codes. Its primary purpose is to ensure data integrity by identifying accidental transcription errors. When a number is entered, the mod11based algorithm is applied to calculate the expected check digit. This calculated check digit is then compared to the provided check digit. If they do not match, it indicates a potential error in the entered data. This simple yet effective method helps maintain the accuracy of important numerical datasets.