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Modulo-11 Weighted Algorithm

VIN Check Digit Calculator

Inspect the exact mathematical computation used by the US Department of Transportation to authenticate the 9th position checksum.

Character count: 17/17

The Mathematics of the Modulo-11 VIN Check Digit

Unlike simple parity bits or CRC algorithms used in data networking, the automotive VIN check digit utilizes a specialized transliteration table coupled with position-dependent weighting. This design guarantees the detection of single-character transcription errors and the transposition of adjacent characters (such as typing "12" instead of "21").

Official Transliteration Key Table

Because computers and clerical staff process alphanumeric characters, the regulation translates each English letter into an equivalent numerical value:

A=1, B=2, C=3
D=4, E=5, F=6
G=7, H=8, J=1
K=2, L=3, M=4
N=5, P=7, R=9
S=2, T=3, U=4
V=5, W=6, X=7
Y=8, Z=9

Why Position Weights Prevent Transposition Errors

If every position had the same weight, switching two adjacent characters (e.g., swapping character 4 and 5) would yield the exact same sum, making transposition undetected. By giving position 4 a weight of 5 and position 5 a weight of 4, swapped digits produce a different sum and a mismatched modulo-11 remainder.

Frequently Asked Questions

The 9th character in a 17-digit VIN is a mathematical checksum regulated by the US Federal Motor Vehicle Safety Standards (49 CFR § 565.15). Its purpose is to verify data entry accuracy and protect against fraud or accidental character transposition.

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