What is the Verhoeff algorithm?

The Verhoeff algorithm is a sophisticated checksum formula that detects all single-digit errors and most transposition errors in decimal number sequences. Developed by Dutch mathematician Jacobus Verhoeff in 1969, it uses dihedral group theory and multiplication tables to provide superior error detection compared to simpler methods like the Luhn algorithm. The algorithm appends a single check digit to a number, making it possible to verify the integrity of identification numbers, serial codes, and other numeric sequences where accuracy is critical.

Tool description

This tool validates numbers that use the Verhoeff checksum algorithm. Simply paste or type a number with its Verhoeff check digit, and the tool instantly verifies whether the number is valid. The validation happens in real-time, providing immediate feedback on the integrity of your numeric codes.

Features

  • Real-time validation of Verhoeff checksums
  • Instant feedback on number validity
  • Simple, single-input interface
  • No data storage or transmission
  • Works with any length numeric sequences

Use cases

  • Validating customer identification numbers in database systems
  • Verifying serial numbers on products or equipment
  • Checking inventory tracking codes before data entry
  • Validating pharmaceutical product identifiers
  • Confirming accuracy of manually entered numeric codes