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Check Digit Calculator
Transport

Custom Serial Number Calculator

Explore serial-number checksum rules using character values, weight patterns and a modulus. Follow the configured check position.

Last updated:

Transport, Shipping & Travel

Apply configured serial checksum rules.

Length: 10 chars
Calculated Check Character / Checksum
--Ready
Complete Validated Sequence:
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Arithmetic Steps & Mathematical Specification

Initialising algorithm engine for Custom Serial Number Calculator...

How Custom Serial Number Calculator Works?

The Custom Serial Number Calculator applies your check-digit rules to a product serial number. The rules set the character set, weights, modulus and output position. They can use letters, digits or both, with the check character inside the serial or at its end.

  1. 1Define the character set and the value of each character.
  2. 2Define the weight pattern and the direction.
  3. 3Choose the modulus and the output mapping.
  4. 4Choose where the check character goes: at the end or at a fixed position.
  5. 5Generate or verify serials with the saved configuration.

Custom Serial Number Calculator Formula

The custom serial formula is Check = map((Σ v(cᵢ) × wᵢ) mod m), placed at the configured position.

S = Σ v(cᵢ) × wᵢ
r = S mod m   (CUSTOM SERIAL NUMBER)
Check = map(g(r)),  g ∈ { r, m − r, (m − r) mod m }
  • v is the configured value table.
  • map turns a number into an output character.
Worked example: SN-2026-00451, weights 1–9 from the left, mod 11, 10 = X
Digits 202600451 → S = 109
r = 10
Check = 10
Serial = SN-2026-00451-10

Custom Serial Number Calculator Conversion Table

The custom serial conversion table shows how 1 serial gets different check characters under 5 configurations.

ConfigurationModulusWeightsSerial digitsCheck
Luhn102,1 + digit sum2026004511
GS1103,1 from right2026004512
Linear mod 11111…9 from left202600451X
Damm10Quasigroup table2026004516
Verhoeff10D5 tables2026004516

What is Custom Serial Number Calculator?

A Custom Serial Number Calculator is a tool that adds a check character to product, asset, or device serial numbers under user-defined rules. Manufacturers use it when no public standard covers their serial format.

A good serial check scheme uses a prime modulus or a quasigroup table, so every single-character error and every adjacent swap is caught.

What are the uses of Custom Serial Number Calculator?

There are 3 main uses of the Custom Serial Number Calculator, including product serials, warranty registration, and asset tags.

  • Product serials: Manufacturers print self-checking serials on nameplates.
  • Warranty registration: Support portals reject mistyped serials.
  • Asset tags: IT teams number laptops and equipment with check characters.