Calculate thirteen-digit book identifier checks.
Initialising algorithm engine for ISBN-13 Check Digit Calculator...
How ISBN-13 Check Digit Calculator Works?
The ISBN-13 Check Digit Calculator works by weighting the 12 payload digits 1-3-1-3 from left to right, summing the products, and appending the digit that completes the next multiple of 10. ISBN-13 uses the same algorithm as EAN-13.
- 1Enter the 12-digit payload starting with 978 or 979.
- 2Multiply digits in odd positions by 1 and digits in even positions by 3.
- 3Add the 12 products.
- 4Compute the 13th digit as (10 − (S mod 10)) mod 10.
ISBN-13 Check Digit Calculator Formula
The ISBN-13 formula is d₁₃ = (10 − (Σ dᵢ·wᵢ mod 10)) mod 10, with wᵢ = 1 for odd i and 3 for even i.
S = (d₁ + d₃ + … + d₁₁) + 3 × (d₂ + d₄ + … + d₁₂), d₁d₂d₃ = 978 or 979 ISBN-13 check = (10 − (S mod 10)) mod 10
d₁…d₃are the 978 or 979 prefix.d₁₃is the check digit.
Payload: 978030640615 Weights: 131313131313 S = 93 Check digit = (10 − (93 mod 10)) mod 10 = 7 ISBN-13 = 978-0-306-40615-7
ISBN-13 Check Digit Calculator Conversion Table
The ISBN-13 conversion table lists sample book payloads and their ISBN-13 check digits.
| Prefix | Registration group | Payload (12 digits) | Check digit | ISBN-13 |
|---|---|---|---|---|
| 978 | 0 – English | 978030640615 | 7 | 9780306406157 |
| 978 | 3 – German | 978316148410 | 0 | 9783161484100 |
| 978 | 2 – French | 978207036002 | 4 | 9782070360024 |
| 978 | 84 – Spain | 978849930622 | 3 | 9788499306223 |
| 978 | 81 – India | 978819302123 | 1 | 9788193021231 |
| 979 | 10 – France (979) | 979106912097 | 6 | 9791069120976 |
| 979 | 8 – United States (979) | 979881234567 | 9 | 9798812345679 |
What is ISBN-13 Check Digit Calculator?
An ISBN-13 Check Digit Calculator is a tool that computes the final digit of a 13-digit International Standard Book Number. Every book published with an ISBN since 2007 carries an ISBN-13.
An ISBN-13 has 5 elements: the prefix (978 or 979), the registration group, the registrant, the publication, and the check digit.
What are the uses of ISBN-13 Check Digit Calculator?
There are 3 main uses of the ISBN-13 Check Digit Calculator, including new title setup, barcode printing, and retailer feeds.
- New title setup: Publishers complete ISBNs from an assigned ISBN block.
- Barcode printing: Designers print the ISBN-13 as an EAN-13 barcode on back covers.
- Retailer feeds: Distributors validate ISBNs in ONIX metadata files.