Convert eligible 978-prefix ISBNs.
Initialising algorithm engine for ISBN-13 to ISBN-10 Converter...
How ISBN-13 to ISBN-10 Converter Works?
The ISBN-13 to ISBN-10 Converter works by confirming the 978 prefix, removing the prefix and the old check digit, and computing a new modulus 11 check character. ISBN-13 values with the 979 prefix have no ISBN-10 equivalent.
- 1Validate the ISBN-13 check digit.
- 2Confirm the ISBN-13 starts with 978; stop if it starts with 979.
- 3Keep digits 4 to 12 (9 digits).
- 4Weight the 9 digits 10 down to 2 and compute (11 − (S mod 11)) mod 11.
- 5Write 10 as X and append the check character.
ISBN-13 to ISBN-10 Converter Formula
The ISBN-13 to ISBN-10 formula is ISBN-10 = d₄…d₁₂ + (11 − (Σ (14 − i)·dᵢ mod 11)) mod 11.
core = d₄d₅…d₁₂ S = 10·core₁ + 9·core₂ + … + 2·core₉ check = (11 − (S mod 11)) mod 11, 10 → X
coreis the 9-digit ISBN body.
Prefix 978 confirmed Core = 080442957 S = 199 S mod 11 = 1 Check = (11 − 1) mod 11 = 10 → X ISBN-10 = 0-8044-2957-X
ISBN-13 to ISBN-10 Converter Conversion Table
The ISBN-13 to ISBN-10 conversion table lists 978-prefix ISBNs with their ISBN-10 equivalents and 1 ineligible 979 example.
| ISBN-13 | Prefix | Core (9 digits) | ISBN-10 check | ISBN-10 |
|---|---|---|---|---|
| 9780804429573 | 978 | 080442957 | X | 080442957X |
| 9780306406157 | 978 | 030640615 | 2 | 0306406152 |
| 9780439420891 | 978 | 043942089 | X | 043942089X |
| 9780198534532 | 978 | 019853453 | 1 | 0198534531 |
| 9780939996025 | 978 | 093999602 | 2 | 0939996022 |
| 9781558608320 | 978 | 155860832 | X | 155860832X |
| 9791069120976 | 979 | — | — | No ISBN-10 exists |
What is ISBN-13 to ISBN-10 Converter?
An ISBN-13 to ISBN-10 Converter is a tool that converts a 978-prefix ISBN-13 back into the 10-character ISBN format. The converter recomputes the modulus 11 check character, which can be X.
Agencies began issuing 979-prefix ISBNs after the 978 range filled up in countries such as France and the United States, so only 978 numbers convert.
What are the uses of ISBN-13 to ISBN-10 Converter?
There are 3 main uses of the ISBN-13 to ISBN-10 Converter, including legacy systems, marketplace lookups, and citation formats.
- Legacy systems: Older library and inventory systems still store 10-character ISBNs.
- Marketplace lookups: Sellers search older listings indexed by ISBN-10.
- Citation formats: Researchers match references that cite an ISBN-10.