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ISBN-13 to ISBN-10 Converter

Convert eligible 978-prefix ISBN-13 numbers to ISBN-10. Review prefix restrictions and calculate the new Modulus 11 check character.

Last updated:

Publishing & Identifiers

Convert eligible 978-prefix ISBNs.

Length: 9 chars
Calculated Check Character / Checksum
--Ready
Complete Validated Sequence:
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Arithmetic Steps & Mathematical Specification

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.

  1. 1Validate the ISBN-13 check digit.
  2. 2Confirm the ISBN-13 starts with 978; stop if it starts with 979.
  3. 3Keep digits 4 to 12 (9 digits).
  4. 4Weight the 9 digits 10 down to 2 and compute (11 − (S mod 11)) mod 11.
  5. 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
  • core is the 9-digit ISBN body.
Worked example: 978-0-8044-2957-3
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-13PrefixCore (9 digits)ISBN-10 checkISBN-10
9780804429573978080442957X080442957X
978030640615797803064061520306406152
9780439420891978043942089X043942089X
978019853453297801985345310198534531
978093999602597809399960220939996022
9781558608320978155860832X155860832X
9791069120976979——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.