ISBN-10 to ISBN-13 Converter

How ISBN-10 to ISBN-13 Converter Works?

The ISBN-10 to ISBN-13 Converter works by dropping the old ISBN-10 check character, adding the prefix 978, and computing a new check digit with the EAN-13 algorithm.

1. 1Remove hyphens and validate the ISBN-10 check character.
2. 2Drop the 10th character (digit or X).
3. 3Add 978 in front of the remaining 9 digits.
4. 4Weight the 12 digits 1-3-1-3 and compute (10 − (S mod 10)) mod 10.
5. 5Append the new check digit to get the ISBN-13.

ISBN-10 to ISBN-13 Converter Formula

The ISBN-10 to ISBN-13 formula is ISBN-13 = 978 + d₁…d₉ + EAN-13 check digit.

payload = '978' + d₁d₂…d₉
d₁₃ = (10 − (Σ payloadᵢ × wᵢ mod 10)) mod 10,  wᵢ = 1, 3, 1, 3…

• d₁…d₉ are the first 9 ISBN-10 digits.

Drop check 2 → 030640615
Add 978 → 978030640615
S = 93
Check digit = (10 − (93 mod 10)) mod 10 = 7
ISBN-13 = 978-0-306-40615-7

ISBN-10 to ISBN-13 Converter Conversion Table

The ISBN-10 to ISBN-13 conversion table shows ISBN-10 values next to their ISBN-13 equivalents.

What is ISBN-10 to ISBN-13 Converter?

An ISBN-10 to ISBN-13 Converter is a tool that turns a 10-digit ISBN into its 13-digit equivalent with a recalculated check digit. Every ISBN-10 has exactly 1 ISBN-13 equivalent in the 978 range.

The 2 check digits use different algorithms (modulus 11 and modulus 10), so the old check character never carries over.

What are the uses of ISBN-10 to ISBN-13 Converter?

There are 3 main uses of the ISBN-10 to ISBN-13 Converter, including catalogue upgrades, barcode creation, and duplicate matching.

• Catalogue upgrades: Libraries and shops convert legacy ISBN-10 records.
• Barcode creation: Publishers create EAN-13 barcodes for reprints of older titles.
• Duplicate matching: Data teams match the same book stored under both formats.