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B.B.Goyal, Barnala, India

Notes October 2003


ISBN Number



ISBN is the abbreviation for the International Standard Book Number. ISBN numbers are 10 digits in length. In an ISBN of the form X-XX-XXXXXX-X:

The first block of digits on the left represents the language of the book (0 is used to represent English). This block is usually 1 digit in length.
The second block of digits represents the publisher. This block is usually 2 or 3 digits in length
The third block of digits represents is the number assigned to the book by the publishing company. This is usually 5 or 6 digits in length.
The fourth block consists of the check digit.

For the purposes of this document, we will consider the ISBN 0-13-190190-7 which is the ISBN for Number Theory with Applications by James A. Anderson and James M. Bell.

To determine the check digit for this Internation Standard Book Number, follow the below steps.

Step 1: Mutliply all nine assigned digits by weighted values. The weighted values are 1 for the first digit from the left, 2 for the second digit, three for third digit, etc.

1*0 + 2*1 + 3*3 + 4*1 + 5*9 + 6*0 + 7*1 + 8*9 + 9*0 = 139

Step 2: ISBN uses (mod 11) to determine the check digit.

139 = 7 (mod 11)

To determine is a check digit in an ISBN number is valid multiply all 10 digits by weighted values to get a value t, and            t = 0(mod 11). In our case 1*0 + 2*1 + 3*3 + 4*1 + 5*9 + 6*0 + 7*1 + 8*9 + 9*0 + 10*7 = 0(mod 11).

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