EAN 13 BARCODE

Format of the EAN 13

Length	Type	checksum
13 digits	numeric	yes

The EAN 13 is composed by 12 data digits + 1 checksum digit.

Calculating the EAN 13 checksum

Calculating the EAN 13 checksum digit is very simple :

The digit are used from right to left

Calculate the sum of the numbers of odd and even positions

Odd : 1 + 3 + 5 + 7 + 9 + 1 = 26
Even : 2 + 4 + 6 + 8 + 2 = 22

EAN 13 checksum formula :

( 10 - [ (3 * Odd + Even) modulo 10 ] ) modulo 10

Thus, the example :

(10 - [ (3 * 26 + 22) module 10 ] ) modulo 10
(10 - [ (78 + 22) module 10 ] ) modulo 10
(10 - [ (100) module 10 ] ) modulo 10
(10 - [ 0 ] ) modulo 10
(10 - 0) modulo 10
10 modulo 10
0

So the checksum of 210987654321 is 0

EAN 13 checksum generator :

EAN 13 message : Checksum :

Binary sequence of EAN 13 barcode

Start

A start sequence starts the barcode : 101

The 13 digits will be separated into 2 parts, namely the left part from the 1st au 7th digit and the right part from the 8th au 13th digit

Part #1

The first part is encoded according to the following table :

digit	sequence
0	000000
1	001011
2	001101
3	001110
4	010011
5	011001
6	011100
7	010101
8	010110
9	011010

Thus for each bit of the first digit, a sequence of 6 "0" or "1" will be used to encode the 6 next digits according to the following tables :

digit	table 0	table 1
0	0001101	0100111
1	0011001	0110011
2	0010011	0011011
3	0111101	0100001
4	0100011	0011101
5	0110001	0111001
6	0101111	0000101
7	0111011	0010001
8	0110111	0001001
9	0001011	0010111

For example, the first digit is 2, the tables used for the digit 2 to 7 will be defined by the sequence 001101:

The "1" will result from table "0"
The "0" will result from table "0"
The "9" will result from table "1"
...

Part #1 will be0011001 0001101 0010111 0001001 0111011 0000101

Intermediate

An intermediate sequence separate the 2 parts : 01010

Part #2

The second part is encoded according to the following table :

digit	table 2
0	1110010
1	1100110
2	1101100
3	1000010
4	1011100
5	1001110
6	1010000
7	1000100
8	1001000
9	1110100

Part #2 will be 1001110 1011100 1000010 1101100 1100110 1110010

Stop

A stop sequence ends the barcode : 101

Summary of the sequence of the EAN 13

start : 101
part #1
center : 01010
part #2
stop : 101

Graphical representation of the EAN 13 barcode

Each element of the binary sequence is represented by a space of equal width, it is a "1" or "0". The "1" are represented by spaces filled and "0" with empty spaces.

Online EAN 13 barcode generator

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