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Barcode EAN13

Tool to generate / decode EAN-13 barcodes. The EAN13 code (European Article Numbering 13) is a barcode standard (European then International) used for commercial products.

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Barcode EAN13 -

Tag(s) : Character Encoding, Image Processing

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# Barcode EAN13

## Barcode EAN-13 Generator

 Checksum Add the control character Already included in the coded value Ignore (no control)
 Output format Image Binary Data 0=Empty and 1=Black bar Checksum value

### Options

 Output format Value/Text of the Barcode Image

### How to encrypt using Barcode EAN13 cipher?

The EAN-13 Barcode format is the most widely used product barcode format. It codes 13-digit numbers via 7-bit binary codes using three correspondence tables:

DigitLeft 1 OddLeft 2 EvenRight
0000110101001111110010
1001100101100111100110
2001001100110111101100
3011110101000011000010
4010001100111011011100
5011000101110011001110
6010111100001011010000
7011101100100011000100
8011011100010011001000
9000101100101111110100

The first step is to locate the first digit of the barcode which will define a coding table for the parities of the following 6 numbers. This first digit will not itself be coded.

0 1,1,1,1,1,1
11,1,2,1,2,2
21,1,2,2,1,2
31,1,2,2,2,1
41,2,1,1,2,2
51,2,2,1,1,2
61,2,2,2,1,1
71,2,1,2,1,2
81,2,1,2,2,1
91,2,2,1,2,1

Example: In the barcode 3-456789-543219, the first digit is 3 so the parities to be used are 1,1,2,2,2,1.

To code the digits in positions 2 to 7 (on the left), use the binary codes left and the parity indicated by the coding table.

Example: The digits on the left 4,5,6,7,8,9 are coded with the parities 1,1,2,2,2,1 in EAN-13 (0 = empty and 1 = black bar) :

 4 5 6 7 8 9 1 1 2 2 2 1 0100011 0110001 0000101 0010001 0001001 0001011

To code the digits in positions 8 to 13 (right), use the binary codes right .

Example: The figures on the right 543219 are coded in EAN-13 (0 = empty and 1 = black bar):

 5 4 3 2 1 9 1001110 1011100 1000010 1101100 1100110 1110100

A complete EAN13 barcode begins and ends with a normal guard zone coded 101 and contains a central guard zone coded 01010 which separates the first 6 digits of the next 6.

Example: The number 3-456789-543219 is coded in EAN-13 (0 = empty and 1 = black bar):

 || 3 456789 || 543219 || 101 0100011...0001011 01010 1001110...1110100 101

The 13th digit of the EAN-13 barcode is a checksum.

### How to decrypt a Barcode EAN13?

The decryption of the EAN13 code is done by binary reading of the black 1 and white 0 bands, which can then be translated via the coding tables (above).

The 12 coded digits can then be read, but the first digit is missing. To find out, note the parity found (even or odd left) of the first 6 digits and deduce the corresponding digit in the parity coding table.

Example: odd,even,odd,even,even,odd (or 1,2,1,2,2,1) corresponds to the number 8

### How to calculate the EAN13 checksum?

The checksum is calculated with weights (1 and 3) associated with the first 12 digits of the bar code. The 13th digit (control character) is the digit $x$ that must be added to the value found so that the total sum modulo 10 is 0.

Example: 012345678910 has the sum $0\times1+1\times3+2\times1+ \cdots +8\times1+9\times3+1\times1+0\times3=96$ and $96 + X \equiv 0 \mod 10 \iff x = 4$ so the check digit is 4

### How to recognize an EAN13 Barcode?

EAN13 has a graphical representation of a classic barcode (black bars on a white background), with generally 3 slightly longer double bars positioned at the beginning, in the middle and at the end.

An EAN13 barcode is made to code only 13-digit numbers, it is dedicated to everyday consumer products of supermarkets, food and non-food.

The binary representation of EAN-13 (with 0 or N for black and 1 or B for white lines) has a fixed length of 95 bits. It begins and terminates with 101 and never includes 5 identical consecutive bits.

## Source code

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