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autocapitalize="sentences" title="Rechercher sur Wikipédia [f]" accesskey="f"> <span class="search-box-icon-overlay"><span class="minerva-icon minerva-icon--search"></span> </span> </div><button id="searchIcon" class="cdx-button cdx-button--size-large cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Rechercher</span> </button> </form> <nav class="minerva-user-navigation" aria-label="Navigation utilisateur"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">EAN 13</span></h1> <div class="tagline"></div> </div> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"><a 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id="page-actions-edit" class="page-actions-menu__list-item"><a role="button" id="ca-edit" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.edit" data-mw="interface" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet edit-page menu__item--page-actions-edit"> <span class="minerva-icon minerva-icon--edit"></span> <span>Modifier</span> </a></li> </ul> </nav> <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"> <script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <div class="bandeau-container metadata homonymie hatnote"> <div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"> <span class="noviewer" typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aide:Homonymie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aide:Homonymie"><img alt="Page d’aide sur l’homonymie" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/20px-Logo_disambig.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/30px-Logo_disambig.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/40px-Logo_disambig.svg.png 2x" data-file-width="512" data-file-height="375"></a></span> </div> <div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Pour les articles homonymes, voir <a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-disambig" title="EAN">EAN</a>.</p> </div> </div> <style data-mw-deduplicate="TemplateStyles:r222901683">.mw-parser-output .infobox hr{height:2px;background-color:#E1E1E1}.mw-parser-output .infobox_v3 .row1col{padding:4px;text-align:center;background-color:var(--background-color-neutral-subtle,#f8f9fa);color:var(--color-emphasized,#000000)}</style> <p>Les codes <b>EAN 13</b> (<i><span class="lang-en" lang="en">European Article Numbering</span></i> à 13 chiffres) sont les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Code-barres_EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Code-barres EAN">codes à barres</a> utilisés dans le monde entier sur l'ensemble des produits de grande consommation (on utilise parfois le code <a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_8?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="EAN 8">EAN 8</a> pour les objets de petite taille). Ils comportent 13 chiffres dont la signification varie suivant le type du produit :</p> <ul> <li>les deux ou trois premiers correspondent au pays de provenance du produit, ou à une classe normalisée de produits ;</li> <li>les 4 ou 5 suivants sont le numéro de membre de l’entreprise participant au système EAN ;</li> <li>les 4 ou 5 suivants sont le numéro d’article du produit ainsi marqué et</li> <li>le treizième est une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Cl%C3%A9_de_contr%C3%B4le?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Clé de contrôle">clé de contrôle</a> calculée en fonction des douze précédents.</li> </ul> <div class="infobox_v3 infobox infobox--frwiki noarchive large"> <div class="entete" style="background-color:#E8E8E8"> <div> EAN 13 </div> </div> <div> <div class="images" style="padding:2px 0"> <span class="mw-default-size" typeof="mw:File/Frameless"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:EAN13.jpg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/260px-EAN13.jpg" decoding="async" width="260" height="195" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/390px-EAN13.jpg 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/520px-EAN13.jpg 2x" data-file-width="640" data-file-height="480"></a></span> </div> </div> <table> <tbody> <tr class=""> <th scope="row">Type</th> <td class=""> <div><span class="wd_p279"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Code-barres_EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Code-barres EAN">Code-barres EAN</a><span class="noprint wikidata-linkback skin-invert"><span class="mw-valign-baseline noviewer" typeof="mw:File"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://www.wikidata.org/wiki/Q3045807?uselang%3Dfr%23P279" title="Voir et modifier les données sur Wikidata"><img alt="Voir et modifier les données sur Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600"></a></span></span></span> </div></td> </tr> </tbody> </table> <p class="navbar noprint bordered navigation-not-searchable" style="border-top:1px solid#E8E8E8"><span class="plainlinks" style="text-align:left"><a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/w/index.php?title%3DEAN_13%26veaction%3Dedit%26section%3D0">modifier</a> - <a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/w/index.php?title%3DEAN_13%26action%3Dedit%26section%3D0">modifier le code</a> - <a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://www.wikidata.org/wiki/Q3045807" class="extiw" title="d:Q3045807">modifier Wikidata</a></span><span style="text-align:right"><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Mod%C3%A8le:Infobox_Objet?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Documentation du modèle"><img alt="Documentation du modèle" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512"></a></span></span></p> </div> <figure class="mw-default-size" typeof="mw:File/Thumb"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:EAN13.jpg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/220px-EAN13.jpg" decoding="async" width="220" height="165" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/330px-EAN13.jpg 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EAN13.jpg/440px-EAN13.jpg 2x" data-file-width="640" data-file-height="480"></a> <figcaption> Un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Code-barres_EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Code-barres EAN">code-barres EAN</a> 13. </figcaption> </figure> <p>La structure exacte des barres d'un code à barres EAN 13 est décrite dans l'article sur les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Code-barres_EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Code-barres EAN">codes à barres EAN</a>.</p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"> <input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"> <div class="toctitle" lang="fr" dir="ltr"> <h2 id="mw-toc-heading">Sommaire</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Livres_et_publications"><span class="tocnumber">1</span> <span class="toctext">Livres et publications</span></a> <ul> <li class="toclevel-2 tocsection-2"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Le_premier_chiffre"><span class="tocnumber">1.1</span> <span class="toctext">Le premier chiffre</span></a></li> </ul></li> <li class="toclevel-1 tocsection-3"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Calcul_de_la_cl%C3%A9_de_contr%C3%B4le_EAN_13"><span class="tocnumber">2</span> <span class="toctext">Calcul de la clé de contrôle EAN 13</span></a></li> <li class="toclevel-1 tocsection-4"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Notes_et_r%C3%A9f%C3%A9rences"><span class="tocnumber">3</span> <span class="toctext">Notes et références</span></a></li> <li class="toclevel-1 tocsection-5"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Voir_aussi"><span class="tocnumber">4</span> <span class="toctext">Voir aussi</span></a> <ul> <li class="toclevel-2 tocsection-6"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Articles_connexes"><span class="tocnumber">4.1</span> <span class="toctext">Articles connexes</span></a></li> <li class="toclevel-2 tocsection-7"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Liens_externes"><span class="tocnumber">4.2</span> <span class="toctext">Liens externes</span></a></li> </ul></li> </ul> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Livres_et_publications">Livres et publications</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Livres et publications" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <figure class="mw-default-size" typeof="mw:File/Thumb"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Isbn13.GIF?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Isbn13.GIF/220px-Isbn13.GIF" decoding="async" width="220" height="117" class="mw-file-element" data-file-width="500" data-file-height="266"> </noscript><span class="lazy-image-placeholder" style="width: 220px;height: 117px;" data-mw-src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Isbn13.GIF/220px-Isbn13.GIF" data-width="220" data-height="117" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Isbn13.GIF/330px-Isbn13.GIF 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Isbn13.GIF/440px-Isbn13.GIF 2x" data-class="mw-file-element"> </span></a> <figcaption> Exemple d’un ISBN nouvelle version. </figcaption> </figure> <p><b>Pour les livres</b>, le code à barres EAN 13 reprend la structure de l’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="International Standard Book Number">ISBN</a><sup id="cite_ref-1" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup> aux tirets près, obligatoires pour les codes <a href="https://fr-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="International Standard Book Number">ISBN</a>-13 mais non codés dans l'EAN-13.</p> <p>Pour toutes les publications éditées en 2006 ou antérieures, l'EAN commence par 978, suivi du code <a href="https://fr-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="International Standard Book Number">ISBN</a> à 9 chiffres (ISBN complet amputé de sa clé de contrôle), et terminé par la clé de contrôle EAN. Cet ISBN est aussi appelé <i><span class="lang-en" lang="en">Bookland</span> EAN</i> car son préfixe 978 n'est pas l'indicatif d'un pays, il a été créé pour regrouper tous les livres du monde. Ce pays virtuel est surnommé <i>Bookland</i> (« le pays des livres »)<sup id="cite_ref-2" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup>.</p> <p>Depuis janvier 2007, tous les codes ISBN des nouvelles publications sont compatibles avec la normes EAN 13. Les anciens codes sont convertis en utilisant le groupe préfixe 978 (encore utilisé pour la plupart des nouvelles publications), mais certains éditeurs reçoivent des codes ISBN à 13 chiffres dans le groupe 979 (ces codes n’ont <b>pas</b> d’équivalent à 10 chiffres).</p> <p><b>Pour les publications en série</b> (périodiques tels que journaux, magazines et bulletins), les éditeurs intègrent leur numéro <a href="https://fr-m-wikipedia-org.translate.goog/wiki/International_Standard_Serial_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="International Standard Serial Number">ISSN</a> normalisé à 8 chiffres dans un code EAN à 13 chiffres, en préfixant le code ISSN à 7 chiffres (donc tronqué de sa clé de contrôle) par un groupe de 3 chiffres <b>977</b>, suivi de deux chiffres à disposition des éditeurs et utilisés souvent comme code prix ou pour codifier les encarts et compléments attachés à la série, et terminé du chiffre clé de contrôle EAN. Contrairement aux codes ISBN à 10 chiffres, il n’existe pas à l’heure actuelle de norme permettant la conversion automatique des codes ISSN à 8 chiffres en codes EAN à 13 chiffres. Si une telle norme est adoptée, elle devra utiliser un groupe EAN différent de 977 pour éviter les collisions avec les codes EAN-13 déjà utilisés, ou réguler l’utilisation des deux derniers chiffres précédant le chiffre clé de contrôle EAN.</p> <div class="mw-heading mw-heading3"> <h3 id="Le_premier_chiffre">Le premier chiffre</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Le premier chiffre" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>La particularité des codes EAN 13 est que leur premier chiffre n'est pas codé sous la forme d'un élément EAN, mais par la séquence d'enchaînement des types d'éléments des 6 chiffres qui le suivent.</p> <p>Les lecteurs de codes barres (qui savent reconnaître si un élément est de type A ou B) déduisent donc la valeur de ce <abbr class="abbr" title="Premier">1<sup>er</sup></abbr> chiffre à partir du motif constitué par les types d'éléments du <abbr class="abbr" title="Deuxième">2<sup>e</sup></abbr> chiffre au <abbr class="abbr" title="Septième">7<sup>e</sup></abbr> chiffre. Voici le tableau donnant la correspondance entre ce motif et le <abbr class="abbr" title="Premier">1<sup>er</sup></abbr> chiffre :</p> <table class="wikitable centre" style="text-align:center"> <tbody> <tr> <th scope="col"><abbr class="abbr" title="Premier">1<sup>er</sup></abbr> chiffre</th> <th scope="col">Motif</th> <th scope="col">Remarques</th> </tr> <tr> <td>0</td> <td>[AAAAAA]</td> <td rowspan="10" style="text-align:left"><p>Parmi les 64 combinaisons possibles de 6 éléments de type A ou B (avant la zone de garde centrale),</p> <ul> <li>seules 10 combinaisons sont utilisées pour coder un chiffre ;</li> <li>les motifs ont tous un élément de type A, toujours présent en première position ;</li> <li>si un élément de type B est présent, il y a exactement trois éléments de ce type dans le motif ;</li> <li>les autres combinaisons ne sont pas utilisées.</li> </ul></td> </tr> <tr> <td>1</td> <td>[AABABB]</td> </tr> <tr> <td>2</td> <td>[AABBAB]</td> </tr> <tr> <td>3</td> <td>[AABBBA]</td> </tr> <tr> <td>4</td> <td>[ABAABB]</td> </tr> <tr> <td>5</td> <td>[ABBAAB]</td> </tr> <tr> <td>6</td> <td>[ABBBAA]</td> </tr> <tr> <td>7</td> <td>[ABABAB]</td> </tr> <tr> <td>8</td> <td>[ABABBA]</td> </tr> <tr> <td>9</td> <td>[ABBABA]</td> </tr> </tbody> </table> <p><b>Exemple</b> : Prenons l’exemple d'un code à 13 chiffres : <b>9-782940-199617</b>. Le premier chiffre étant un 9, la séquence doit donc être : "ABBABA-CCCCCC". En utilisant les <a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/7/75/Codbar_EAN_abc.png">tableaux de codage</a> du paragraphe "<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Code-barres_EAN?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Les_%C3%A9l%C3%A9ments_EAN" title="Code-barres EAN">Les éléments EAN</a>" de la page "Code-barre EAN" cela signifie que, dans l'ordre, le chiffre 7 est codé en type A, le 8 est codé en type B, le 2 est codé en type B, le 9 est codé en type A, le 4 est codé en type B, le 0 est codé en type A. Les 6 chiffres restants (1, 9, 9, 6, 1 et 7) étant codés selon le type C <span class="need_ref" title="Je ne trouve pas l'exemple complètement clair : comment détermine-t-on les codes binaires de la troisième ligne du tableau ci-dessous ? Y a-t-il une correspondance avec les chiffres décimaux de la deuxième ligne ? Si oui, quelle correspondance ? D'autre part, comment les types A ou B de la quatrième ligne sont-ils déterminés ? À partir de la troisième ligne ? Comment ?" style="cursor:help;">soit</span><sup class="need_ref_tag" style="padding-left:2px;"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Wikip%C3%A9dia:Style_encyclop%C3%A9dique?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Clair" title="Wikipédia:Style encyclopédique">[pas clair]</a></sup> :</p> <table class="wikitable centre" style="font-size:small;text-align:center"> <tbody> <tr> <td> </td> <td colspan="6">(9)</td> <td colspan="9"> </td> </tr> <tr> <td>"</td> <td>7</td> <td>8</td> <td>2</td> <td>9</td> <td>4</td> <td>0</td> <td>-</td> <td>1</td> <td>9</td> <td>9</td> <td>6</td> <td>1</td> <td>7</td> <td>"</td> </tr> <tr> <td>101</td> <td>0111011</td> <td>0001001</td> <td>0011011</td> <td>0001011</td> <td>0011101</td> <td>0001101</td> <td>01010</td> <td>1100110</td> <td>1110100</td> <td>1110100</td> <td>1010000</td> <td>1100110</td> <td>1000100</td> <td>101</td> </tr> <tr> <td>début</td> <td>type A</td> <td>type B</td> <td>type B</td> <td>type A</td> <td>type B</td> <td>type A</td> <td>milieu</td> <td>type C</td> <td>type C</td> <td>type C</td> <td>type C</td> <td>type C</td> <td>type C</td> <td>fin</td> </tr> </tbody> </table> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Calcul_de_la_clé_de_contrôle_EAN_13"><span id="Calcul_de_la_cl.C3.A9_de_contr.C3.B4le_EAN_13"></span>Calcul de la clé de contrôle EAN 13</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Calcul de la clé de contrôle EAN 13" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <p>Le dernier chiffre d'un code EAN 13 est toujours une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Cl%C3%A9_de_contr%C3%B4le?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Clé de contrôle">clé de contrôle</a> (<span class="lang-en" lang="en"><i>check digit</i></span>). Le principe est le même qu'une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Formule_de_Luhn?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Formule de Luhn">formule de Luhn</a>, excepté que les rangs pairs sont multipliés par trois et non par deux. Elle est calculée à partir des douze premiers chiffres<sup id="cite_ref-3" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup>selon l'algorithme suivant :</p> <ul> <li>Calculer trois fois la somme des chiffres de rang pair (en partant du second) de gauche à droite ;</li> <li>calculer la somme des chiffres de rang impair (en partant du premier) de gauche à droite ;</li> <li>totaliser ces deux sommes partielles ;</li> <li>prendre le chiffre des unités de ce total, <i>R</i> ;</li> <li>clé = reste de la division par 10 de 10- <i>R</i>.</li> </ul> <p>Par exemple, le calcul de la clé de contrôle du code EAN 13 dont les 12 premiers chiffres sont 471-9-5120-0288-<i>x</i> (où <i>x</i> est la clé de contrôle que l’on cherche), résulte du tableau suivant<sup id="cite_ref-4" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-4"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup> :</p> <table class="wikitable"> <tbody> <tr> <th scope="row">Chiffres « n » du code à barres</th> <td>4</td> <td>7</td> <td>1</td> <td>9</td> <td>5</td> <td>1</td> <td>2</td> <td>0</td> <td>0</td> <td>2</td> <td>8</td> <td>8</td> </tr> <tr> <th scope="row">Pondérations « p »</th> <td>1</td> <td>3</td> <td>1</td> <td>3</td> <td>1</td> <td>3</td> <td>1</td> <td>3</td> <td>1</td> <td>3</td> <td>1</td> <td>3</td> </tr> <tr> <th scope="row">Résultats « n » × « p »</th> <td>4</td> <td>21</td> <td>1</td> <td>27</td> <td>5</td> <td>3</td> <td>2</td> <td>0</td> <td>0</td> <td>6</td> <td>8</td> <td>24</td> </tr> </tbody> </table> <ol> <li>Pour les poids on alterne les valeurs 1 et 3.</li> <li>On calcule ensuite la somme des résultats.</li> <li>On calcule le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Reste?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Reste">reste</a> de la <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Division_euclidienne?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Division euclidienne">division</a> par 10 de la somme précédemment calculée : <ul> <li>si le reste de la division est égal à 0, alors la clé est 0,</li> <li>sinon, on ôte à 10 le reste ainsi trouvé : Clé = 10 - Reste.</li> </ul></li> </ol> <p>La somme vaut dans cet exemple 4+21+1+27+5+3+2+0+0+6+8+24 = 101, le reste de la division par 10 est 1 ; la clé vaut donc 10-1 = 9. Le code EAN 13 complet est 471-9-5120-0288-9</p> <p>Sous un tableur si la cellule A1 contient les 12 chiffres du code EAN-13 ou l'intégralité des 13 chiffres du code EAN-13, il est possible de calculer la clé de contrôle à l'aide de la formule suivante :</p> <pre>=MOD(10-MOD((STXT(A1;1;1)*1+STXT(A1;2;1)*3+STXT(A1;3;1)*1+STXT(A1;4;1)*3+STXT(A1;5;1)*1+STXT(A1;6;1)*3+STXT(A1;7;1)*1+STXT(A1;8;1)*3+STXT(A1;9;1)*1+STXT(A1;10;1)*3+STXT(A1;11;1)*1+STXT(A1;12;1)*3);10);10) </pre> <p>ou par la formule factorisée suivante :</p> <pre>=MOD(10-MOD(SOMMEPROD((1+EST.PAIR(LIGNE($1:$12))*2)*STXT(A1;LIGNE($1:$12);1));10);10)</pre> <p>Sur Excel en particulier, elle peut s'obtenir au moyen d'une fonction personnalisée :</p> <div class="mw-highlight mw-highlight-lang-vbnet mw-content-ltr" dir="ltr"> <pre><span></span><span class="k">Function</span><span class="w"> </span><span class="nf">KeyEAN13</span><span class="p">(</span><span class="n">EAN12$</span><span class="p">)</span> <span class="k">If</span><span class="w"> </span><span class="k">Not</span><span class="w"> </span><span class="n">EAN12</span><span class="w"> </span><span class="ow">Like</span><span class="w"> </span><span class="s">"############"</span><span class="w"> </span><span class="k">Then</span><span class="w"> </span><span class="n">KeyEAN13</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">CVErr</span><span class="p">(</span><span class="mi">2015</span><span class="p">):</span><span class="w"> </span><span class="k">Exit</span><span class="w"> </span><span class="k">Function</span> <span class="nf">For</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="k">To</span><span class="w"> </span><span class="n">Len</span><span class="p">(</span><span class="n">EAN12</span><span class="p">)</span> <span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">Mid</span><span class="p">(</span><span class="n">EAN12</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="mi">1</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="p">(</span><span class="mi">1</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="ow">Mod</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span> <span class="k">Next</span><span class="w"> </span><span class="n">i</span> <span class="k">If</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="ow">Mod</span><span class="w"> </span><span class="mi">10</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="k">Then</span> <span class="w"> </span><span class="n">KeyEAN13</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span> <span class="k">Else</span> <span class="w"> </span><span class="n">KeyEAN13</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">10</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="ow">Mod</span><span class="w"> </span><span class="mi">10</span> <span class="k">End</span><span class="w"> </span><span class="k">If</span> <span class="k">End</span><span class="w"> </span><span class="k">Function</span> </pre> </div> <p>à utiliser ainsi sur une cellule quelconque :</p> <pre>=KeyEAN13(A1)</pre> <p><br></p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Notes et références" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <div class="references-small decimal" style=""> <div class="mw-references-wrap"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-1">↑</a> </span><span class="reference-text"> <span class="ouvrage">« <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://gomaro.ch/isbnissn.htm"><cite style="font-style:normal;"><i>Intégration ou conversion des anciens codes ISBN à 10 chiffres ou des codes ISSN à 8 chiffres dans un code EAN à 13 chiffres</i></cite></a> », Gomaro <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2007-05-16" data-sort-value="2007-05-16">16 mai 2007</time>)</small></span></span></li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-2">↑</a> </span><span class="reference-text"><a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.thebookdesigner.com/2009/10/self-publishing-basics-deciphering-the-bookland-ean-bar-code/">Self-Publishing Basics: Deciphering the Bookland EAN Bar Code - The Book Designer</a></span></li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-3">↑</a> </span><span class="reference-text"><span class="ouvrage"><span class="noarchive">« <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.multilingualarchive.com/ma/enwiki/fr/European_Article_Number"><cite style="font-style:normal; color:var(--color-link-red, #d73333);">multilingualarchive.com/ma/enw…</cite></a> »<sup class="plainlinks">(<a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://web.archive.org/web/*/http://www.multilingualarchive.com/ma/enwiki/fr/European_Article_Number">Archive.org</a> • <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://archive.wikiwix.com/cache/?url%3Dhttp://www.multilingualarchive.com/ma/enwiki/fr/European_Article_Number">Wikiwix</a> • <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://archive.is/http://www.multilingualarchive.com/ma/enwiki/fr/European_Article_Number">Archive.is</a> • <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://webcache.googleusercontent.com/search?hl%3Dfr%26q%3Dcache:http://www.multilingualarchive.com/ma/enwiki/fr/European_Article_Number">Google</a> • <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Projet:Correction_des_liens_externes?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#J'ai_trouv%C3%A9_un_lien_mort,_que_faire_?" title="Projet:Correction des liens externes">Que faire ?</a>)</sup></span></span>.</span></li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/EAN_13?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-4">↑</a> </span><span class="reference-text"> <span class="ouvrage">« <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.gomaro.ch/lecheck.htm"><cite style="font-style:normal;"><i>Logiciel en ligne permettant le calcul du Check Digit de différentes symbologies</i></cite></a> », Gomaro <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2007-05-16" data-sort-value="2007-05-16">16 mai 2007</time>)</small></span></span></li> </ol> </div> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Voir_aussi">Voir aussi</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=EAN_13&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Voir aussi" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-4 collapsible-block" id="mf-section-4"> <div class="mw-heading mw-heading3"> <h3 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text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.digilex.ch/utilitaires/isbn2codebarre">Générateur de code barre EAN13 format vectoriel sur la base d'un ISBN</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr> (gratuit)</li> <li><span class="ouvrage">« <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.gomaro.ch/lecheck.htm"><cite style="font-style:normal;">Générateur de codes-barres EAN 13 en ligne</cite></a> », Gomaro <small style="line-height:1em;">(consulté le <time class="nowrap" datetime="2008-02-26" data-sort-value="2008-02-26">26 février 2008</time>)</small></span></li> <li><a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://grandzebu.net/informatique/codbar/ean13.htm">Polices et générateurs de code-barres</a> (sous <a 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