{"id":919,"date":"2025-05-25T19:02:44","date_gmt":"2025-05-25T18:02:44","guid":{"rendered":"https:\/\/workboot.fr\/ciela\/?page_id=919"},"modified":"2025-07-12T15:59:09","modified_gmt":"2025-07-12T14:59:09","slug":"algebre-de-boole","status":"publish","type":"page","link":"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/","title":{"rendered":"Alg\u00e8bre de BOOLE"},"content":{"rendered":"\n<nav aria-label=\"Table des mati\u00e8res\" class=\"wp-block-table-of-contents\"><ol><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#qui-est-monsieur-boole\">Qui est monsieur Boole<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#les-fonctions-fondamentales\">Les fonctions fondamentales<\/a><ol><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#la-fonction-oui\">La fonction OUI<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#la-fonction-non\">La fonction NON<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#la-fonction-et\">La fonction ET<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#la-fonction-ou\">La fonction OU<\/a><\/li><\/ol><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#les-notations-et-symboles\">Les notations et symboles<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#les-fonctions-composees\">Les fonctions compos\u00e9es<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/workboot.fr\/ciela\/algebre-de-boole\/#loi-de-de-morgan\">Loi de De Morgan<\/a><\/li><\/ol><\/nav>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/sites.google.com\/view\/snir1\/cours\/boole\">https:\/\/sites.google.com\/view\/snir1\/cours\/boole<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"qui-est-monsieur-boole\">Qui est monsieur Boole<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Math\u00e9maticien Anglais&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/George_Boole\" target=\"_blank\" rel=\"noreferrer noopener\">George BOOLE&nbsp;<\/a>(1824-1864)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u2019est en partie gr\u00e2ce \u00e0 ce g\u00e9nie qu\u2019aujourd\u2019hui vous disposez de vos smartphones !<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/05\/boole.png\"><img loading=\"lazy\" decoding=\"async\" width=\"381\" height=\"512\" src=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/05\/boole.png\" alt=\"\" class=\"wp-image-922\" srcset=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/05\/boole.png 381w, https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/05\/boole-223x300.png 223w\" sizes=\"auto, (max-width: 381px) 100vw, 381px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Monsieur Boole a imagin\u00e9 un syst\u00e8me bas\u00e9 sur la base 2, o\u00f9 l\u2019on utilise le 0 et le 1 : c\u2019est ce qu\u2019on appelle le binaire.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Par convention , on dit que :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">VRAI c&rsquo;est <strong>1  <\/strong>(TRUE) et que FAUX c&rsquo;est <strong>0<\/strong> (FALSE)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ce site permet de simuler les fonctions avec des portes logiques :<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><a href=\"https:\/\/lushprojects.com\">https:\/\/lushprojects.com<\/a><\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"les-fonctions-fondamentales\">Les fonctions fondamentales<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Ces 4 fonctions permettent de r\u00e9aliser toutes les autres. Ce sont les briques de l\u00e9go minimales <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"la-fonction-oui\">La fonction OUI<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Appel\u00e9e aussi la fonction identit\u00e9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S = A<\/p>\n\n\n\n<div style=\"text-align: center;\">\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">a<\/th>\n        <th style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          S = a\n        <\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          0\n        <\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          1\n        <\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"la-fonction-non\">La fonction NON<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Appel\u00e9e aussi la fonction n\u00e9gation<\/p>\n\n\n\n<div style=\"text-align: center;\">\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">a<\/th>\n        <th style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          S = \u00aca\n        <\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          1\n        <\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          0\n        <\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">S= \/a <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S est \u00e9gal \u00e0   &lsquo;a&rsquo; barre , (\/a)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"la-fonction-et\">La fonction ET<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">ici 2 Entr\u00e9es a , b <\/p>\n\n\n\n<div style=\"text-align: center;\">\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">a<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">b<\/th>\n        <th style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          S = a . b\n        <\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">S est vraie si, et seulement si, toutes les entr\u00e9es sont vraies.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S= a . b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ou  S= ab <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">ou S = a &amp; b<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"la-fonction-ou\">La fonction OU<\/h2>\n\n\n\n<div style=\"text-align: center;\">\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">a<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">b<\/th>\n        <th style=\"border-left: double #333; border-top: 1px solid #333; border-right: 1px solid #333; border-bottom: 1px solid #333; padding: 8px;\">\n          S = a + b\n        <\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">S est vraie si au moins une des entr\u00e9es est vraie.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S = a + b<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"les-notations-et-symboles\">Les notations et symboles<\/h1>\n\n\n\n<div style=\"text-align: center;\">\n  <h3>Tableau de correspondance des notations logiques<\/h3>\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">Fonction<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">Notation math\u00e9matique<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">Notation \u00e9lectronique (ta notation)<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">Nom en texte<\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NON<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u00acA ou A\u0305<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\/A<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NOT<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">ET<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u2227 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A . B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">AND<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">OU<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u2228 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A + B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">OR<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NON-ET<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u00ac(A \u2227 B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\/ (A . B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NAND<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NON-OU<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u00ac(A \u2228 B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\/ (A + B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NOR<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">OU exclusif<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u2295 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u2295 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">XOR<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">NON-XOR<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u00ac(A \u2295 B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\/ (A \u2295 B)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">XNOR \/ \u00c9galit\u00e9<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">Implication<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u21d2 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u2014<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">IMPL<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u00c9quivalence<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">A \u21d4 B<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">\u2014 (souvent XNOR)<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">EQV<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"les-fonctions-composees\">Les fonctions compos\u00e9es<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">On appel fonctions compos\u00e9es les fonction d\u00e9riv\u00e9es des fonctions fondamentale.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Il existe une liste non exhaustive de fonctions compos\u00e9es.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Nom (FR)<\/th><th>Nom (EN)<\/th><th>Symbole courant<\/th><th>Expression bool\u00e9enne<\/th><th>Remarque<\/th><\/tr><\/thead><tbody><tr><td><strong>NON-ET<\/strong><\/td><td>NAND<\/td><td>\u2191 ou \u22bc<\/td><td>\u00ac(a \u2227 b)<\/td><td>Tr\u00e8s utilis\u00e9e (portes NAND)<\/td><\/tr><tr><td><strong>NON-OU<\/strong><\/td><td>NOR<\/td><td>\u2193 ou \u22bd<\/td><td>\u00ac(a \u2228 b)<\/td><td>Autre porte universelle<\/td><\/tr><tr><td><strong>OU exclusif<\/strong><\/td><td>XOR<\/td><td>\u2295 ou ^<\/td><td>(a \u2227 \u00acb) \u2228 (\u00aca \u2227 b)<\/td><td>R\u00e9sultat = 1 si a \u2260 b<\/td><\/tr><tr><td><strong>NON-XOR<\/strong><\/td><td>XNOR<\/td><td>\u2261 ou \u2299<\/td><td>\u00ac(a \u2295 b) ou (a \u2227 b) \u2228 (\u00aca \u2227 \u00acb)<\/td><td>R\u00e9sultat = 1 si a = b<\/td><\/tr><tr><td><strong>Implication<\/strong><\/td><td>Implication<\/td><td>a \u21d2 b<\/td><td>\u00aca \u2228 b<\/td><td>Logique conditionnelle<\/td><\/tr><tr><td><strong>Co-implication<\/strong><\/td><td>Equivalence<\/td><td>a \u2261 b<\/td><td>(a \u2227 b) \u2228 (\u00aca \u2227 \u00acb)<\/td><td>M\u00eame que XNOR<\/td><\/tr><tr><td><strong>Diff\u00e9rence<\/strong><\/td><td>Difference<\/td><td><\/td><td>a \u2227 \u00acb<\/td><td>a est 1 <strong>et<\/strong> b est 0<\/td><\/tr><tr><td><strong>Majoration<\/strong><\/td><td>Logical OR<\/td><td><\/td><td>a \u2228 (a \u2227 b)<\/td><td>Variante logique<\/td><\/tr><tr><td><strong>Inhibition<\/strong><\/td><td>Inhibit (NOT-AND)<\/td><td><\/td><td>a \u2227 \u00acb ou b \u2227 \u00aca<\/td><td>Suppression conditionnelle<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Et bien d\u2019autres fonctions tr\u00e8s utiles permettent, par exemple, de comparer des mots binaires, de les additionner, de faire des soustractions, etc.<br>Tout cela aboutit \u00e0 des syst\u00e8mes \u00e9lectroniques, m\u00e9caniques ou pneumatiques capables d\u2019ex\u00e9cuter des op\u00e9rations : c\u2019est la base de la technologie moderne.<br>On retrouve ces fonctions logiques dans l\u2019UAL (Unit\u00e9 Arithm\u00e9tique et Logique) des microprocesseurs par exemple.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"loi-de-de-morgan\">Loi de De Morgan<\/h1>\n\n\n\n<div style=\"text-align: center;\">\n  <h3>Loi de De Morgan 1 : \u00ac(A \u2227 B) = \u00acA \u2228 \u00acB<\/h3>\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">A<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">B<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acA<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acB<\/th>\n        <th style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">\u00ac(A \u2227 B)<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acA \u2228 \u00acB<\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\/(A.B)=\/A+\/B<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div style=\"text-align: center;\">\n  <h3>Loi de De Morgan 2 : \u00ac(A \u2228 B) = \u00acA \u2227 \u00acB<\/h3>\n  <table style=\"margin: 0 auto; border-collapse: collapse; text-align: center;\">\n    <thead>\n      <tr>\n        <th style=\"border: 1px solid #333; padding: 8px;\">A<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">B<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acA<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acB<\/th>\n        <th style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">\u00ac(A \u2228 B)<\/th>\n        <th style=\"border: 1px solid #333; padding: 8px;\">\u00acA \u2227 \u00acB<\/th>\n      <\/tr>\n    <\/thead>\n    <tbody>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n      <tr>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">1<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border-left: double #333; border: 1px solid #333; padding: 8px;\">0<\/td>\n        <td style=\"border: 1px solid #333; padding: 8px;\">0<\/td>\n      <\/tr>\n    <\/tbody>\n  <\/table>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\/(A+B)=\/A. \/B<\/p>\n","protected":false},"excerpt":{"rendered":"<p>https:\/\/sites.google.com\/view\/snir1\/cours\/boole Qui est monsieur Boole Math\u00e9maticien Anglais&nbsp;George BOOLE&nbsp;(1824-1864) C\u2019est en partie gr\u00e2ce \u00e0 ce g\u00e9nie qu\u2019aujourd\u2019hui vous disposez de vos smartphones ! Monsieur Boole a imagin\u00e9 un syst\u00e8me bas\u00e9 sur la base 2, o\u00f9 l\u2019on utilise le 0 et le 1 : c\u2019est ce qu\u2019on appelle le binaire. Par convention , on dit que : [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-919","page","type-page","status-publish","hentry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"admin","author_link":"https:\/\/workboot.fr\/ciela\/author\/admin\/"},"uagb_comment_info":0,"uagb_excerpt":"https:\/\/sites.google.com\/view\/snir1\/cours\/boole Qui est monsieur Boole Math\u00e9maticien Anglais&nbsp;George BOOLE&nbsp;(1824-1864) C\u2019est en partie gr\u00e2ce \u00e0 ce g\u00e9nie qu\u2019aujourd\u2019hui vous disposez de vos smartphones ! Monsieur Boole a imagin\u00e9 un syst\u00e8me bas\u00e9 sur la base 2, o\u00f9 l\u2019on utilise le 0 et le 1 : c\u2019est ce qu\u2019on appelle le binaire. Par convention , on dit que :\u2026","_links":{"self":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/919","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/comments?post=919"}],"version-history":[{"count":24,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/919\/revisions"}],"predecessor-version":[{"id":2325,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/919\/revisions\/2325"}],"wp:attachment":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/media?parent=919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}