{"id":340,"date":"2026-03-07T12:32:41","date_gmt":"2026-03-07T11:32:41","guid":{"rendered":"https:\/\/yb-isn.fr\/2025\/nsi\/?p=340"},"modified":"2026-03-09T08:04:45","modified_gmt":"2026-03-09T07:04:45","slug":"30","status":"publish","type":"post","link":"https:\/\/yb-isn.fr\/2025\/nsi\/2026\/03\/07\/30\/","title":{"rendered":"30-Repr\u00e9sentation des nombres entiers et r\u00e9els en machine"},"content":{"rendered":"<p><!--more--><\/p>\n\n\n<figure><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/173746743?title=0&amp;byline=0&amp;portrait=0\" allowfullscreen=\"\" width=\"320\" height=\"240\"><\/iframe><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/capytale2.ac-paris.fr\/web\/c\/d8fe-2353014\">CAPYTALE<\/a><\/p>\n\n\n\n<p class=\"has-white-color has-header-gradient-background-color has-text-color has-background wp-block-paragraph\"><strong>1) \u00c9criture d\u2019un entier positif dans une base b \u2a7e 2 <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/09\/activite.png\" alt=\"\" class=\"wp-image-23\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Testez les scripts python ci-dessous dans votre IDE favori.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rappels : <a href=\"https:\/\/colab.research.google.com\/drive\/1R8iAxtC0Ol7CclS74TC-7GY9yv51o4hR\">Python et les entiers naturels en base 10,2,16<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/09\/activite.png\" alt=\"\" class=\"wp-image-23\"\/><\/figure>\n\n\n<p>Combien d\u00e9nombrez-vous d\u2019animaux&nbsp;?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/10\/animaux.png\" alt=\"L\u2019attribut alt de cette image est vide, son nom de fichier est animaux.png.\" width=\"237\" height=\"125\"><\/p>\n<p>Notre r\u00e9ponse est 18 en repr\u00e9sentation d\u00e9cimale.<\/p>\n<p>On peut pr\u00e9ciser si n\u00e9cessaire&nbsp;: (18)<sub>10<\/sub><\/p>\n\n\n<p class=\"wp-block-paragraph\">On peut \u00e9crire&nbsp;des repr\u00e9sentations diff\u00e9rentes du m\u00eame nombre d\u2019animaux :   (18)<sub>10<\/sub>= (00010010)<sub>2<\/sub>= (12)<sub>16<\/sub>= (22)<sub>8<\/sub> <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/10\/calcwin19-1.png\" alt=\"\" class=\"wp-image-440\"\/><figcaption class=\"wp-element-caption\">Avec la calculatrice de Windows 10 en mode programmeur. l&rsquo;\u00e9criture binaire a \u00e9t\u00e9 compl\u00e9t\u00e9e avec des \u00ab\u00a0z\u00e9ros\u00a0\u00bb \u00e0 gauche pour avoir un codage sur 8 bits. <\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Pour repr\u00e9senter un nombre n en base 10, on doit utiliser 10 caract\u00e8res<br> diff\u00e9rents pour repr\u00e9senter les 10 premiers entiers : 0 1 2 3 4 5 6 7 8 9,<br> et d\u00e9composer les entiers suivants \u00e0 l\u2019aide des puissances de 10 successives.<br> Par exemple, 19 repr\u00e9sente le nombre 1 \u00d7 10<sup>1<\/sup> + 9 \u00d7 10<sup>0<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En base 2 (binaire) on a 2 symboles 0 et 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En base 16 (hexad\u00e9cimal) on 16 symboles&nbsp;:\n0,1,2,3,4,5,6,7,8,9, A, B, C, D, E, F<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La valeur de A est 10 et F est 15.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/10\/retenir-e1569656528481.jpg\" alt=\"\" class=\"wp-image-412\"\/><\/figure>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Un entier naturel est un entier positif ou nul.  Pour coder des nombres entiers naturels compris entre 0 et 255, il nous suffira de 8 bits (un octet) . D&rsquo;une mani\u00e8re g\u00e9n\u00e9rale un codage sur&nbsp;<em>n<\/em>&nbsp;bits pourra permettre de repr\u00e9senter des nombres entiers naturels compris entre 0 et  2<sup>n<\/sup>-1 . <\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Chacun des nombres 0 ou 1 de l&rsquo;\u00e9criture binaire est appel\u00e9 bit.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/10\/bit.png\" alt=\"\" class=\"wp-image-417\"\/><\/figure>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Il est n\u00e9cessaire de fixer la taille de cette suite finie de bits pour coder les entiers naturels en machine.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Lorsque les nombres sont repr\u00e9sent\u00e9s par plusieurs octets, la machine doit fixer l&rsquo;ordre en m\u00e9moire de ces octets. On parle de <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Boutisme\">boutisme<\/a> ou endianness en anglais.  La m\u00e9moire des ordinateurs est divis\u00e9es en blocs de 8 bits (soit un octet). Un processeur 64 bits par exemple manipule des paquets de 8 octets, soit 64 bits . <\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Dans une base b, on utilise b symboles distincts pour repr\u00e9senter les nombres. La valeur de chaque symbole doit \u00eatre strictement inf\u00e9rieur \u00e0 b.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/09\/activite.png\" alt=\"\" class=\"wp-image-23\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Effectuer cette addition de deux nombres binaires cod\u00e9s sur 8 bits sans faire de conversion.V\u00e9rifier le r\u00e9sultat obtenu en effectuant les conversions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n&nbsp;&nbsp; (00110011)<sub>2<\/sub>+ (00011100)<sub>2<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recommencer avec cette nouvelle addition.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n(10110011)<sub>2<\/sub>+\n(01011100 )<sub>2<\/sub><\/p>\n\n\n\n<p class=\"has-white-color has-header-gradient-background-color has-text-color has-background wp-block-paragraph\"><strong>2)  Repr\u00e9sentation binaire d\u2019un entier relatif <\/strong><\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\"> Le compl\u00e9ment \u00e0 deux  est une technique qui consiste \u00e0 inverser tout les bits de la repr\u00e9sentation binaire d&rsquo;un nombre entier puis \u00e0 rajouter 1 pour obtenir la repr\u00e9sentation binaire de l&rsquo;entier relatif oppos\u00e9.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/09\/activite.png\" alt=\"\" class=\"wp-image-23\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ecrire 45 en binaire<\/li>\n\n\n\n<li>Inverser les bits<\/li>\n\n\n\n<li>Ajouter 1<\/li>\n\n\n\n<li>Additionner en binaire le nombre obtenu et son compl\u00e9ment \u00e0 2<\/li>\n\n\n\n<li>Conclure<\/li>\n<\/ul>\n\n\n\n<figure><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/bNTyHfTnqEU\" allowfullscreen=\"\" width=\"270\" height=\"157\"><\/iframe><\/figure>\n\n\n<p><span style=\"color: #ff0000;\">Avec la m\u00e9thode du compl\u00e9ment \u00e0 2 pour un codage sur n bits on dispose d&rsquo;une repr\u00e9sentations des entiers relatifs dans l&rsquo;intervalle [-2<sup>n-1<\/sup>,2<sup>n-1<\/sup>-1]<\/span><\/p>\n<p><span style=\"color: #ff0000;\">Ainsi sur 8 bits On dispose des repr\u00e9sentations des entiers compris entre -128 et 127<\/span><\/p>\n<p style=\"text-align: left;\"><span class=\"fontstyle0\">int\u00e9r\u00eat du compl\u00e9ment \u00e0 deux<br \/><\/span><span class=\"fontstyle0\">\u2022 <\/span><span class=\"fontstyle0\">le signe d\u2019un entier en machine est connu gr\u00e2ce \u00e0 son bit de poids fort<br \/><\/span><span class=\"fontstyle0\">\u2022 <\/span><span class=\"fontstyle0\">unicit\u00e9 de la repr\u00e9sentation de nombre compris entre <span style=\"color: #000000;\">-2<sup>n-1 <\/sup>et 2<sup>n-1<\/sup>-1<\/span><\/span><span class=\"fontstyle0\">\u00a0;<br \/><\/span><span class=\"fontstyle0\">\u2022 <\/span><span class=\"fontstyle0\">l\u2019addition des entiers relatifs en compl\u00e9ment \u00e0 deux utilise le m\u00eame<br \/>algorithme que pour les entiers naturels.<\/span><\/p>\n\n\n<div class=\"wp-block-esab-accordion accordion-b5ca69cb\" data-mode=\"global\"><div class=\"esab__container\">\n<div class=\"wp-block-esab-accordion-child\"><div class=\"esab__head\" role=\"button\" aria-expanded=\"false\"><div class=\"esab__heading_txt\"><p class=\"esab__heading_tag\">Repr\u00e9sentation des entiers de -127 \u00e0 128<\/p><\/div><div class=\"esab__icon\"><div class=\"esab__collapse\"> <svg version=\"1.2\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\"><path fill-rule=\"evenodd\" d=\"m3.5 20.5c-4.7-4.7-4.7-12.3 0-17 4.7-4.7 12.3-4.7 17 0 4.6 4.7 4.6 12.3 0 17-4.7 4.6-12.3 4.6-17 0zm0.9-0.9c4.2 4.2 11 4.2 15.2 0 4.2-4.2 4.2-11 0-15.2-4.2-4.3-11-4.3-15.2 0-4.3 4.2-4.3 11 0 15.2z\"><\/path><path d=\"m11.4 15.9v-3.3h-3.3c-0.3 0-0.6-0.3-0.6-0.6 0-0.4 0.3-0.6 0.6-0.6h3.3v-3.3c0-0.3 0.3-0.6 0.6-0.6 0.3 0 0.6 0.3 0.6 0.6v3.3h3.3c0.3 0 0.6 0.2 0.6 0.6q0 0.2-0.2 0.4-0.2 0.2-0.4 0.2h-3.3v3.3q0 0.2-0.2 0.4-0.2 0.2-0.4 0.2c-0.4 0-0.6-0.3-0.6-0.6z\"><\/path><\/svg> <\/div><div class=\"esab__expand\"> <svg version=\"1.2\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\"><path fill-rule=\"evenodd\" d=\"m12 24c-6.6 0-12-5.4-12-12 0-6.6 5.4-12 12-12 6.6 0 12 5.4 12 12 0 6.6-5.4 12-12 12zm10.6-12c0-5.9-4.7-10.6-10.6-10.6-5.9 0-10.6 4.7-10.6 10.6 0 5.9 4.7 10.6 10.6 10.6 5.9 0 10.6-4.7 10.6-10.6z\"><\/path><path d=\"m5.6 11.3h12.8v1.4h-12.8z\"><\/path><\/svg> <\/div><\/div><\/div><div class=\"esab__body\">\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"lua\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">| D\u00e9cimal | Binaire (8 bits) |\n|---------|-------------------|\n| -128    | 10000000          |\n| -127    | 10000001          |\n| -126    | 10000010          |\n| -125    | 10000011          |\n| -124    | 10000100          |\n| -123    | 10000101          |\n| -122    | 10000110          |\n| -121    | 10000111          |\n| -120    | 10001000          |\n| -119    | 10001001          |\n| -118    | 10001010          |\n| -117    | 10001011          |\n| -116    | 10001100          |\n| -115    | 10001101          |\n| -114    | 10001110          |\n| -113    | 10001111          |\n| -112    | 10010000          |\n| -111    | 10010001          |\n| -110    | 10010010          |\n| -109    | 10010011          |\n| -108    | 10010100          |\n| -107    | 10010101          |\n| -106    | 10010110          |\n| -105    | 10010111          |\n| -104    | 10011000          |\n| -103    | 10011001          |\n| -102    | 10011010          |\n| -101    | 10011011          |\n| -100    | 10011100          |\n| -99     | 10011101          |\n| -98     | 10011110          |\n| -97     | 10011111          |\n| -96     | 10100000          |\n| -95     | 10100001          |\n| -94     | 10100010          |\n| -93     | 10100011          |\n| -92     | 10100100          |\n| -91     | 10100101          |\n| -90     | 10100110          |\n| -89     | 10100111          |\n| -88     | 10101000          |\n| -87     | 10101001          |\n| -86     | 10101010          |\n| -85     | 10101011          |\n| -84     | 10101100          |\n| -83     | 10101101          |\n| -82     | 10101110          |\n| -81     | 10101111          |\n| -80     | 10110000          |\n| -79     | 10110001          |\n| -78     | 10110010          |\n| -77     | 10110011          |\n| -76     | 10110100          |\n| -75     | 10110101          |\n| -74     | 10110110          |\n| -73     | 10110111          |\n| -72     | 10111000          |\n| -71     | 10111001          |\n| -70     | 10111010          |\n| -69     | 10111011          |\n| -68     | 10111100          |\n| -67     | 10111101          |\n| -66     | 10111110          |\n| -65     | 10111111          |\n| -64     | 11000000          |\n| -63     | 11000001          |\n| -62     | 11000010          |\n| -61     | 11000011          |\n| -60     | 11000100          |\n| -59     | 11000101          |\n| -58     | 11000110          |\n| -57     | 11000111          |\n| -56     | 11001000          |\n| -55     | 11001001          |\n| -54     | 11001010          |\n| -53     | 11001011          |\n| -52     | 11001100          |\n| -51     | 11001101          |\n| -50     | 11001110          |\n| -49     | 11001111          |\n| -48     | 11010000          |\n| -47     | 11010001          |\n| -46     | 11010010          |\n| -45     | 11010011          |\n| -44     | 11010100          |\n| -43     | 11010101          |\n| -42     | 11010110          |\n| -41     | 11010111          |\n| -40     | 11011000          |\n| -39     | 11011001          |\n| -38     | 11011010          |\n| -37     | 11011011          |\n| -36     | 11011100          |\n| -35     | 11011101          |\n| -34     | 11011110          |\n| -33     | 11011111          |\n| -32     | 11100000          |\n| -31     | 11100001          |\n| -30     | 11100010          |\n| -29     | 11100011          |\n| -28     | 11100100          |\n| -27     | 11100101          |\n| -26     | 11100110          |\n| -25     | 11100111          |\n| -24     | 11101000          |\n| -23     | 11101001          |\n| -22     | 11101010          |\n| -21     | 11101011          |\n| -20     | 11101100          |\n| -19     | 11101101          |\n| -18     | 11101110          |\n| -17     | 11101111          |\n| -16     | 11110000          |\n| -15     | 11110001          |\n| -14     | 11110010          |\n| -13     | 11110011          |\n| -12     | 11110100          |\n| -11     | 11110101          |\n| -10     | 11110110          |\n| -9      | 11110111          |\n| -8      | 11111000          |\n| -7      | 11111001          |\n| -6      | 11111010          |\n| -5      | 11111011          |\n| -4      | 11111100          |\n| -3      | 11111101          |\n| -2      | 11111110          |\n| -1      | 11111111          |\n| 0       | 00000000          |\n| 1       | 00000001          |\n| 2       | 00000010          |\n| 3       | 00000011          |\n| 4       | 00000100          |\n| 5       | 00000101          |\n| 6       | 00000110          |\n| 7       | 00000111          |\n| 8       | 00001000          |\n| 9       | 00001001          |\n| 10      | 00001010          |\n| 11      | 00001011          |\n| 12      | 00001100          |\n| 13      | 00001101          |\n| 14      | 00001110          |\n| 15      | 00001111          |\n| 16      | 00010000          |\n| 17      | 00010001          |\n| 18      | 00010010          |\n| 19      | 00010011          |\n| 20      | 00010100          |\n| 21      | 00010101          |\n| 22      | 00010110          |\n| 23      | 00010111          |\n| 24      | 00011000          |\n| 25      | 00011001          |\n| 26      | 00011010          |\n| 27      | 00011011          |\n| 28      | 00011100          |\n| 29      | 00011101          |\n| 30      | 00011110          |\n| 31      | 00011111          |\n| 32      | 00100000          |\n| 33      | 00100001          |\n| 34      | 00100010          |\n| 35      | 00100011          |\n| 36      | 00100100          |\n| 37      | 00100101          |\n| 38      | 00100110          |\n| 39      | 00100111          |\n| 40      | 00101000          |\n| 41      | 00101001          |\n| 42      | 00101010          |\n| 43      | 00101011          |\n| 44      | 00101100          |\n| 45      | 00101101          |\n| 46      | 00101110          |\n| 47      | 00101111          |\n| 48      | 00110000          |\n| 49      | 00110001          |\n| 50      | 00110010          |\n| 51      | 00110011          |\n| 52      | 00110100          |\n| 53      | 00110101          |\n| 54      | 00110110          |\n| 55      | 00110111          |\n| 56      | 00111000          |\n| 57      | 00111001          |\n| 58      | 00111010          |\n| 59      | 00111011          |\n| 60      | 00111100          |\n| 61      | 00111101          |\n| 62      | 00111110          |\n| 63      | 00111111          |\n| 64      | 01000000          |\n| 65      | 01000001          |\n| 66      | 01000010          |\n| 67      | 01000011          |\n| 68      | 01000100          |\n| 69      | 01000101          |\n| 70      | 01000110          |\n| 71      | 01000111          |\n| 72      | 01001000          |\n| 73      | 01001001          |\n| 74      | 01001010          |\n| 75      | 01001011          |\n| 76      | 01001100          |\n| 77      | 01001101          |\n| 78      | 01001110          |\n| 79      | 01001111          |\n| 80      | 01010000          |\n| 81      | 01010001          |\n| 82      | 01010010          |\n| 83      | 01010011          |\n| 84      | 01010100          |\n| 85      | 01010101          |\n| 86      | 01010110          |\n| 87      | 01010111          |\n| 88      | 01011000          |\n| 89      | 01011001          |\n| 90      | 01011010          |\n| 91      | 01011011          |\n| 92      | 01011100          |\n| 93      | 01011101          |\n| 94      | 01011110          |\n| 95      | 01011111          |\n| 96      | 01100000          |\n| 97      | 01100001          |\n| 98      | 01100010          |\n| 99      | 01100011          |\n| 100     | 01100100          |\n| 101     | 01100101          |\n| 102     | 01100110          |\n| 103     | 01100111          |\n| 104     | 01101000          |\n| 105     | 01101001          |\n| 106     | 01101010          |\n| 107     | 01101011          |\n| 108     | 01101100          |\n| 109     | 01101101          |\n| 110     | 01101110          |\n| 111     | 01101111          |\n| 112     | 01110000          |\n| 113     | 01110001          |\n| 114     | 01110010          |\n| 115     | 01110011          |\n| 116     | 01110100          |\n| 117     | 01110101          |\n| 118     | 01110110          |\n| 119     | 01110111          |\n| 120     | 01111000          |\n| 121     | 01111001          |\n| 122     | 01111010          |\n| 123     | 01111011          |\n| 124     | 01111100          |\n| 125     | 01111101          |\n| 126     | 01111110          |\n| 127     | 01111111          |\n<\/pre>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-white-color has-header-gradient-background-color has-text-color has-background wp-block-paragraph\"><strong>3)   Repr\u00e9sentation approximative des nombres r\u00e9els <\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/2021\/nsi\/wp-content\/uploads\/2022\/01\/image.png\" alt=\"\" class=\"wp-image-380\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/2021\/nsi\/wp-content\/uploads\/2022\/01\/image-1.png\" alt=\"\" class=\"wp-image-385\"\/><\/figure>\n\n\n\n<figure><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/c9Hf4qTxdxs\" allowfullscreen=\"\" width=\"380\" height=\"207\"><\/iframe><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"> Un nombre r\u00e9el est constitu\u00e9 de deux parties : la partie enti\u00e8re et la partie fractionnelle ( les deux parties sont s\u00e9par\u00e9es par une virgule ) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> Il existe deux m\u00e9thodes pour repr\u00e9senter les nombre r\u00e9el : <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1) Virgule fixe ou la position de la virgule est fixe <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2) Virgule flottante : la position de la virgule change ( dynamique ) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la repr\u00e9sentation en virgule fixe les valeurs sont limit\u00e9es et nous n\u2019avons pas une grande pr\u00e9cision  .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En python les nombres r\u00e9els sont repr\u00e9sent\u00e9s par des nombres en virgule flottante de type float.<\/p>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color wp-block-paragraph\"><strong>Exercice<\/strong><\/p>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color wp-block-paragraph\">0.1+0.1 est il \u00e9gal \u00e0 0.2 ?<\/p>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color wp-block-paragraph\">0.2+0.1 est il \u00e9gal \u00e0 0.3 ?<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/miro.medium.com\/v2\/resize:fit:828\/format:webp\/1*kW4R375vprFG1udPtfXXEQ.jpeg\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color wp-block-paragraph\">Que dit python ?<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/10\/iee755-1.png\" alt=\"\" class=\"wp-image-460\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/yb-isn.fr\/nsi2019\/wp-content\/uploads\/2019\/09\/activite-1.png\" alt=\"\" class=\"wp-image-27\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u00e9crire -3,3125 , 1\/3 et 0,1  en binaire<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Regardez et essayez de comprendre  le corrig\u00e9 si vous voulez .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vous ne serez pas interrog\u00e9 dessus.<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-9014dae7-6b26-4132-8f68-d8f76cce42f2\" href=\"http:\/\/yb-isn.fr\/nsi-2020\/wp-content\/uploads\/2020\/12\/Nombre-1.pdf\">corrig\u00e9<\/a><a href=\"http:\/\/yb-isn.fr\/nsi-2020\/wp-content\/uploads\/2020\/12\/Nombre-1.pdf\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-9014dae7-6b26-4132-8f68-d8f76cce42f2\">T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-340","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/posts\/340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/comments?post=340"}],"version-history":[{"count":2,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/posts\/340\/revisions"}],"predecessor-version":[{"id":342,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/posts\/340\/revisions\/342"}],"wp:attachment":[{"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/media?parent=340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/categories?post=340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yb-isn.fr\/2025\/nsi\/wp-json\/wp\/v2\/tags?post=340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}