{"id":1205,"date":"2025-06-05T13:11:21","date_gmt":"2025-06-05T12:11:21","guid":{"rendered":"https:\/\/workboot.fr\/ciela\/?page_id=1205"},"modified":"2025-08-22T17:59:49","modified_gmt":"2025-08-22T16:59:49","slug":"decimale-binaire","status":"publish","type":"page","link":"https:\/\/workboot.fr\/ciela\/decimale-binaire\/","title":{"rendered":"D\u00e9cimal ->  binaire"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">base 10 en base 2<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">Exercices de Conversion D\u00e9cimal \u2192 Binaire<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Exercice 73 un nombre Curieux (le nombre de Sheldon Cooper)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Convertir en 73 en binaire : <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On dit que 73 est un palindrome en binaire !  en octal aussi , par contre le caract\u00e8re I en ASCII (hexa)<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>73 en binaire :<\/summary>\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/08\/sheldon_number.png\"><img decoding=\"async\" width=\"1024\" height=\"1536\" fetchpriority=\"low\" src=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/08\/sheldon_number.png\" alt=\"\" class=\"wp-image-3765\" srcset=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/08\/sheldon_number.png 1024w, https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/08\/sheldon_number-200x300.png 200w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">1001001<\/p>\n<\/details>\n\n\n\n<p class=\"wp-block-paragraph\">73 est bien <strong>le 21\u1d49 nombre premier<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petit bonus sympa : son miroir <strong>37<\/strong> est le <strong>12\u1d49<\/strong> premier \u2014 12 \u00e9tant le miroir de 21<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Exercices (\u00e0 compl\u00e9ter)<\/h2>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>1. Convertis le nombre d\u00e9cimal 5 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">5 \u00f7 2 = 2 reste <strong>1<\/strong><br>2 \u00f7 2 = 1 reste <strong>0<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 101<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>0<\/td><td>0<\/td><td>1<\/td><td>0<\/td><td>1<\/td><\/tr><tr><td><strong>Binaire : 101<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>2. Convertis le nombre d\u00e9cimal 12 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">12 \u00f7 2 = 6 reste <strong>0<\/strong><br>6 \u00f7 2 = 3 reste <strong>0<\/strong><br>3 \u00f7 2 = 1 reste <strong>1<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 1100<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>0<\/td><td>1<\/td><td>1<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td><strong>Binaire : 1100<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>3. Convertis le nombre d\u00e9cimal 23 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">23 \u00f7 2 = 11 reste <strong>1<\/strong><br>11 \u00f7 2 = 5 reste <strong>1<\/strong><br>5 \u00f7 2 = 2 reste <strong>1<\/strong><br>2 \u00f7 2 = 1 reste <strong>0<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 10111<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Position (bit)<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>Valeur binaire<\/td><td>1<\/td><td>0<\/td><td>1<\/td><td>1<\/td><td>1<\/td><\/tr><tr><td>Calcul<\/td><td>1\u00d716<\/td><td>0\u00d78<\/td><td>1\u00d74<\/td><td>1\u00d72<\/td><td>1\u00d71<\/td><\/tr><tr><td>R\u00e9sultat<\/td><td>16<\/td><td>0<\/td><td>4<\/td><td>2<\/td><td>1 \u2192 <strong>23<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>4. Convertis le nombre d\u00e9cimal 45 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">45 \u00f7 2 = 22 reste <strong>1<\/strong><br>22 \u00f7 2 = 11 reste <strong>0<\/strong><br>11 \u00f7 2 = 5 reste <strong>1<\/strong><br>5 \u00f7 2 = 2 reste <strong>1<\/strong><br>2 \u00f7 2 = 1 reste <strong>0<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 101101<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>0<\/td><td>1<\/td><td>1<\/td><td>0<\/td><td>1<\/td><\/tr><tr><td><strong>Binaire : 101101<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>5. Convertis le nombre d\u00e9cimal 64 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">64 \u00f7 2 = 32 reste <strong>0<\/strong><br>32 \u00f7 2 = 16 reste <strong>0<\/strong><br>16 \u00f7 2 = 8 reste <strong>0<\/strong><br>8 \u00f7 2 = 4 reste <strong>0<\/strong><br>4 \u00f7 2 = 2 reste <strong>0<\/strong><br>2 \u00f7 2 = 1 reste <strong>0<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 1000000<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>0<\/td><td>0<\/td><td>0<\/td><td>0<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td><strong>Binaire : 1000000<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>6. Convertis le nombre d\u00e9cimal 100 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">100 \u00f7 2 = 50 reste <strong>0<\/strong><br>50 \u00f7 2 = 25 reste <strong>0<\/strong><br>25 \u00f7 2 = 12 reste <strong>1<\/strong><br>12 \u00f7 2 = 6 reste <strong>0<\/strong><br>6 \u00f7 2 = 3 reste <strong>0<\/strong><br>3 \u00f7 2 = 1 reste <strong>1<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 1100100<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>1<\/td><td>0<\/td><td>0<\/td><td>1<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td><strong>Binaire : 1100100<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>7. Convertis le nombre d\u00e9cimal 127 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">C\u2019est le plus grand nombre repr\u00e9sentable sur 7 bits.<br><strong>\u2192 R\u00e9sultat : 1111111<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><\/tr><tr><td><strong>Binaire : 1111111<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>8. Convertis le nombre d\u00e9cimal 156 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">156 \u00f7 2 = 78 reste <strong>0<\/strong><br>78 \u00f7 2 = 39 reste <strong>0<\/strong><br>39 \u00f7 2 = 19 reste <strong>1<\/strong><br>19 \u00f7 2 = 9 reste <strong>1<\/strong><br>9 \u00f7 2 = 4 reste <strong>1<\/strong><br>4 \u00f7 2 = 2 reste <strong>0<\/strong><br>2 \u00f7 2 = 1 reste <strong>0<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 10011100<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2077<\/th><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>0<\/td><td>0<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td><strong>Binaire : 10011100<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>9. Convertis le nombre d\u00e9cimal 200 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">200 \u00f7 2 = 100 reste <strong>0<\/strong><br>100 \u00f7 2 = 50 reste <strong>0<\/strong><br>50 \u00f7 2 = 25 reste <strong>0<\/strong><br>25 \u00f7 2 = 12 reste <strong>1<\/strong><br>12 \u00f7 2 = 6 reste <strong>0<\/strong><br>6 \u00f7 2 = 3 reste <strong>0<\/strong><br>3 \u00f7 2 = 1 reste <strong>1<\/strong><br>1 \u00f7 2 = 0 reste <strong>1<\/strong><br><strong>\u2192 R\u00e9sultat : 11001000<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2077<\/th><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>1<\/td><td>0<\/td><td>0<\/td><td>1<\/td><td>0<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td><strong>Binaire : 11001000<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>10. Convertis le nombre d\u00e9cimal 255 en binaire : __________<\/summary>\n<p class=\"wp-block-paragraph\">C\u2019est le plus grand nombre repr\u00e9sentable sur 8 bits.<br><strong>\u2192 R\u00e9sultat : 11111111<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>2\u2077<\/th><th>2\u2076<\/th><th>2\u2075<\/th><th>2\u2074<\/th><th>2\u00b3<\/th><th>2\u00b2<\/th><th>2\u00b9<\/th><th>2\u2070<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><td>1<\/td><\/tr><tr><td><strong>Binaire : 11111111<\/strong><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>base 10 en base 2 Exercices de Conversion D\u00e9cimal \u2192 Binaire Exercice 73 un nombre Curieux (le nombre de Sheldon Cooper) Convertir en 73 en binaire : On dit que 73 est un palindrome en binaire ! en octal aussi , par contre le caract\u00e8re I en ASCII (hexa) 73 est bien le 21\u1d49 nombre [&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-1205","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":"base 10 en base 2 Exercices de Conversion D\u00e9cimal \u2192 Binaire Exercice 73 un nombre Curieux (le nombre de Sheldon Cooper) Convertir en 73 en binaire : On dit que 73 est un palindrome en binaire ! en octal aussi , par contre le caract\u00e8re I en ASCII (hexa) 73 est bien le 21\u1d49 nombre\u2026","_links":{"self":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/1205","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=1205"}],"version-history":[{"count":7,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/1205\/revisions"}],"predecessor-version":[{"id":3767,"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/pages\/1205\/revisions\/3767"}],"wp:attachment":[{"href":"https:\/\/workboot.fr\/ciela\/wp-json\/wp\/v2\/media?parent=1205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}