{"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

base 10 en base 2<\/p>\n\n\n\n

Exercices de Conversion D\u00e9cimal \u2192 Binaire<\/h1>\n\n\n\n

Exercice 73 un nombre Curieux (le nombre de Sheldon Cooper)<\/h2>\n\n\n\n

Convertir en 73 en binaire : <\/p>\n\n\n\n

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

73 en binaire :<\/summary>\n
\"\"<\/a><\/figure>\n\n\n\n

1001001<\/p>\n<\/details>\n\n\n\n

73 est bien le 21\u1d49 nombre premier<\/strong>.<\/p>\n\n\n\n

Petit bonus sympa : son miroir 37<\/strong> est le 12\u1d49<\/strong> premier \u2014 12 \u00e9tant le miroir de 21<\/p>\n\n\n\n

Exercices (\u00e0 compl\u00e9ter)<\/h2>\n\n\n\n
1. Convertis le nombre d\u00e9cimal 5 en binaire : __________<\/summary>\n

5 \u00f7 2 = 2 reste 1<\/strong>
2 \u00f7 2 = 1 reste 0<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 101<\/strong><\/p>\n\n\n\n

2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
0<\/td>0<\/td>1<\/td>0<\/td>1<\/td><\/tr>
Binaire : 101<\/strong><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n<\/details>\n\n\n\n

2. Convertis le nombre d\u00e9cimal 12 en binaire : __________<\/summary>\n

12 \u00f7 2 = 6 reste 0<\/strong>
6 \u00f7 2 = 3 reste 0<\/strong>
3 \u00f7 2 = 1 reste 1<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 1100<\/strong><\/p>\n\n\n\n

2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
0<\/td>1<\/td>1<\/td>0<\/td>0<\/td><\/tr>
Binaire : 1100<\/strong><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
3. Convertis le nombre d\u00e9cimal 23 en binaire : __________<\/summary>\n

23 \u00f7 2 = 11 reste 1<\/strong>
11 \u00f7 2 = 5 reste 1<\/strong>
5 \u00f7 2 = 2 reste 1<\/strong>
2 \u00f7 2 = 1 reste 0<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 10111<\/strong><\/p>\n\n\n\n

Position (bit)<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
Valeur binaire<\/td>1<\/td>0<\/td>1<\/td>1<\/td>1<\/td><\/tr>
Calcul<\/td>1\u00d716<\/td>0\u00d78<\/td>1\u00d74<\/td>1\u00d72<\/td>1\u00d71<\/td><\/tr>
R\u00e9sultat<\/td>16<\/td>0<\/td>4<\/td>2<\/td>1 \u2192 23<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

<\/p>\n<\/details>\n\n\n\n

4. Convertis le nombre d\u00e9cimal 45 en binaire : __________<\/summary>\n

45 \u00f7 2 = 22 reste 1<\/strong>
22 \u00f7 2 = 11 reste 0<\/strong>
11 \u00f7 2 = 5 reste 1<\/strong>
5 \u00f7 2 = 2 reste 1<\/strong>
2 \u00f7 2 = 1 reste 0<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 101101<\/strong><\/p>\n\n\n\n

2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>0<\/td>1<\/td>1<\/td>0<\/td>1<\/td><\/tr>
Binaire : 101101<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
5. Convertis le nombre d\u00e9cimal 64 en binaire : __________<\/summary>\n

64 \u00f7 2 = 32 reste 0<\/strong>
32 \u00f7 2 = 16 reste 0<\/strong>
16 \u00f7 2 = 8 reste 0<\/strong>
8 \u00f7 2 = 4 reste 0<\/strong>
4 \u00f7 2 = 2 reste 0<\/strong>
2 \u00f7 2 = 1 reste 0<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 1000000<\/strong><\/p>\n\n\n\n

2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>0<\/td>0<\/td>0<\/td>0<\/td>0<\/td>0<\/td><\/tr>
Binaire : 1000000<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
6. Convertis le nombre d\u00e9cimal 100 en binaire : __________<\/summary>\n

100 \u00f7 2 = 50 reste 0<\/strong>
50 \u00f7 2 = 25 reste 0<\/strong>
25 \u00f7 2 = 12 reste 1<\/strong>
12 \u00f7 2 = 6 reste 0<\/strong>
6 \u00f7 2 = 3 reste 0<\/strong>
3 \u00f7 2 = 1 reste 1<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 1100100<\/strong><\/p>\n\n\n\n

2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>1<\/td>0<\/td>0<\/td>1<\/td>0<\/td>0<\/td><\/tr>
Binaire : 1100100<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
7. Convertis le nombre d\u00e9cimal 127 en binaire : __________<\/summary>\n

C\u2019est le plus grand nombre repr\u00e9sentable sur 7 bits.
\u2192 R\u00e9sultat : 1111111<\/strong><\/p>\n\n\n\n

2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>1<\/td>1<\/td>1<\/td>1<\/td>1<\/td>1<\/td><\/tr>
Binaire : 1111111<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
8. Convertis le nombre d\u00e9cimal 156 en binaire : __________<\/summary>\n

156 \u00f7 2 = 78 reste 0<\/strong>
78 \u00f7 2 = 39 reste 0<\/strong>
39 \u00f7 2 = 19 reste 1<\/strong>
19 \u00f7 2 = 9 reste 1<\/strong>
9 \u00f7 2 = 4 reste 1<\/strong>
4 \u00f7 2 = 2 reste 0<\/strong>
2 \u00f7 2 = 1 reste 0<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 10011100<\/strong><\/p>\n\n\n\n

2\u2077<\/th>2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>0<\/td>0<\/td>1<\/td>1<\/td>1<\/td>0<\/td>0<\/td><\/tr>
Binaire : 10011100<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
9. Convertis le nombre d\u00e9cimal 200 en binaire : __________<\/summary>\n

200 \u00f7 2 = 100 reste 0<\/strong>
100 \u00f7 2 = 50 reste 0<\/strong>
50 \u00f7 2 = 25 reste 0<\/strong>
25 \u00f7 2 = 12 reste 1<\/strong>
12 \u00f7 2 = 6 reste 0<\/strong>
6 \u00f7 2 = 3 reste 0<\/strong>
3 \u00f7 2 = 1 reste 1<\/strong>
1 \u00f7 2 = 0 reste 1<\/strong>
\u2192 R\u00e9sultat : 11001000<\/strong><\/p>\n\n\n\n

2\u2077<\/th>2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>1<\/td>0<\/td>0<\/td>1<\/td>0<\/td>0<\/td>0<\/td><\/tr>
Binaire : 11001000<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n\n\n\n
10. Convertis le nombre d\u00e9cimal 255 en binaire : __________<\/summary>\n

C\u2019est le plus grand nombre repr\u00e9sentable sur 8 bits.
\u2192 R\u00e9sultat : 11111111<\/strong><\/p>\n\n\n\n

2\u2077<\/th>2\u2076<\/th>2\u2075<\/th>2\u2074<\/th>2\u00b3<\/th>2\u00b2<\/th>2\u00b9<\/th>2\u2070<\/th><\/tr><\/thead>
1<\/td>1<\/td>1<\/td>1<\/td>1<\/td>1<\/td>1<\/td>1<\/td><\/tr>
Binaire : 11111111<\/strong><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n<\/details>\n","protected":false},"excerpt":{"rendered":"

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 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_crdt_document":"","_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-1205","page","type-page","status-publish","hentry"],"yoast_head":"\nD\u00e9cimal -> binaire - workboot<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/workboot.fr\/ciela\/decimale-binaire\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"D\u00e9cimal -> binaire - workboot\" \/>\n<meta property=\"og:description\" content=\"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 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/workboot.fr\/ciela\/decimale-binaire\/\" \/>\n<meta property=\"og:site_name\" content=\"workboot\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-22T16:59:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/workboot.fr\/ciela\/wp-content\/uploads\/2025\/08\/sheldon_number.png\" \/>\n\t<meta property=\"og:image:width\" content=\"683\" \/>\n\t<meta property=\"og:image:height\" content=\"1024\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/workboot.fr\\\/ciela\\\/decimale-binaire\\\/\",\"url\":\"https:\\\/\\\/workboot.fr\\\/ciela\\\/decimale-binaire\\\/\",\"name\":\"D\u00e9cimal -> binaire - 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