{"id":22967,"date":"2019-10-09T18:36:43","date_gmt":"2019-10-09T16:36:43","guid":{"rendered":"http:\/\/www.valcon.it\/math\/?p=22967"},"modified":"2025-10-25T13:06:11","modified_gmt":"2025-10-25T11:06:11","slug":"da-base-10-a-base-2-8-16","status":"publish","type":"post","link":"https:\/\/www.valcon.it\/pp\/da-base-10-a-base-2-8-16\/","title":{"rendered":"Da base 10 a base 2, 8, 16"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.valcon.it\/pp\/foglio\/\">Foglio di calcolo<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.valcon.it\/pp\/sistemi-di-numerazione\/\">Sistemi di numerazione<\/a><\/div>\n<\/div>\n\n\n\n<p><em>Libro di testo: pag. 9<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Da base 10 a base 2<\/h2>\n\n\n\n<p>Divisioni intere per <strong>2<\/strong> successive finch\u00e9 non si ottiene <strong>quoziente<\/strong>=<strong>0<\/strong>.<br>La conversione \u00e8 data dai resti delle divisioni (dall&#8217;ultimo al primo).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>100<\/strong>)<sub>10<\/sub> = (?)<sub>2<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd>+-------+----+---+<br>|&nbsp; &nbsp;N:2 |&nbsp; Q | R |<br>+-------+----+---+<br>| 100:2 | 50 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<br>|&nbsp; 50:2 | 25 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<br>|&nbsp; 25:2 | 12 | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<br><kbd>|&nbsp; 12:2 |&nbsp; 6 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<\/kbd><br><kbd>|&nbsp;&nbsp; 6:2 |&nbsp; 3 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<\/kbd><br><kbd>|&nbsp;&nbsp; 3:2 |&nbsp; 1 | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<\/kbd><br><kbd>|&nbsp;&nbsp; 1:2 |&nbsp; <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<\/kbd><br>+-------+----+---+<\/kbd><\/p>\n\n\n\n<p>(100)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>1100100<\/strong><\/span>)<sub>2<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"544\" height=\"245\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/q-100-2-1.png\" alt=\"\" class=\"wp-image-41745\" srcset=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/q-100-2-1.png 544w, https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/q-100-2-1-300x135.png 300w\" sizes=\"auto, (max-width: 544px) 100vw, 544px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>250<\/strong>)<sub>10<\/sub> = (?)<sub>2<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd>+-------+----+---+<br>|&nbsp; &nbsp;N:2 |&nbsp; Q | R |<br>+-------+----+---+<br>| 100:2 | 50 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<br>|&nbsp; 50:2 | 25 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<br>|&nbsp; 25:2 | 12 | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<br><kbd>|&nbsp; 12:2 |&nbsp; 6 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<\/kbd><br><kbd>|&nbsp;&nbsp; 6:2 |&nbsp; 3 | <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> |<\/kbd><br><kbd>|&nbsp;&nbsp; 3:2 |&nbsp; 1 | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<\/kbd><br><kbd>|&nbsp;&nbsp; 1:2 |&nbsp; <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span>&nbsp;|<\/kbd><br>+-------+----+---+<\/kbd><\/p>\n\n\n\n<p>(250)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>11111010<\/strong><\/span>)<sub>2<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"285\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-250-2.png\" alt=\"\" class=\"wp-image-41740\" srcset=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-250-2.png 590w, https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-250-2-300x145.png 300w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>La procedura per la conversione in base 2 \u00e8 molto semplice, puoi calcolare direttamente i quozienti e i resti&#8230;<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"106\" height=\"253\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-100-2-2-1.png\" alt=\"\" class=\"wp-image-41747\"\/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"106\" height=\"274\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-250-2-2.png\" alt=\"\" class=\"wp-image-41736\"\/><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Da base 10 a base 8<\/h2>\n\n\n\n<p>Divisioni intere per <strong>8<\/strong> successive finch\u00e9 non si ottiene <strong>quoziente<\/strong>=<strong>0<\/strong>.<br>La conversione \u00e8 data dai resti delle divisioni (dall&#8217;ultimo al primo).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>100<\/strong>)<sub>10<\/sub> = (?)<sub>8<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd><kbd>+-------+----+---+<\/kbd><br>|&nbsp; &nbsp;N:8 |&nbsp; Q | R |<br>+-------+----+---+<br>| 100:8 | 12 | <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> |<br>|&nbsp; 12:8 |&nbsp; 1 | <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> |<br>|&nbsp; &nbsp;1:8 |&nbsp; <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span> |<br><kbd>+-------+----+---+<\/kbd><\/kbd><\/p>\n\n\n\n<p>(100)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>144<\/strong><\/span>)<sub>8<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/www.valcon.it\/math\/wp-content\/uploads\/t-100-8.png\" alt=\"\" class=\"wp-image-24273\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>250<\/strong>)<sub>10<\/sub> = (?)<sub>8<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd>+-------+----+---+<br>|&nbsp; &nbsp;N:8 |&nbsp; Q | R |<br>+-------+----+---+<br>| 250:8 | 31 | <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span> |<br>|&nbsp; 31:8 |&nbsp; 3 | <span style=\"color: #ff0000;\"><strong>7<\/strong><\/span> |<br>|&nbsp; &nbsp;3:8 |&nbsp; <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>3<\/strong><\/span> |<br>+-------+----+---+<\/kbd><\/p>\n\n\n\n<p>(250)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>372<\/strong><\/span>)<sub>8<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"http:\/\/www.valcon.it\/math\/wp-content\/uploads\/t-250-8.png\" alt=\"\" class=\"wp-image-24289\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Da base 10 a base 16<\/h2>\n\n\n\n<p>Divisioni intere per <strong>16<\/strong> successive finch\u00e9 non si ottiene <strong>quoziente<\/strong>=<strong>0<\/strong>.<br>La conversione \u00e8 data dai resti delle divisioni (dall&#8217;ultimo al primo).<\/p>\n\n\n\n<p><span style=\"color: #ff0000;\">Un resto <strong>\u2265 10<\/strong> diventa una lettera: <strong>A<\/strong>, <strong>B<\/strong>, <strong>C<\/strong>, <strong>D<\/strong>, <strong>E<\/strong>, <strong>F<\/strong>.<\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>100<\/strong>)<sub>10<\/sub> = (?)<sub>H<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd><kbd>+--------+---+---+<\/kbd><br>|&nbsp; &nbsp;N:16 | Q | R |<br>+--------+---+---+<br>| 100:16 | 6 | <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> |<br>|&nbsp; &nbsp;6:16 | <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>6<\/strong><\/span>&nbsp;|<br><kbd>+--------+---+---+<\/kbd><\/kbd><\/p>\n\n\n\n<p>(100)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>64<\/strong><\/span>)<sub>H<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"272\" height=\"101\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-100-16.png\" alt=\"\" class=\"wp-image-41723\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">(<strong>250<\/strong>)<sub>10<\/sub> = (?)<sub>H<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p><kbd><kbd>+--------+----+----+----+<\/kbd><br>|&nbsp; &nbsp;N:16 |&nbsp; Q |&nbsp; R | R' |<br>+--------+----+----+----+<br>| 250:16 | 15 | <span style=\"color: #ff0000;\"><strong>10<\/strong><\/span> |&nbsp; <span style=\"color: #ff0000;\"><strong>A<\/strong><\/span> |<br>|&nbsp; 15:16 |&nbsp; <span style=\"color: #000080;\"><strong>0<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>15<\/strong><\/span> |&nbsp; <span style=\"color: #ff0000;\"><strong>F<\/strong><\/span> |<br><kbd>+--------+----+----+----+<\/kbd><\/kbd><\/p>\n\n\n\n<p>(250)<sub>10<\/sub> = (<span style=\"color: #ff0000;\"><strong>FA<\/strong><\/span>)<sub>H<\/sub><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"289\" height=\"144\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/t-250-16.png\" alt=\"\" class=\"wp-image-41739\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"96\" height=\"96\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/uploads\/sheets.png\" alt=\"\" class=\"wp-image-41714\"\/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">Foglio di calcolo<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>BASE(250, <strong>2<\/strong>) -&gt; <span style=\"color: #ff0000;\"><strong>11111010<\/strong><\/span><\/li>\n\n\n\n<li>BASE(250, <strong>2<\/strong>, 16) -&gt; <span style=\"color: #ff0000;\"><strong>0000000011111010<\/strong><\/span><\/li>\n\n\n\n<li>BASE(250, <strong>8<\/strong>) -&gt; <span style=\"color: #ff0000;\"><strong>372<\/strong><\/span><\/li>\n\n\n\n<li>BASE(250, <strong>8<\/strong>, 4) -&gt; <span style=\"color: #ff0000;\"><strong>0372<\/strong><\/span><\/li>\n\n\n\n<li>BASE(250, <strong>16<\/strong>) -&gt; <span style=\"color: #ff0000;\"><strong>FA<\/strong><\/span><\/li>\n\n\n\n<li>BASE(250, <strong>16<\/strong>, 4) -&gt; <span style=\"color: #ff0000;\"><strong>00FA<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>BINARIO<\/strong>(250) -&gt; <span style=\"color: #ff0000;\"><strong>11111010<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>BINARIO<\/strong>(250, 16) -&gt; <span style=\"color: #ff0000;\"><strong>0000000011111010<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>HEX<\/strong>(250) -&gt; <span style=\"color: #ff0000;\"><strong>FA<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>HEX<\/strong>(250, 4) -&gt; <span style=\"color: #ff0000;\"><strong>00FA<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>OCT<\/strong>(250) -&gt; <span style=\"color: #ff0000;\"><strong>372<\/strong><\/span><\/li>\n\n\n\n<li>DECIMALE.<strong>OCT<\/strong>(100, 4) -&gt; <span style=\"color: #ff0000;\"><strong>0372<\/strong><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Libro di testo: pag. 9 Da base 10 a base 2 Divisioni intere per 2 successive finch\u00e9 non si ottiene quoziente=0.La conversione \u00e8 data dai resti delle divisioni (dall&#8217;ultimo al primo). (100)10 = (?)2 +&#8212;&#8212;-+&#8212;-+&#8212;+|&nbsp; &nbsp;N:2 |&nbsp; Q | R |+&#8212;&#8212;-+&#8212;-+&#8212;+| 100:2 | 50 | 0 ||&nbsp; 50:2 | 25 | 0 ||&nbsp; 25:2 | &#8230; <a title=\"Da base 10 a base 2, 8, 16\" class=\"read-more\" href=\"https:\/\/www.valcon.it\/pp\/da-base-10-a-base-2-8-16\/\" aria-label=\"Per saperne di pi\u00f9 su Da base 10 a base 2, 8, 16\">Leggi tutto<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[114,117],"tags":[],"class_list":["post-22967","post","type-post","status-publish","format-standard","hentry","category-calcolo","category-foglio"],"_links":{"self":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/22967","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/comments?post=22967"}],"version-history":[{"count":23,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/22967\/revisions"}],"predecessor-version":[{"id":59917,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/22967\/revisions\/59917"}],"wp:attachment":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/media?parent=22967"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/categories?post=22967"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/tags?post=22967"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}