{"id":7993,"date":"2013-08-15T20:37:19","date_gmt":"2013-08-15T23:37:19","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=7993"},"modified":"2023-01-21T23:26:52","modified_gmt":"2023-01-22T02:26:52","slug":"problema-outras-bases-de-numeracao","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/problema-outras-bases-de-numeracao\/","title":{"rendered":".Problema: Outras bases de numera\u00e7\u00e3o"},"content":{"rendered":"<div style=\"border: 3px solid #800000; padding: 8px;text-align: justify; font-family: verdana; color: #616161; line-height: 22px;\"\">\n<p class=\"tit\" style=\"line-height:25px;margin:10px\"><strong>Problema<br \/>\n<span style=\"font-size:12px;color:#800000\"> (Indicado a partir do 6\u00ba ano do E. F.)<\/span><\/strong><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 30px;border: 0 none\"\/>\n<ul>\n<li> Assista ao v\u00eddeo sobre bases de numera\u00e7\u00e3o dispon\u00edvel na nossa Videoteca,  clicando <a href=\"http:\/\/clubes.obmep.org.br\/blog\/video-p12\/\" target=\"_blank\"><strong>AQUI<\/strong><\/a>.<\/li>\n<li>Agora, escreva na base [tex]2[\/tex] os n\u00fameros que na base [tex]10[\/tex] s\u00e3o escritos como  [tex]74[\/tex] e [tex]123[\/tex]. A seguir, efetue a soma desses n\u00fameros na base [tex]2[\/tex].<\/li>\n<\/ul>\n<\/div>\n<p>&nbsp;<\/p>\n<div style=\"border: 3px  solid  #800000; padding: 8px;\">\n<p class=\"tit\" style=\"line-height:25px;margin:10px\"><strong>Solu\u00e7\u00e3o <\/strong><\/span><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\n<p style=\"text-align: justify; padding-left: 12px;\"><span style=\"font-family: verdana; color: #616161; line-height: 20px;\"> Ap\u00f3s realizar as m\u00faltiplas divis\u00f5es por [tex]2[\/tex], os respectivos restos nos permitem escrever os n\u00fameros [tex]74[\/tex] e [tex]123 [\/tex] na base [tex]2[\/tex].<br \/>\nObservem as divis\u00f5es:<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1.jpg\" style=\"border: 0px;\" alt=\"figura 1\" width=\"641\" height=\"191\" class=\"aligncenter size-full wp-image-8002\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1.jpg 641w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1-300x89.jpg 300w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1.1.jpg\" style=\"border: 0px;\" alt=\"figura 1.1\" width=\"633\" height=\"184\" class=\"aligncenter size-full wp-image-8004\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1.1.jpg 633w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-1.1-300x87.jpg 300w\" sizes=\"auto, (max-width: 633px) 100vw, 633px\" \/><br \/>\nPortanto, temos que [tex]~\\boxed{(74)_{10} = (1001010)_2~}~[\/tex] e [tex]~\\boxed{(123)_{10} = (1111011)_2~}.[\/tex]<br \/>\n&nbsp;<br \/>\nRealizando a soma indicada a seguir,<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-2.jpg\" style=\"border: 0px;\" alt=\"figura 2\" width=\"371\" height=\"132\" class=\"aligncenter size-full wp-image-8006\" srcset=\"https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-2.jpg 371w, https:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/08\/figura-2-300x106.jpg 300w\" sizes=\"auto, (max-width: 371px) 100vw, 371px\" \/><br \/>\nconclu\u00edmos que [tex]\\,\\fcolorbox{black}{#eee0e5}{$(1001010)_2 + (1111011)_2 = (11000101)_{2}$}\\,.[\/tex] <\/span><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 15px;border: 0 none\"\/>\n<p class=\"g2\" style=\"line-height:20px;\">Solu\u00e7\u00e3o elaborada pelos Moderadores do Blog<\/strong>.<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":179,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-7993","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/7993","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/179"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=7993"}],"version-history":[{"count":35,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/7993\/revisions"}],"predecessor-version":[{"id":15204,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/7993\/revisions\/15204"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=7993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}