{"id":18269,"date":"2024-12-04T10:02:28","date_gmt":"2024-12-04T13:02:28","guid":{"rendered":"https:\/\/hangarmma.com.br\/blog\/?post_type=glossary&#038;p=18269"},"modified":"2024-12-04T10:02:29","modified_gmt":"2024-12-04T13:02:29","slug":"sistema-de-codificacao-binaria-decimal","status":"publish","type":"glossary","link":"https:\/\/hangarmma.com.br\/blog\/sistema-de-codificacao-binaria-decimal\/","title":{"rendered":"Sistema de Codifica\u00e7\u00e3o Bin\u00e1ria Decimal"},"content":{"rendered":"<p class=\"wp-block-paragraph\">O <strong>sistema de <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_3e4543ae49fb056bf3ea103c8e31ad3a\" data-link=\"https:\/\/hangarmma.com.br\/blog\/codificacao-binaria-decimal-bcd\/\" href=\"https:\/\/hangarmma.com.br\/blog\/codificacao-binaria-decimal-bcd\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">codifica&#xE7;&#xE3;o bin&#xE1;ria decimal (BCD)<\/a><\/strong> &#xE9; um m&#xE9;todo de representa&#xE7;&#xE3;o de n&#xFA;meros decimais no qual cada d&#xED;gito do n&#xFA;mero decimal &#xE9; convertido para sua forma equivalente em bin&#xE1;rio, utilizando exatamente <strong>4 bits<\/strong>. Esse sistema &#xE9; amplamente utilizado em dispositivos eletr&#xF4;nicos, sistemas de computador e equipamentos que lidam com interfaces homem-m&#xE1;quina, como displays digitais.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Principais Caracter&#xED;sticas do Sistema BCD:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Representa&#xE7;&#xE3;o em grupos de 4 bits<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Cada d&#xED;gito decimal (de 0 a 9) &#xE9; convertido para um valor bin&#xE1;rio de 4 bits.<\/li>\n\n\n\n<li>Exemplo:\n<ul class=\"wp-block-list\">\n<li>Decimal 0 &#x2192; BCD 0000<\/li>\n\n\n\n<li>Decimal 9 &#x2192; BCD 1001<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Utiliza&#xE7;&#xE3;o simples para interface com sistemas digitais<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Permite que n&#xFA;meros decimais sejam facilmente convertidos e exibidos sem necessidade de c&#xE1;lculos complexos, como seria o caso em <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_3aae2c6465ca8bf8f983d2dab5201fde\" data-link=\"https:\/\/hangarmma.com.br\/blog\/numeros-binarios\/\" href=\"https:\/\/hangarmma.com.br\/blog\/numeros-binarios\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">n&#xFA;meros bin&#xE1;rios<\/a> puros.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Desperd&#xED;cio de bits<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Como 4 bits podem representar at&#xE9; 16 combina&#xE7;&#xF5;es (0 a 15), mas o BCD s&#xF3; utiliza as combina&#xE7;&#xF5;es necess&#xE1;rias para os d&#xED;gitos decimais (0 a 9), h&#xE1; <strong>6 combina&#xE7;&#xF5;es n&#xE3;o utilizadas<\/strong> (1010 a 1111).<\/li>\n\n\n\n<li>Esses valores podem ser aproveitados para outros fins, como codifica&#xE7;&#xE3;o de s&#xED;mbolos ou comandos espec&#xED;ficos.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Convers&#xE3;o direta entre decimal e BCD<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Um n&#xFA;mero decimal completo &#xE9; representado unindo as representa&#xE7;&#xF5;es BCD de cada d&#xED;gito.<\/li>\n\n\n\n<li>Exemplo:\n<ul class=\"wp-block-list\">\n<li>Decimal 58 &#x2192; BCD:\n<ul class=\"wp-block-list\">\n<li>5 &#x2192; 0101<\/li>\n\n\n\n<li>8 &#x2192; 1000<\/li>\n\n\n\n<li>Resultado final: 0101 1000<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Limita&#xE7;&#xF5;es<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>Ineficiente em armazenamento<\/strong>: Para representar n&#xFA;meros grandes, o BCD requer mais espa&#xE7;o que o bin&#xE1;rio puro, porque cada d&#xED;gito decimal exige 4 bits.<\/li>\n\n\n\n<li><strong>Opera&#xE7;&#xF5;es matem&#xE1;ticas<\/strong>: Soma, subtra&#xE7;&#xE3;o, <a class=\"glossaryLink\" aria-describedby=\"tt\" data-cmtooltip=\"cmtt_88968e03fcdeeb34634f137a10423dcc\" data-link=\"https:\/\/hangarmma.com.br\/blog\/multiplicacao\/\" href=\"https:\/\/hangarmma.com.br\/blog\/multiplicacao\/\" target=\"_blank\" data-mobile-support=\"0\" data-gt-translate-attributes='[{\"attribute\":\"data-cmtooltip\", \"format\":\"html\"}]' tabindex=\"0\" role=\"link\">multiplica&#xE7;&#xE3;o<\/a> e divis&#xE3;o requerem regras espec&#xED;ficas para converter e ajustar os resultados.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h3 class=\"wp-block-heading\">Exemplos pr&#xE1;ticos:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>N&#xFA;mero Decimal: 123<\/strong>\n<ul class=\"wp-block-list\">\n<li>Representa&#xE7;&#xE3;o em BCD:\n<ul class=\"wp-block-list\">\n<li>1 &#x2192; 0001<\/li>\n\n\n\n<li>2 &#x2192; 0010<\/li>\n\n\n\n<li>3 &#x2192; 0011<\/li>\n\n\n\n<li>Resultado: 0001 0010 0011<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Convers&#xE3;o de BCD para Decimal<\/strong>:\n<ul class=\"wp-block-list\">\n<li>BCD: 0100 1001 (4 bits para cada d&#xED;gito)<\/li>\n\n\n\n<li>D&#xED;gitos em bin&#xE1;rio:\n<ul class=\"wp-block-list\">\n<li>0100 &#x2192; 4<\/li>\n\n\n\n<li>1001 &#x2192; 9<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Resultado Decimal: <strong>49<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Utiliza&#xE7;&#xF5;es:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sistemas de medi&#xE7;&#xE3;o digital, como rel&#xF3;gios e cron&#xF4;metros.<\/li>\n\n\n\n<li>Displays de dispositivos eletr&#xF4;nicos (ex.: calculadoras).<\/li>\n\n\n\n<li>Equipamentos industriais que precisam de compatibilidade direta entre dados num&#xE9;ricos e humanos.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>O sistema de codifica\u00e7\u00e3o bin\u00e1ria decimal (BCD) \u00e9 um m\u00e9todo de representa\u00e7\u00e3o de n\u00fameros decimais no qual cada d\u00edgito do n\u00famero decimal \u00e9 convertido para sua forma equivalente em bin\u00e1rio, utilizando exatamente 4 bits. Esse sistema \u00e9 amplamente utilizado em dispositivos eletr\u00f4nicos, sistemas de computador e equipamentos que lidam com interfaces homem-m\u00e1quina, como displays digitais. [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"footnotes":""},"glossary-categories":[],"glossary-tags":[],"class_list":["post-18269","glossary","type-glossary","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sistema de Codifica\u00e7\u00e3o Bin\u00e1ria Decimal - HANGAR MMA<\/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:\/\/hangarmma.com.br\/blog\/sistema-de-codificacao-binaria-decimal\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sistema de Codifica\u00e7\u00e3o Bin\u00e1ria Decimal - HANGAR MMA\" \/>\n<meta property=\"og:description\" content=\"O sistema de codifica\u00e7\u00e3o bin\u00e1ria decimal (BCD) \u00e9 um m\u00e9todo de representa\u00e7\u00e3o de n\u00fameros decimais no qual cada d\u00edgito do n\u00famero decimal \u00e9 convertido para sua forma equivalente em bin\u00e1rio, utilizando exatamente 4 bits. 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