{"id":12479,"date":"2021-11-30T13:43:59","date_gmt":"2021-11-30T12:43:59","guid":{"rendered":"https:\/\/complex-systems-ai.com\/?page_id=12479"},"modified":"2024-02-11T16:27:26","modified_gmt":"2024-02-11T15:27:26","slug":"algebre-de-boole","status":"publish","type":"page","link":"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/algebra-de-boole-865547\/","title":{"rendered":"3 ejercicios corregidos de \u00c1lgebra de Boole"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"12479\" class=\"elementor elementor-12479\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f5366aa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f5366aa\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-1b0e112\" data-id=\"1b0e112\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1bfa284 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1bfa284\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Matem\u00e1ticas<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-8c7094c\" data-id=\"8c7094c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-11cf457 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"11cf457\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/es\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pagina de inicio<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b1cf564\" data-id=\"b1cf564\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d6c113b elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d6c113b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Alg%C3%A8bre_de_Boole_(logique)\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Wiki<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2f025dd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2f025dd\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-88574ae\" data-id=\"88574ae\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-424653c elementor-widget elementor-widget-heading\" data-id=\"424653c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contenido<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Tabla de contenido alternativo\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Palanca<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewbox=\"0 0 24 24\" version=\"1.2\" baseprofile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/algebra-de-boole-865547\/#Exercices-corriges-sur-Algebre-de-Boole-et-tableau-de-Karnaugh\" >Ejercicios corregidos de \u00e1lgebra booleana y tabla de Karnaugh.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/algebra-de-boole-865547\/#Exercice-1\" >Ejercicio 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/algebra-de-boole-865547\/#Exercice-2\" >Ejercicio 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/complex-systems-ai.com\/es\/logica-matematica-27\/algebra-de-boole-865547\/#Exercice-3\" >Ejercicio 3<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercices-corriges-sur-Algebre-de-Boole-et-tableau-de-Karnaugh\"><\/span>Ejercicios corregidos de \u00e1lgebra booleana y tabla de Karnaugh.<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4299951 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4299951\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a566634\" data-id=\"a566634\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ed94261 elementor-widget elementor-widget-text-editor\" data-id=\"ed94261\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Este tutorial ofrece ejercicios corregidos sobre \u00e1lgebra de Boole y diagramas o tablas de Karnaugh.<\/p><p><img decoding=\"async\" class=\"aligncenter wp-image-11096 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2020\/09\/cropped-Capture.png\" alt=\"\u00e1lgebra de Boole\" width=\"97\" height=\"97\" title=\"\"><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0519044 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0519044\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a17faf9\" data-id=\"a17faf9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-83eacc4 elementor-widget elementor-widget-heading\" data-id=\"83eacc4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-1\"><\/span>Ejercicio 1<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-22e124d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"22e124d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4cd1fb0\" data-id=\"4cd1fb0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6995ba0 elementor-widget elementor-widget-text-editor\" data-id=\"6995ba0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La empresa K-Gaz decide contratar empleados internamente para su subsidiaria.<\/p><p>Para cada empleado, definimos las siguientes variables booleanas:<\/p><ul><li>a = 1 si tiene m\u00e1s de 5 a\u00f1os de antig\u00fcedad en la empresa<\/li><li>b = 1 si tiene un BTS-IG<\/li><li>c = 1 si habla ingl\u00e9s con fluidez<\/li><\/ul><p>El departamento de recursos humanos decide que los empleados pueden postularse:<\/p><ul><li>\u00a0que cumplen las tres condiciones<\/li><li>\u00a0o que tengan menos de 5 a\u00f1os de antig\u00fcedad pero que dominen el ingl\u00e9s<\/li><li>o que no hablan ingl\u00e9s que tienen un BTS-IG<\/li><\/ul><p>Aqu\u00ed est\u00e1n las preguntas:<\/p><ol><li>Dar los criterios de recursos humanos en expresi\u00f3n booleana<\/li><li>Representa la expresi\u00f3n mediante una matriz de Karnaugh<\/li><li>Simplif\u00edcalo<\/li><li>Encuentre el resultado por c\u00e1lculo usando retroceso<\/li><li>Concluir sobre la versi\u00f3n simplificada<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-60bad68 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"60bad68\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-87fc7ec\" data-id=\"87fc7ec\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-dad9967 elementor-widget elementor-widget-toggle\" data-id=\"dad9967\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2291\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2291\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2291\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2291\"><p>Pregunta 1<\/p><p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-12482 size-large\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole1-1024x183.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"1024\" height=\"183\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole1-1024x183.png 1024w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole1-300x53.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole1-768x137.png 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole1.png 1066w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p><p>Pregunta 2<\/p><p>Marcamos un 1 cada vez que un elemento de la expresi\u00f3n booleana es verdadero.<\/p><p><img decoding=\"async\" class=\"alignnone wp-image-12483 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole2.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"964\" height=\"137\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole2.png 964w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole2-300x43.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole2-768x109.png 768w\" sizes=\"(max-width: 964px) 100vw, 964px\" \/><\/p><p>Pregunta 3<\/p><p>Para simplificar la expresi\u00f3n, miramos en la tabla los cuadrados de 4 elementos o los rect\u00e1ngulos de dos elementos (no necesariamente conectados) de los cuales a lo sumo un literal cambia entre fila y columna.<\/p><p>Por ejemplo, el rect\u00e1ngulo verde, solo cambia el literal b, entonces \u00e4c no cambia (\u00e4 considerando la fila yc considerando ambas columnas). En el cuadrado rojo, en la columna, solo b cambia (a cambia en las filas yc cambia en la columna).<\/p><p>Deducimos la expresi\u00f3n simplificada.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12484 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole3.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"923\" height=\"144\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole3.png 923w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole3-300x47.png 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole3-768x120.png 768w\" sizes=\"(max-width: 923px) 100vw, 923px\" \/><\/p><p>Pregunta 4<\/p><p>La t\u00e9cnica del backtracking consiste en retroceder poco a poco los resultados seg\u00fan la falta de elemento computacional. Por ejemplo, despu\u00e9s de factorizar por b, tendremos ac + C_barre. A la vista de la f\u00f3rmula, es obvio que ac + \u00e4c + c_barre ser\u00eda necesario para que esta expresi\u00f3n sea igual a 1.<\/p><p>As\u00ed, cada vez que falta un elemento computacional para llegar a su finalidad, es posible transformar las l\u00edneas de c\u00e1lculo precedentes sumando elementos ya existentes o multiplicando por 1 como por ejemplo b + b_barre para llegar a sus extremos.<\/p><p>Aqu\u00ed est\u00e1 el razonamiento final:<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12485 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole4.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"398\" height=\"307\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole4.png 398w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole4-300x231.png 300w\" sizes=\"(max-width: 398px) 100vw, 398px\" \/><\/p><p>Pregunta 5<\/p><p>De esto se deduce que RR.HH. acepta solicitantes que tengan un BTS-IG o que tengan menos de 5 a\u00f1os de antig\u00fcedad pero dominen el ingl\u00e9s.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-effd0fc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"effd0fc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9fc44bb\" data-id=\"9fc44bb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0b99ce3 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"0b99ce3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-16d44c8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"16d44c8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d3f3845\" data-id=\"d3f3845\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8eef849 elementor-widget elementor-widget-heading\" data-id=\"8eef849\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-2\"><\/span>Ejercicio 2<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c237973 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c237973\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b64cadf\" data-id=\"b64cadf\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-077102e elementor-widget elementor-widget-text-editor\" data-id=\"077102e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El responsable del parque inform\u00e1tico de una empresa contempla la adquisici\u00f3n de nuevos ordenadores. Para equiparse, este gerente acude a una empresa de venta de equipos inform\u00e1ticos que ofrece configuraciones predefinidas (computadora y perif\u00e9ricos).<\/p><p>Definimos los criterios:<br \/>a: la configuraci\u00f3n incluye una grabadora de DVD;<br \/>b: la configuraci\u00f3n incluye una impresora;<br \/>c: la configuraci\u00f3n incluye un esc\u00e1ner.<\/p><p>Las limitaciones de equipo excluyen la configuraci\u00f3n con quemador de DVD pero sin esc\u00e1ner, as\u00ed como las configuraciones sin quemador y sin impresora.<\/p><p>Aqu\u00ed est\u00e1n las preguntas:<\/p><ol><li>Dar la expresi\u00f3n booleana E traduciendo las condiciones de exclusi\u00f3n<\/li><li>Pon la mesa de Karnaugh de E<\/li><li>Traducir y decir si se acepta una (b_barre) c<\/li><li>Determine una expresi\u00f3n de F que refleje las condiciones de aceptaci\u00f3n.<\/li><li>Traduzca la versi\u00f3n simplificada de F.<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c487aee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c487aee\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-872e128\" data-id=\"872e128\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4c26fc1 elementor-widget elementor-widget-toggle\" data-id=\"4c26fc1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-7981\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-7981\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-7981\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-7981\"><p>1- La expresi\u00f3n es E = a (c_barre) + \u00e4 (b_barre)<\/p><p>2- La tabla de Karnaugh de E es\u00a0<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12486 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole5.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"529\" height=\"76\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole5.png 529w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole5-300x43.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p><p>3- la expresi\u00f3n significa equipado con una grabadora de DVD y un esc\u00e1ner pero sin impresora. Ella no est\u00e1 presente en E&#039;s Karnaugh, por lo que se le permite<\/p><p>4- Aqu\u00ed est\u00e1 el Karnaugh de E<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12487 size-full\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole6.png\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"388\" height=\"122\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole6.png 388w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/boole6-300x94.png 300w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><\/p><p>En verde c var\u00eda. En rojo b var\u00eda.<\/p><p>5- La expresi\u00f3n simplificada proporciona un grabador y un esc\u00e1ner; o sin quemador e impresora.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aca5c14 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aca5c14\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cf8282c\" data-id=\"cf8282c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6a9a8aa elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"6a9a8aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5c5a5c1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5c5a5c1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2471724\" data-id=\"2471724\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f9cdc30 elementor-widget elementor-widget-heading\" data-id=\"f9cdc30\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercice-3\"><\/span>Ejercicio 3<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a154fed elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a154fed\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8b1a069\" data-id=\"8b1a069\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9ca458 elementor-widget elementor-widget-text-editor\" data-id=\"e9ca458\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El director de recursos humanos (DRH) de un ayuntamiento debe contratar a una persona para un trabajo relacionado con la circulaci\u00f3n de autom\u00f3viles en el centro de la ciudad.<\/p><p>Para realizar su elecci\u00f3n, el DRH establece tres criterios de selecci\u00f3n en cuanto a conocimientos en inform\u00e1tica, experiencia en el campo en cuesti\u00f3n y seguimiento de un curso de formaci\u00f3n espec\u00edfico.<\/p><p>La persona contratada debe:<\/p><ul><li>tener conocimientos inform\u00e1ticos y experiencia en el campo correspondiente;<\/li><li>o no tener conocimientos de inform\u00e1tica, pero haber seguido un curso de formaci\u00f3n espec\u00edfico;<\/li><li>o no tener experiencia en el campo en cuesti\u00f3n, pero haber seguido un curso de formaci\u00f3n espec\u00edfico.<\/li><\/ul><p>Definimos las siguientes tres variables booleanas a, byc:<\/p><ul><li>a = 1 si la persona tiene conocimientos de inform\u00e1tica, a = 0 en caso contrario;<\/li><li>b = 1 si la persona tiene experiencia en el campo en cuesti\u00f3n, b = 0 en caso contrario;<\/li><li>c = 1 si la persona ha seguido un curso de formaci\u00f3n espec\u00edfico, c = 0 en caso contrario.<\/li><\/ul><p>Aqu\u00ed est\u00e1n las preguntas:<\/p><ol><li>Describe la situaci\u00f3n correspondiente al producto ab \/ c<\/li><li>Defina la expresi\u00f3n booleana E correspondiente a los criterios de selecci\u00f3n de HRD.<\/li><li>Encuentre una escritura simplificada de la expresi\u00f3n booleana E.<\/li><li>Explique la versi\u00f3n simplificada.<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-722f0a2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"722f0a2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55ada19\" data-id=\"55ada19\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ff65cdb elementor-widget elementor-widget-toggle\" data-id=\"ff65cdb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2671\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2671\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Soluci\u00f3n<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-2671\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2671\"><p>1- ab \/ c significa que la persona tiene conocimientos de inform\u00e1tica (a = 1) y experiencia en el campo en cuesti\u00f3n (b = 1), pero no ha seguido un curso de formaci\u00f3n espec\u00edfico (c = 0).<\/p><p>2- E = ab + \/ ac + bc<\/p><p>3- La tabla de Karnaugh y su modelo simplificado es el siguiente<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12497 size-medium\" src=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/FLX-Karnaugh-300x157.jpg\" alt=\"\u00c1lgebra booleana de Karnaugh\" width=\"300\" height=\"157\" title=\"\" srcset=\"https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/FLX-Karnaugh-300x157.jpg 300w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/FLX-Karnaugh-768x402.jpg 768w, https:\/\/complex-systems-ai.com\/wp-content\/uploads\/2021\/11\/FLX-Karnaugh.jpg 878w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p><p>4- Esto significa: La persona tiene conocimientos de inform\u00e1tica (a = 1) y experiencia en el campo en cuesti\u00f3n (b = 1) O ha seguido un curso de formaci\u00f3n espec\u00edfico (c = 1).<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Matem\u00e1ticas P\u00e1gina de inicio Wiki Ejercicios corregidos sobre \u00e1lgebra booleana y tabla de Karnaugh Este tutorial ofrece ejercicios corregidos sobre \u00e1lgebra booleana y\u2026 <\/p>","protected":false},"author":1,"featured_media":0,"parent":12320,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12479","page","type-page","status-publish","hentry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/12479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/comments?post=12479"}],"version-history":[{"count":7,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/12479\/revisions"}],"predecessor-version":[{"id":20278,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/12479\/revisions\/20278"}],"up":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/pages\/12320"}],"wp:attachment":[{"href":"https:\/\/complex-systems-ai.com\/es\/wp-json\/wp\/v2\/media?parent=12479"}],"curies":[{"name":"gracias","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}