{"id":1511,"date":"2024-12-08T05:46:16","date_gmt":"2024-12-07T22:46:16","guid":{"rendered":"https:\/\/www.tneutron.net\/industri\/?p=1511"},"modified":"2024-12-06T09:01:49","modified_gmt":"2024-12-06T02:01:49","slug":"aljabar-boolean","status":"publish","type":"post","link":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/","title":{"rendered":"Aljabar Boolean"},"content":{"rendered":"<p>Aljabar boolean merupakan aljabar yang berhubungan dengan variabel-variabel biner dan operasi-operasi logik. Variabel-variabel diperlihatkan dengan huruf-huruf alfabet, dan tiga operasi dasar dengan AND, OR dan NOT (komplemen). Fungsi boolean terdiri dari variabel-variabel biner yang menunjukkan fungsi, suatu tanda sama dengan, dan suatu ekspresi aljabar yang dibentuk dengan menggunakan variabel-variabel biner, konstanta-konstanta 0 dan 1, simbol-simbol operasi logik, dan tanda kurung.<\/p>\n<p>Suatu fungsi boolean bisa dinyatakan dalam tabel kebenaran. Suatu tabel kebenaran untuk fungsi boolean merupakan daftar semua kombinasi angka-angka biner 0 dan 1 yang diberikan ke variabel-variabel biner dan daftar yang memperlihatkan nilai fungsi untuk masing-masing kombinasi biner. Aljabar boolean mempunyai 2 fungsi berbeda yang saling berhubungan. Dalam arti luas, aljabar boolean berarti suatu jenis simbol-simbol yang ditemukan oleh George Boole untuk memanipulasi nilai-nilai kebenaran logika secara aljabar.<\/p>\n<p>Dalam hal ini aljabar boolean cocok untuk diaplikasikan dalam komputer. Disisi lain, aljabar boolean juga merupakan suatu struktur aljabar yang operasi-operasinya memenuhi aturan tertentu.<br \/>\n<strong>DALIL BOOLEAN ;<\/strong><br \/>\n1. X=0 ATAU X=1<br \/>\n2. 0 . 0 = 0<br \/>\n3. 1 + 1 = 1<br \/>\n4. 0 + 0 = 0<br \/>\n5. 1 . 1 = 1<br \/>\n6. 1 . 0 = 0 . 1 = 0<br \/>\n7. 1 + 0 = 0 + 1 = 0<\/p>\n<p><strong>TEOREMA BOOLEAN<br \/>\n<\/strong>1. HK. KOMUTATIF<br \/>\nA + B = B + A<br \/>\nA . B = B . A<\/p>\n<p>2. HK. ASSOSIATIF<br \/>\n(A+B)+C = A+(B+C)<br \/>\n(A.B) . C = A . (B.C)<\/p>\n<p>3. HK. DISTRIBUTIF<br \/>\nA . (B+C) = A.B + A.C<br \/>\nA + (B.C) = (A+B) . (A+C)<\/p>\n<p>4. HK. NEGASI<br \/>\n( A\u201f ) = A\u201f<br \/>\n(A\u201f)\u201f = A<\/p>\n<p>5. HK. ABRSORPSI<br \/>\nA+ A.B = A<br \/>\nA.(A+B) = A<\/p>\n<p>6. HK. IDENTITAS<br \/>\nA + A = A<br \/>\nA . A = A<\/p>\n<p>7. DE MORGAN\u201fS<br \/>\n( A+ B )\u201f = A\u201f . B\u201f<br \/>\n( A . B )\u201f = A\u201f + B\u201f<\/p>\n<p><strong>CONTOH :<br \/>\n<\/strong>1. A + A . B\u201f + A\u201f . B = A . ( 1 + B\u201f ) + A\u201f . B<br \/>\n= A . 1 + A\u201f . B<br \/>\n= A + A\u201f . B<br \/>\n= A + B<\/p>\n<p>2. Rangkaian berikut L<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-34.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; display: inline; padding-right: 0px; border-width: 0px;\" title=\"image\" src=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-33.png\" alt=\"image\" width=\"311\" height=\"83\" border=\"0\" \/><\/a><br \/>\nX = (A.B)\u201f . B = (A\u201f + B\u201f) . B<br \/>\n= A\u201f.B<br \/>\nAtau<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-36.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; display: inline; padding-right: 0px; border-width: 0px;\" title=\"image\" src=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png\" alt=\"image\" width=\"160\" height=\"48\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aljabar boolean merupakan aljabar yang berhubungan dengan variabel-variabel biner dan operasi-operasi logik. Variabel-variabel diperlihatkan dengan huruf-huruf alfabet, dan tiga operasi<\/p>\n","protected":false},"author":1,"featured_media":1509,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[489],"tags":[1889,1897,1894,1895,1896,1893,1890,1891,1892],"class_list":["post-1511","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sistem-digital-dasar","tag-aljabar-boolean","tag-aljabar-boolean-calculator","tag-aljabar-boolean-dan-gerbang-logika","tag-aljabar-boolean-dan-rangkaian-logika","tag-aljabar-boolean-dan-teori-de-morgan","tag-aljabar-boolean-matematika-diskrit","tag-aljabar-boolean-pdf","tag-aljabar-boolean-ppt","tag-aljabar-boolean-sistem-digital"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Aljabar Boolean - TN Industri<\/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:\/\/www.tneutron.net\/industri\/aljabar-boolean\/\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Aljabar Boolean - TN Industri\" \/>\n<meta name=\"twitter:description\" content=\"Aljabar boolean merupakan aljabar yang berhubungan dengan variabel-variabel biner dan operasi-operasi logik. Variabel-variabel diperlihatkan dengan huruf-huruf alfabet, dan tiga operasi\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png\" \/>\n<meta name=\"twitter:creator\" content=\"@t_neutron\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Taufiqullah\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/\"},\"author\":{\"name\":\"Taufiqullah\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/#\\\/schema\\\/person\\\/b57f791b694136047454bb6ac5cbe375\"},\"headline\":\"Aljabar Boolean\",\"datePublished\":\"2024-12-07T22:46:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/\"},\"wordCount\":262,\"image\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2016\\\/11\\\/image_thumb-35.png\",\"keywords\":[\"Aljabar Boolean\",\"aljabar boolean calculator\",\"aljabar boolean dan gerbang logika\",\"aljabar boolean dan rangkaian logika\",\"aljabar boolean dan teori de morgan\",\"aljabar boolean matematika diskrit\",\"aljabar boolean pdf\",\"aljabar boolean ppt\",\"aljabar boolean sistem digital\"],\"articleSection\":[\"Sistem Digital Dasar\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/\",\"url\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/\",\"name\":\"Aljabar Boolean - TN Industri\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2016\\\/11\\\/image_thumb-35.png\",\"datePublished\":\"2024-12-07T22:46:16+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/#\\\/schema\\\/person\\\/b57f791b694136047454bb6ac5cbe375\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2016\\\/11\\\/image_thumb-35.png\",\"contentUrl\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2016\\\/11\\\/image_thumb-35.png\",\"width\":160,\"height\":48},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/aljabar-boolean\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Aljabar Boolean\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/#website\",\"url\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/\",\"name\":\"TN Industri\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/www.tneutron.net\\\/industri\\\/#\\\/schema\\\/person\\\/b57f791b694136047454bb6ac5cbe375\",\"name\":\"Taufiqullah\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g\",\"caption\":\"Taufiqullah\"},\"description\":\"Taufiqullah\",\"sameAs\":[\"http:\\\/\\\/www.tneutron.net\",\"https:\\\/\\\/x.com\\\/t_neutron\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Aljabar Boolean - TN Industri","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/","twitter_card":"summary_large_image","twitter_title":"Aljabar Boolean - TN Industri","twitter_description":"Aljabar boolean merupakan aljabar yang berhubungan dengan variabel-variabel biner dan operasi-operasi logik. Variabel-variabel diperlihatkan dengan huruf-huruf alfabet, dan tiga operasi","twitter_image":"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png","twitter_creator":"@t_neutron","twitter_misc":{"Written by":"Taufiqullah","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#article","isPartOf":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/"},"author":{"name":"Taufiqullah","@id":"https:\/\/www.tneutron.net\/industri\/#\/schema\/person\/b57f791b694136047454bb6ac5cbe375"},"headline":"Aljabar Boolean","datePublished":"2024-12-07T22:46:16+00:00","mainEntityOfPage":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/"},"wordCount":262,"image":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#primaryimage"},"thumbnailUrl":"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png","keywords":["Aljabar Boolean","aljabar boolean calculator","aljabar boolean dan gerbang logika","aljabar boolean dan rangkaian logika","aljabar boolean dan teori de morgan","aljabar boolean matematika diskrit","aljabar boolean pdf","aljabar boolean ppt","aljabar boolean sistem digital"],"articleSection":["Sistem Digital Dasar"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/","url":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/","name":"Aljabar Boolean - TN Industri","isPartOf":{"@id":"https:\/\/www.tneutron.net\/industri\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#primaryimage"},"image":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#primaryimage"},"thumbnailUrl":"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png","datePublished":"2024-12-07T22:46:16+00:00","author":{"@id":"https:\/\/www.tneutron.net\/industri\/#\/schema\/person\/b57f791b694136047454bb6ac5cbe375"},"breadcrumb":{"@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#primaryimage","url":"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png","contentUrl":"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image_thumb-35.png","width":160,"height":48},{"@type":"BreadcrumbList","@id":"https:\/\/www.tneutron.net\/industri\/aljabar-boolean\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.tneutron.net\/industri\/"},{"@type":"ListItem","position":2,"name":"Aljabar Boolean"}]},{"@type":"WebSite","@id":"https:\/\/www.tneutron.net\/industri\/#website","url":"https:\/\/www.tneutron.net\/industri\/","name":"TN Industri","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.tneutron.net\/industri\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.tneutron.net\/industri\/#\/schema\/person\/b57f791b694136047454bb6ac5cbe375","name":"Taufiqullah","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dcdf36434717ce57bea7f17eb3c140a2ff8def45941b720aa8fc1cccd6cdd505?s=96&d=mm&r=g","caption":"Taufiqullah"},"description":"Taufiqullah","sameAs":["http:\/\/www.tneutron.net","https:\/\/x.com\/t_neutron"]}]}},"_links":{"self":[{"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/posts\/1511","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/comments?post=1511"}],"version-history":[{"count":1,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/posts\/1511\/revisions"}],"predecessor-version":[{"id":3383,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/posts\/1511\/revisions\/3383"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/media\/1509"}],"wp:attachment":[{"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/media?parent=1511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/categories?post=1511"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tneutron.net\/industri\/wp-json\/wp\/v2\/tags?post=1511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}