{"id":2501,"date":"2021-01-19T02:08:32","date_gmt":"2021-01-18T19:08:32","guid":{"rendered":"https:\/\/luckytruedev.com\/learning\/?p=2501"},"modified":"2021-01-19T02:08:35","modified_gmt":"2021-01-18T19:08:35","slug":"hukum-aljabar-boolean","status":"publish","type":"post","link":"https:\/\/luckytruedev.com\/learning\/hukum-aljabar-boolean\/","title":{"rendered":"Hukum Aljabar Boolean"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"554\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9.png\" alt=\"\" class=\"wp-image-2515\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9-300x177.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9-768x453.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9-110x65.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9-420x248.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-9-730x430.png 730w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p><strong>Hukum identitas<\/strong>, dimana terdiri dari<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> + 0 = <\/strong><em>a <\/em><strong><\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>a<\/em><strong> <\/strong>\u00d7<strong> 1 = <\/strong><em>a<\/em><\/p>\n\n\n\n<p><strong>Hukum Idempoten<\/strong>, dimana untuk setiap anggota a, berlaku<\/p>\n\n\n\n<p><strong>a + a = a<\/strong><\/p>\n\n\n\n<p><strong>a . a = a<\/strong><\/p>\n\n\n\n<p><strong>Hukum komplemen<\/strong>, terdiri dari<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> + <\/strong><em>a<\/em><strong>\u2019 = 1<\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>aa<\/em><strong>\u2019 = 0<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"938\" height=\"546\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9.png\" alt=\"\" class=\"wp-image-2516\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9.png 938w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9-300x175.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9-768x447.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9-110x64.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9-420x244.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-9-739x430.png 739w\" sizes=\"auto, (max-width: 938px) 100vw, 938px\" \/><\/figure>\n\n\n\n<p><strong>Hukum dominansi<\/strong>, dimana terdiri dari<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> . 0 = <\/strong><em>a <\/em><strong><\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>a<\/em><strong> + 1 = <\/strong><em>a<\/em><\/p>\n\n\n\n<p><em>&nbsp;<\/em><strong>Hukum involusi<\/strong>, dimana <strong>(i)&nbsp;&nbsp;(<\/strong><em>a<\/em><strong>\u2019)\u2019 = <\/strong><em>a<\/em><\/p>\n\n\n\n<p><em>&nbsp;<\/em><strong>Hukum penyerapan,<\/strong> terdiri dari<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> + <\/strong><em>ab<\/em><strong> = <\/strong><em>a <\/em><strong><\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>a<\/em><strong>(<\/strong><em>a<\/em><strong> + <\/strong><em>b<\/em><strong>) = <\/strong><em>a<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"552\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8.png\" alt=\"\" class=\"wp-image-2517\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8-300x176.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8-768x451.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8-110x65.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8-420x247.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-8-732x430.png 732w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p><strong>Hukum komutatif<\/strong>, terdiri dari &nbsp;<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> + <\/strong><em>b<\/em><strong> = <\/strong><em>b<\/em><strong> + <\/strong><em>a <\/em><strong><\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>ab<\/em><strong> = <\/strong><em>ba<\/em><\/p>\n\n\n\n<p><strong>Hukum asosiatif <\/strong>terdiri dari<\/p>\n\n\n\n<p><em>a<\/em><strong> + (<\/strong><em>b<\/em><strong> + <\/strong><em>c<\/em><strong>) = (<\/strong><em>a<\/em><strong> + <\/strong><em>b<\/em><strong>) + <\/strong><em>c<\/em><\/p>\n\n\n\n<p>(ii) <em>a<\/em><strong> (<\/strong><em>b<\/em><em>c<\/em><strong>) = (<\/strong><em>a<\/em><em>b<\/em><strong>) <\/strong><em>c<\/em><\/p>\n\n\n\n<p><strong>Hukum distributif <\/strong>terdiri dari<\/p>\n\n\n\n<p><strong>(i) <\/strong><em>a<\/em><strong> + (<\/strong><em>b<\/em><strong> <\/strong><em>c<\/em><strong>) = (<\/strong><em>a<\/em><strong> + <\/strong><em>b<\/em><strong>) (<\/strong><em>a<\/em><strong> + <\/strong><em>c<\/em><strong>)<\/strong><\/p>\n\n\n\n<p><strong>(ii) <\/strong><em>a<\/em><strong> (<\/strong><em>b<\/em><strong> + <\/strong><em>c<\/em><strong>) = <\/strong><em>a<\/em><strong> <\/strong><em>b<\/em><strong> + <\/strong><em>a<\/em><strong> <\/strong><em>c<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"498\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6.png\" alt=\"\" class=\"wp-image-2518\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6-300x159.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6-768x407.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6-110x58.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6-420x223.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture4-6-770x408.png 770w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p><strong>Hukum De Morgan,<\/strong> terdiri dari &nbsp;<\/p>\n\n\n\n<p><strong>(i) (<\/strong><em>a<\/em><strong> + <\/strong><em>b<\/em><strong>)\u2019 = <\/strong><em>a<\/em><strong>\u2019<\/strong><em>b<\/em><strong><\/strong><\/p>\n\n\n\n<p><strong>(ii) (<\/strong><em>ab<\/em><strong>)\u2019 = <\/strong><em>a<\/em><strong>\u2019 + <\/strong><em>b<\/em><strong>\u2019\/<\/strong><\/p>\n\n\n\n<p><strong>Hukum 0\/1 (Zero One), <\/strong>terdiri dari<\/p>\n\n\n\n<p><strong>(i) 0\u2019 = 1<\/strong><\/p>\n\n\n\n<p><strong>(ii)&nbsp; 1\u2019 = 0<\/strong><\/p>\n\n\n\n<p>Kesamaan (<em>identity<\/em>) di dalam aljabar Boolean yang melibatkan operator +,&nbsp; \u00d7, dan komplemen, Misalkan <em>S<\/em> adalah kesamaan (<em>identity<\/em>), maka jika pernyataan <em>S<\/em>* diperoleh dengan cara mengganti \u00d7 dengan + \/ + dengan \u00d7<strong> \/ <\/strong>0 dengan 1\/ 1 dengan 0, dan membiarkan operator komplemen tetap apa adanya, maka kesamaan <em>S<\/em>* disebut sebagai <em>dual<\/em> dari <em>S.<\/em><\/p>\n<div id=\"lucky-4064539690\" class=\"lucky-after-content lucky-entity-placement\"><script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-5605825534849002\" crossorigin=\"anonymous\"><\/script><ins class=\"adsbygoogle\" style=\"display:block;\" data-ad-client=\"ca-pub-5605825534849002\" \ndata-ad-slot=\"5317815257\" \ndata-ad-format=\"auto\" data-full-width-responsive=\"true\"><\/ins>\n<script> \n(adsbygoogle = window.adsbygoogle || []).push({}); \n<\/script>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Hukum identitas, dimana terdiri dari (i) a + 0 = a (ii) a \u00d7 1 = a Hukum Idempoten, dimana untuk setiap anggota a, berlaku a + a = a a . a = a Hukum komplemen, terdiri dari (i) a + a\u2019 = 1 (ii) aa\u2019 = 0 Hukum dominansi, dimana terdiri dari (i) [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[347],"tags":[],"class_list":["post-2501","post","type-post","status-publish","format-standard","hentry","category-mtk-ltdv"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts\/2501","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/comments?post=2501"}],"version-history":[{"count":1,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts\/2501\/revisions"}],"predecessor-version":[{"id":2519,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts\/2501\/revisions\/2519"}],"wp:attachment":[{"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/media?parent=2501"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/categories?post=2501"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/tags?post=2501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}