{"id":2537,"date":"2021-01-19T11:52:36","date_gmt":"2021-01-19T04:52:36","guid":{"rendered":"https:\/\/luckytruedev.com\/learning\/?p=2537"},"modified":"2021-01-19T11:52:38","modified_gmt":"2021-01-19T04:52:38","slug":"bentuk-standar-dan-kanonik","status":"publish","type":"post","link":"https:\/\/luckytruedev.com\/learning\/bentuk-standar-dan-kanonik\/","title":{"rendered":"Bentuk Standar dan Kanonik"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"521\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15.png\" alt=\"\" class=\"wp-image-2550\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-300x166.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-768x426.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-110x61.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-420x233.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-248x138.png 248w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture1-15-770x427.png 770w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p>Terdapat Aturan Bentuk standar dan kanonik,<\/p>\n\n\n\n<p>Yaitu 1, Jika f adalah fungsi Boolean <strong>satu variabel maka untuk semua<\/strong> nilai x berlaku, <strong>f(x) = f (0) . x\u2019 + f (1) . x<\/strong><\/p>\n\n\n\n<p>Nomor 2, Jika f adalah fungsi Boolean <strong>dua variabel maka untuk semua<\/strong> nilai x berlaku, <strong>f(x,y) = f(0,0) . x\u2019y\u2019 + f(0,1) . x\u2019y + f(1,0) . xy\u2019 + f(1,1) . xy<\/strong>,<\/p>\n\n\n\n<p>nomor 3, Jika f adalah fungsi Boolean <strong>tiga variabel maka untuk semua<\/strong> nilai x berlaku, <strong>f(x,y,z) = f(0,0,0) . x\u2019y\u2019 z\u2019 + f(0,0,1) . x\u2019y\u2019z + f(0,1,0) . x\u2019yz\u2019 +&nbsp; f(0,1,1) . x\u2019yz + f(1,0,0) . xy\u2019z\u2019 + f(1,0,1) . xy\u2019z +&nbsp; f(1,1,0) . xyz\u2019 + f(1,1,1) . xyz<\/strong>,<\/p>\n\n\n\n<p>Perhatikan bahwa untuk satu variable maka hanya ada 1 variable yang di-invers-kan, Untuk dua variable maka hanya ada 2 variable yang di-invers-kan, Dan untuk tiga variable maka hanya ada 3 variable yang di-invers-kan<strong><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"616\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15.png\" alt=\"\" class=\"wp-image-2551\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15-300x197.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15-768x503.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15-110x72.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15-420x275.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture2-15-656x430.png 656w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p>Nomor 4 untuk aturan bentuk standar dan kanonik yaitu SOP-kan atau POS, kan dari mulai baris pertama\/ Misal melakukan Konversi fungsi Boolean ke dalam bentuk minterm (SOP), Jika <strong>x = 0, y = 0 dan z = 1<\/strong>, maka langsung SOP-kan menjadi <strong>f(x,y,z) = x\u2019y\u2019z<\/strong>, Karena minterm berorientasi ke nilai 1, sehingga x harus diinvers menjadi <strong>x\u2019<\/strong>\/y harus diinvers menjadi y\u2019, Sedangkan z tidak diinvers-kan karena sudah bernilai 1, Begitupun untuk POS,<\/p>\n\n\n\n<p>Misal melakukan Konversi fungsi Boolean ke dalam bentuk Maxterm (POS)<\/p>\n\n\n\n<p>jika <strong>x = 1, y = 0 dan z = 1<\/strong>, maka langsung POS-kan menjadi <strong>f(x,y,z) = x\u2019+y+z\u2019<\/strong>, Karena Maxterm berorientasi ke nilai 0, sehingga x harus diinvers menjadi <strong>x\u2019<\/strong>\/ y tidak diinvers-kan karena sudah bernilai 0, z harus diinvers menjadi 0<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"588\" src=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13.png\" alt=\"\" class=\"wp-image-2552\" srcset=\"https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13.png 940w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13-300x188.png 300w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13-768x480.png 768w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13-110x69.png 110w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13-420x263.png 420w, https:\/\/luckytruedev.com\/learning\/wp-content\/uploads\/2021\/01\/Picture3-13-687x430.png 687w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p>Jika yang diminta ke bentuk minterm (SOP) maka, fokuskan di nilai <strong>f(x,y,z)<\/strong> nya yang benilai 1, Sehingga kita dapat hasilkan bentuk minterm nya atau SOP nya, yaitu <strong>x\u2019yz \u2018+ x\u2019yz + xy\u2019z + xyz<\/strong>, Dan jika yang diminta ke bentuk Maxterm (POS) maka, fokuskan di nilai <strong>f(x,y,z)<\/strong> nya yang benilai 0, Sehingga kita dapat hasilkan bentuk Maxterm nya atau POS nya, yaitu <strong>(x+y+z)(x+y+z\u2019)(x\u2019+y+z)(x\u2019+y+z\u2019).<\/strong><strong><\/strong><\/p>\n<div id=\"lucky-2142990595\" 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>Terdapat Aturan Bentuk standar dan kanonik, Yaitu 1, Jika f adalah fungsi Boolean satu variabel maka untuk semua nilai x berlaku, f(x) = f (0) . x\u2019 + f (1) . x Nomor 2, Jika f adalah fungsi Boolean dua variabel maka untuk semua nilai x berlaku, f(x,y) = f(0,0) . x\u2019y\u2019 + f(0,1) . [&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-2537","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\/2537","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=2537"}],"version-history":[{"count":1,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts\/2537\/revisions"}],"predecessor-version":[{"id":2553,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/posts\/2537\/revisions\/2553"}],"wp:attachment":[{"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/media?parent=2537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/categories?post=2537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/luckytruedev.com\/learning\/wp-json\/wp\/v2\/tags?post=2537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}