{"id":1493,"date":"2024-12-08T03:42:29","date_gmt":"2024-12-07T20:42:29","guid":{"rendered":"https:\/\/www.tneutron.net\/industri\/?p=1493"},"modified":"2024-12-06T09:01:49","modified_gmt":"2024-12-06T02:01:49","slug":"metoda-quine-mc-cluskey","status":"publish","type":"post","link":"https:\/\/www.tneutron.net\/industri\/metoda-quine-mc-cluskey\/","title":{"rendered":"Metoda Quine &#8211; Mc. Cluskey"},"content":{"rendered":"<p>Untuk menyederhanakan suatu persamaan logika empat variable, Kmap memang metode yang paling efektif. Akan tetapi jika persamaan itu lebih dari empat variable metode ini akan mengalami kesulitan. Metode Quine Mc. Cluskey adalh salah satu cara yang memungkinkan untuk menyederhanakan suatu persamaan logika lebih dari empat variable. Berikut langkah-langkahnya ;<br \/>\nBila diberikan persamaan logika F = \u01a9(0,3,7,8,9,13)<br \/>\na. Nyatakan masing-masing unsur minterm kedalam kode biner<br \/>\n0 = 0000<br \/>\n3 = 0011<br \/>\n7 = 0111<br \/>\n8 = 1000<br \/>\n9 = 1001<br \/>\n13 = 1011<\/p>\n<p>b. Tentukan jumlah logik 1 dalam suatu angka biner sebagai indeks dari angka. Kumpulkan semua angka biner yang berindeks sama menjadi satu kelompok pada tabel 1<br \/>\n0 = 0000 \u2192 jumlah logik 1 = 0<br \/>\n3 = 0011\u2192 jumlah logic 1 = 2<br \/>\n7 = 0111\u2192 jumlah logic 1 = 3<br \/>\n8 = 1000 \u2192 jumlah logic 1 = 1<br \/>\n9 = 1001\u2192 jumlah logic 1 = 2<br \/>\n13 = 1011\u2192 jumlah logic 1 = 3<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-7.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; margin: 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-8.png\" alt=\"image\" width=\"100\" height=\"141\" border=\"0\" \/><\/a><\/p>\n<p>c. Bandingkan antara tiap unsur mulai dari indeks terkecil dengan tiap unsur dari indeks sesudahnya. Nilai unsur dari indeks pertama harus lebih kecil dari nilai unsur indeks sesudahnya. Apabila terdapat selisih 2n maka boleh digabung. Langkah ini akan menghasilkan kelompok baru.<br \/>\nd. Lakukan kembali langkah c sampai tidak ada lagi selisih 2n.<br \/>\ne. Tiap kelompok diberi nama.<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-11.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-11.png\" alt=\"image\" width=\"473\" height=\"123\" border=\"0\" \/><\/a><\/p>\n<p>f. Untuk penyelesaian, kita ambil satu nama yang mewakili tiap angka (a, b, c atau d). Pengambilan nama harus seminimal mungkin. Sehingga akan didapat<br \/>\nF = a + c + d<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-12.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-13.png\" alt=\"image\" width=\"203\" height=\"131\" border=\"0\" \/><\/a><\/p>\n<p>Sebagai contoh sederhanakan persamaan logika pada table kebenaran dibawah ini.<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-14.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-14.png\" alt=\"image\" width=\"388\" height=\"190\" border=\"0\" \/><\/a><\/p>\n<p>Maka rangkaian logikanya adalah<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-15.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-15.png\" alt=\"image\" width=\"328\" height=\"259\" border=\"0\" \/><\/a><\/p>\n<p>Persamaan diatas dapat disederhanakan dengan beberapa metode yang telah dijelaskan diatas.<br \/>\n<strong>o Dengan aljabar Boolean<\/strong><br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-16.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-16.png\" alt=\"image\" width=\"298\" height=\"123\" border=\"0\" \/><\/a><\/p>\n<p><strong>o Dengan K-map<\/strong><br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-18.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-17.png\" alt=\"image\" width=\"297\" height=\"193\" border=\"0\" \/><\/a><\/p>\n<p><strong>o Dengan diagram venn<\/strong><br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-19.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-18.png\" alt=\"image\" width=\"287\" height=\"35\" border=\"0\" \/><\/a><\/p>\n<p><a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-21.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; margin: 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-20.png\" alt=\"image\" width=\"244\" height=\"181\" border=\"0\" \/><\/a><\/p>\n<p>Dari gambar disamping kita bisa lihat lingkaran A terisi oleh arsiran sedangkan lingkaran C tidak terisi oleh arsiran hanya sebagian yang terisi dan itupun sudah terwakili oleh lingkaran A. jadi<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-22.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; margin: 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-21.png\" alt=\"image\" width=\"85\" height=\"41\" border=\"0\" \/><\/a><\/p>\n<p><strong>o Dengan Quine Mc-Cluskey<\/strong><br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-23.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-22.png\" alt=\"image\" width=\"388\" height=\"287\" border=\"0\" \/><\/a><\/p>\n<p><a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-24.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-24.png\" alt=\"image\" width=\"308\" height=\"81\" border=\"0\" \/><\/a><br \/>\nF = a + b \u2192 (0,2,4,6) + ( 4,5,6,7)<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-28.png\"><img loading=\"lazy\" decoding=\"async\" style=\"background-image: none; padding-top: 0px; padding-left: 0px; margin: 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-28.png\" alt=\"image\" width=\"244\" height=\"190\" border=\"0\" \/><\/a><\/p>\n<p>Jadi penyederhanaan persaaan logika diatas dapat diimplementasikan dalam rangkaian sebagai berikut ;<br \/>\n<a href=\"https:\/\/www.tneutron.net\/industri\/wp-content\/uploads\/sites\/3\/2016\/11\/image-30.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-29.png\" alt=\"image\" width=\"302\" height=\"122\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Untuk menyederhanakan suatu persamaan logika empat variable, Kmap memang metode yang paling efektif. Akan tetapi jika persamaan itu lebih dari<\/p>\n","protected":false},"author":1,"featured_media":1491,"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":[1921,1923,1918,1919,1920,1922,1924,1925],"class_list":["post-1493","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sistem-digital-dasar","tag-metodu0105-quine-a-mccluskeya","tag-metoda-lui-quine","tag-metoda-quine","tag-metoda-quine-mc-cluskey","tag-metoda-quineu0027a-mccluskeya-przyku0142ad","tag-metoda-quineu0027a-mccluskeya-przyku0142ady","tag-minimalizacja-funkcji-metodu0105-quineu0027a-mccluskeya","tag-minimalizacja-metodu0105-quineu0027a"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Metoda Quine - Mc. 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