{"id":1103,"date":"2025-04-14T06:49:34","date_gmt":"2025-04-14T06:49:34","guid":{"rendered":"https:\/\/ekomartantoh.net\/artikel\/?p=1103"},"modified":"2025-04-14T06:50:35","modified_gmt":"2025-04-14T06:50:35","slug":"finite-state-otomta-fsa","status":"publish","type":"post","link":"https:\/\/ekomartantoh.net\/artikel\/2025\/04\/14\/finite-state-otomta-fsa\/","title":{"rendered":"FINITE STATE OTOMATA (FSA)"},"content":{"rendered":"\n<p>F<strong>inite Automata (FA)<\/strong> adalah model matematika untuk sistem komputasi dengan memori terbatas.<\/p>\n\n\n\n<p><strong>FA digunakan untuk:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Pengolahan teks (regex, lexical analyzer)<\/li>\n\n\n\n<li>Sistem kendali otomatis<\/li>\n\n\n\n<li>Pendeteksi pola<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">A. Jenis FSA<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Deterministic Finite Automata (DFA)<br>Dari suatu state ada tepat <strong>satu <\/strong>state berikutnya untuk setiap symbol masukan yang diterima.<\/li>\n\n\n\n<li>Non-deterministic Finite Automata (NFA)<br>Dari suatu state ada <strong>0, 1 atau lebih <\/strong>state berikutnya untuk setiap simbol masukan yang diterima.<\/li>\n<\/ol>\n\n\n\n<p>Sebuah FA didefinisikan sebagai 5-tuple:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">M = (Q, \u03a3, \u03b4, q0, F)<\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>Q<\/code>: Himpunan hingga dari <strong>state<\/strong><\/li>\n\n\n\n<li><code>\u03a3<\/code>: Himpunan hingga dari <strong>simbol input<\/strong> (alfabet)<\/li>\n\n\n\n<li><code>\u03b4<\/code>: Fungsi transisi, <code>Q \u00d7 \u03a3 \u2192 Q<\/code><\/li>\n\n\n\n<li><code>q0<\/code>: State <strong>awal<\/strong> (q0 \u2208 Q)<\/li>\n\n\n\n<li><code>F<\/code>: Himpunan <strong>state akhir<\/strong> (F \u2286 Q)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">B. Cara kerja Finite Automata<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Mesin membaca memori masukan berupa tape yaitu 1 karakter tiap saat (dari kiri ke kanan) menggunakan head baca yang dikendalikan oleh kotak kendali state berhingga dimana pada mesin terdapat sejumlah state<\/li>\n\n\n\n<li><span style=\"color: initial;\">Finite Automata selalu dalam kondisi yang disebut state awal pada saat Finite Automata mulai membaca tape.<\/span><\/li>\n\n\n\n<li><span style=\"color: initial;\">Perubahan state terjadi pada mesin ketika sebuah karakter berikutnya dibaca.<\/span><\/li>\n\n\n\n<li>Ketika head telah sampai pada akhir tape dan kondisi yang ditemui adalah state akhir, maka string yang terdapat pada tape dikatakan diterima Finite Automata (String-string merupakan milik bahasa bila diterima Finite Automata bahasa tersebut). FA untuk mengenali Bilangan Cacah<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">C. Graph Transisi<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"661\" height=\"482\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image.png\" alt=\"\" class=\"wp-image-1113\" style=\"width:636px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image.png 661w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-300x219.png 300w\" sizes=\"auto, (max-width: 661px) 100vw, 661px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">D. Himpunan State = <em>Q<\/em><\/h3>\n\n\n\n<p><em>Q <\/em>= {<em>q<\/em><sub>0<\/sub> , <em>q<\/em><sub>1<\/sub>, <em>q<\/em><sub>2<\/sub> , <em>q<\/em><sub>3<\/sub> , <em>q<\/em><sub>4<\/sub> , <em>q<\/em><sub>5<\/sub>}<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"514\" height=\"251\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-1.png\" alt=\"\" class=\"wp-image-1114\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-1.png 514w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-1-300x146.png 300w\" sizes=\"auto, (max-width: 514px) 100vw, 514px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>State awal = q<sub>0<\/sub><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"533\" height=\"268\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-2.png\" alt=\"\" class=\"wp-image-1115\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-2.png 533w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-2-300x151.png 300w\" sizes=\"auto, (max-width: 533px) 100vw, 533px\" \/><\/figure>\n\n\n\n<p>2. State Akhir = F<\/p>\n\n\n\n<p>F = {q4}<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"268\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-3.png\" alt=\"\" class=\"wp-image-1116\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-3.png 545w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-3-300x148.png 300w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"853\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-4.png\" alt=\"\" class=\"wp-image-1117\" style=\"width:555px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-4.png 621w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-4-218x300.png 218w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"541\" height=\"897\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-5.png\" alt=\"\" class=\"wp-image-1118\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-5.png 541w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-5-181x300.png 181w\" sizes=\"auto, (max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/Lampiran-B6b-30-43.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Sematan Lampiran B6b-30-43.\"><\/object><a id=\"wp-block-file--media-05aa18a4-962e-40a4-95aa-b899c49e896c\" href=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/Lampiran-B6b-30-43.pdf\">Lampiran B6b-30-43<\/a><a href=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/Lampiran-B6b-30-43.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-05aa18a4-962e-40a4-95aa-b899c49e896c\">Unduh<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Finite Automata (FA) adalah model matematika untuk sistem komputasi dengan memori terbatas. FA digunakan untuk: A. Jenis FSA Sebuah FA didefinisikan sebagai 5-tuple: M = (Q, \u03a3, \u03b4, q0, F) B. Cara kerja Finite Automata C. Graph Transisi D. Himpunan State = Q Q = {q0 , q1, q2 , q3 , q4 , q5} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[101],"tags":[],"class_list":["post-1103","post","type-post","status-publish","format-standard","hentry","category-teori-bahasa-dan-otomata"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>FINITE STATE OTOMATA (FSA) - eko&#039;s Article<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/ekomartantoh.net\/artikel\/2025\/04\/14\/finite-state-otomta-fsa\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"FINITE STATE OTOMATA (FSA) - eko&#039;s Article\" \/>\n<meta property=\"og:description\" content=\"Finite Automata (FA) adalah model matematika untuk sistem komputasi dengan memori terbatas. 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