{"id":1141,"date":"2025-04-28T01:08:27","date_gmt":"2025-04-28T01:08:27","guid":{"rendered":"https:\/\/ekomartantoh.net\/artikel\/?p=1141"},"modified":"2025-04-28T01:08:29","modified_gmt":"2025-04-28T01:08:29","slug":"tahapan-pengubahan-ndfa-ke-dfa","status":"publish","type":"post","link":"https:\/\/ekomartantoh.net\/artikel\/2025\/04\/28\/tahapan-pengubahan-ndfa-ke-dfa\/","title":{"rendered":"Tahapan Pengubahan NDFA ke DFA"},"content":{"rendered":"\n<p>Dari mesin Non Deterministic Finite Automata (NDFA) dapat dibuat mesin Deterministic Finite Automa (DFA) yang ekivalen (bersesuaian). Definisi ekivalin disini artinya mampu menerima bahasa yang sama.<\/p>\n\n\n\n<p>Berikut ini kita akan membuat DFA yang ekivalen dengan NDFA.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"411\" height=\"176\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-14.png\" alt=\"\" class=\"wp-image-1142\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-14.png 411w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-14-300x128.png 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/figure>\n\n\n\n<p>Pertama-tama yang kita lakukan adalah membuat tabel transisi NFA tersebut.<\/p>\n\n\n\n<p>Bila diketahui \u2211 = {0,1} <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"348\" height=\"202\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-15.png\" alt=\"\" class=\"wp-image-1143\" style=\"width:267px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-15.png 348w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-15-300x174.png 300w\" sizes=\"auto, (max-width: 348px) 100vw, 348px\" \/><\/figure>\n\n\n\n<p>Kita mulai dengan state awal, kemudian mengikuti transisinya membentuk state-state baru, untuk setiap state yang terbetuk diikuti lagi transisinya sampai tercover semua.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"966\" height=\"292\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-16.png\" alt=\"\" class=\"wp-image-1145\" style=\"width:807px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-16.png 966w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-16-300x91.png 300w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-16-768x232.png 768w\" sizes=\"auto, (max-width: 966px) 100vw, 966px\" \/><\/figure>\n\n\n\n<p>State {q0} bila memperoleh input 0 menjadi {q0,q1}<br>State {q0} bila memperoleh input 1 menjadi {q1}<\/p>\n\n\n\n<p>Selanjutnya kita telusuri state-state baru yang terbentuk:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>State {q1) bila memperoleh input 0 menjadi state \u00f8 <\/li>\n\n\n\n<li>State {q1} bila memperoleh input 1 menjadi sate {q0,q1}<\/li>\n\n\n\n<li>State {q0,q1} bila memperoleh input 0 menjadi sate {q0,q1}, ini diperoleh dari \u03b4(q0,0) = {q0,q1} digabungkan dengan \u03b4(q1,0) = \u00f8, maka hasilnya \u03b4({q0,q1},0) = {q0,q1}<\/li>\n\n\n\n<li>State {q0,q1} bila memperoleh input 1 menjadi sate {q0,q1}, ini diperoleh dari \u03b4(q0,1) = {q1} digabungkan dengan \u03b4(q1,1) = {q0.q1}, maka hasilnya \u03b4({q0,q1},1) = {q0,q1}<\/li>\n<\/ol>\n\n\n\n<p>Perhatikan state yang sama cukup ditulis sekali saja<\/p>\n\n\n\n<p>Hasilnya:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"630\" height=\"366\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-17.png\" alt=\"\" class=\"wp-image-1147\" style=\"width:557px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-17.png 630w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-17-300x174.png 300w\" sizes=\"auto, (max-width: 630px) 100vw, 630px\" \/><\/figure>\n\n\n\n<p>Hasil setelah penelusuran {q1} dan {q0,q1}, perhatikan q1 setelah menerima 0 menjasi sate \u00f8, disini \u00f8 digambarkan sebagai state.<\/p>\n\n\n\n<p>Selanjutnya semua state sudah kita telusuri\/dirunut, tinggal state \u00f8. State \u00f8 menerima input 0 atau 1 menjadi state \u00f8 atau \u03b4(\u00f8,0) = \u00f8 dan \u03b4(\u00f8,1) = \u00f8.<\/p>\n\n\n\n<p>Hasil setelah semua ditelusuri:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"659\" height=\"327\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-18.png\" alt=\"\" class=\"wp-image-1148\" style=\"width:595px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-18.png 659w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-18-300x149.png 300w\" sizes=\"auto, (max-width: 659px) 100vw, 659px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Pada mesin NDFA semula, himpunan state akhir adalah {q1} maka pada DFA hasil perubahannya state-state akhir adalah semua state yang mengandung {q1}. Maka state akhirnya sekarang adalah state {q1} dan state {q0,q1} atau secara formal F = {{q1},{q0,q1}}.<\/p>\n\n\n\n<p>Hasil semua setelah ditelusuri:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"462\" src=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-19-1024x462.png\" alt=\"\" class=\"wp-image-1149\" style=\"width:512px;height:auto\" srcset=\"https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-19-1024x462.png 1024w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-19-300x135.png 300w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-19-768x346.png 768w, https:\/\/ekomartantoh.net\/artikel\/wp-content\/uploads\/2025\/04\/image-19.png 1166w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Bila diketahui NDFA gambar semula menerima &#8216;001&#8217; maka seharusnya DFA hasil peneluran menerima string yang sama.<\/p>\n\n\n\n<p><strong>\u03b4(q0,001) = \u03b4({q0,1},01) = \u03b4({q0,q1},1) = {q0,q1}<\/strong><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dari mesin Non Deterministic Finite Automata (NDFA) dapat dibuat mesin Deterministic Finite Automa (DFA) yang ekivalen (bersesuaian). Definisi ekivalin disini artinya mampu menerima bahasa yang sama. Berikut ini kita akan membuat DFA yang ekivalen dengan NDFA. Pertama-tama yang kita lakukan adalah membuat tabel transisi NFA tersebut. Bila diketahui \u2211 = {0,1} Kita mulai dengan state [&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-1141","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>Tahapan Pengubahan NDFA ke DFA - 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=\"https:\/\/ekomartantoh.net\/artikel\/2025\/04\/28\/tahapan-pengubahan-ndfa-ke-dfa\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tahapan Pengubahan NDFA ke DFA - eko&#039;s Article\" \/>\n<meta property=\"og:description\" content=\"Dari mesin Non Deterministic Finite Automata (NDFA) dapat dibuat mesin Deterministic Finite Automa (DFA) yang ekivalen (bersesuaian). 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