{"id":411,"date":"2026-10-05T13:51:42","date_gmt":"2026-10-05T13:51:42","guid":{"rendered":"https:\/\/otomasiplcbandung.com\/?p=411"},"modified":"2026-10-05T14:11:07","modified_gmt":"2026-10-05T14:11:07","slug":"tabel-kebenaran","status":"publish","type":"post","link":"https:\/\/otomasiplcbandung.com\/?p=411","title":{"rendered":"TABEL KEBENARAN"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"> Pembahasan mengenai <strong>Tabel Kebenaran (Truth Table) dan Aljabar Boole<\/strong> ini pasti akan menjadi artikel yang sangat seru, interaktif, dan dicari banyak orang karena merupakan fondasi utama logika digital dalam PLC [lL5sgy.png].<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Memahami Tabel Kebenaran &amp; Aljabar Boole pada PLC (Bahasa Ladder)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Sahabat otomasi, setelah kita memahami bentuk fisik kontak NO dan NC pada artikel sebelumnya, sekarang kita akan membedah <strong>&#8220;otak&#8221;<\/strong> dari logika tersebut menggunakan <strong>Tabel Kebenaran<\/strong> dan <strong>Hukum Boole<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dalam dunia PLC, logika hanya mengenal dua kondisi:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0 (OFF \/ Salah \/ Tidak Aktif \/ Arus Terputus)<\/strong><\/li>\n\n\n\n<li><strong>1 (ON \/ Benar \/ Aktif \/ Arus Mengalir)<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Berikut adalah tabel kebenaran lengkap untuk setiap gerbang logika beserta aplikasinya pada diagram <em>Ladder<\/em>:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Bagian 1: Tabel Kebenaran Gerbang Logika Dasar<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">1. Gerbang AND (Logika Seri)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Gerbang ini bekerja seperti dua sakelar yang dipasang berurutan. Arus hanya mengalir jika sakelar A <strong>DAN<\/strong> sakelar B sama-sama ditutup.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th class=\"has-text-align-left\" data-align=\"left\">Input A<\/th><th class=\"has-text-align-left\" data-align=\"left\">Input B<\/th><th class=\"has-text-align-left\" data-align=\"left\">Output (Y)<\/th><th class=\"has-text-align-left\" data-align=\"left\">Kondisi Kontak PLC<\/th><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">A (Terbuka), B (Terbuka) $\\rightarrow$ Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">A (Ditutup), B (Terbuka) $\\rightarrow$ Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">A (Terbuka), B (Ditutup) $\\rightarrow$ Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">A (Ditutup), B (Ditutup) $\\rightarrow$ <strong>Menyala<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Persamaan Boole:<\/strong> $Y = A \\cdot B$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">2. Gerbang OR (Logika Paralel)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Gerbang ini memberikan jalan alternatif. Output akan menyala jika sakelar A <strong>ATAU<\/strong> sakelar B ditutup.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th class=\"has-text-align-left\" data-align=\"left\">Input A<\/th><th class=\"has-text-align-left\" data-align=\"left\">Input B<\/th><th class=\"has-text-align-left\" data-align=\"left\">Output (Y)<\/th><th class=\"has-text-align-left\" data-align=\"left\">Kondisi Kontak PLC<\/th><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Kedua jalur terputus $\\rightarrow$ Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Jalur A mengalirkan arus $\\rightarrow$ <strong>Menyala<\/strong><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Jalur B mengalirkan arus $\\rightarrow$ <strong>Menyala<\/strong><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Kedua jalur mengalirkan arus $\\rightarrow$ <strong>Menyala<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Persamaan Boole:<\/strong> $Y = A + B$<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Bagian 2: Tabel Kebenaran Gerbang Logika Kombinasi (Sangat Seru!)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Di sinilah logika pemrograman mulai menantang dan sering digunakan untuk sistem pengaman (<em>safety interlock<\/em>) mesin industri.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. Gerbang XOR (Exclusive OR)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Logika Unik:<\/em> Output hanya akan bernilai 1 jika kedua inputnya <strong>berbeda<\/strong>. Jika inputnya sama (sama-sama 0 atau sama-sama 1), output justru mati.<br><em>Aplikasi PLC:<\/em> Digunakan pada sakelar lampu tangga (bisa dinyalakan\/dimatikan dari lantai 1 maupun lantai 2 secara bergantian).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th class=\"has-text-align-left\" data-align=\"left\">Input A<\/th><th class=\"has-text-align-left\" data-align=\"left\">Input B<\/th><th class=\"has-text-align-left\" data-align=\"left\">Output (Y)<\/th><th class=\"has-text-align-left\" data-align=\"left\">Arti Logika<\/th><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Kedua sakelar posisinya sama $\\rightarrow$ Lampu Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Sakelar A diubah posisinya $\\rightarrow$ <strong>Lampu Menyala<\/strong><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Sakelar B diubah posisinya $\\rightarrow$ <strong>Lampu Menyala<\/strong><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Kedua sakelar ditekan bersamaan $\\rightarrow$ Lampu Mati<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Persamaan Boole:<\/strong> $Y = (A \\cdot \\overline{B}) + (\\overline{A} \\cdot B)$<\/li>\n\n\n\n<li><em>Desain Ladder:<\/em> Baris paralel berisi <code>(NO A seri NC B)<\/code> di cabang atas, dan <code>(NC A seri NO B)<\/code> di cabang bawah.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">2. Gerbang XNOR (Exclusive NOR)<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Kebalikan dari XOR. Output justru akan aktif (1) jika kedua input berada dalam <strong>kondisi yang sama<\/strong>.<br><em>Aplikasi PLC:<\/em> Digunakan untuk sistem deteksi sinkronisasi atau komparator (memastikan dua sensor harus aktif bersamaan atau mati bersamaan demi keamanan).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th class=\"has-text-align-left\" data-align=\"left\">Input A<\/th><th class=\"has-text-align-left\" data-align=\"left\">Input B<\/th><th class=\"has-text-align-left\" data-align=\"left\">Output (Y)<\/th><th class=\"has-text-align-left\" data-align=\"left\">Arti Logika<\/th><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Keduanya sama-sama OFF $\\rightarrow$ <strong>Aman\/Aktif<\/strong><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Salah satu sensor tidak sinkron $\\rightarrow$ Bahaya\/Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">0<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>0<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Salah satu sensor tidak sinkron $\\rightarrow$ Bahaya\/Mati<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\">1<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>1<\/strong><\/td><td class=\"has-text-align-left\" data-align=\"left\">Keduanya sama-sama ON $\\rightarrow$ <strong>Aman\/Aktif<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Persamaan Boole:<\/strong> $Y = (A \\cdot B) + (\\overline{A} \\cdot \\overline{B})$<\/li>\n\n\n\n<li><em>Desain Ladder:<\/em> Baris paralel berisi <code>(NO A seri NO B)<\/code> di cabang atas, dan <code>(NC A seri NC B)<\/code> di cabang bawah.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Tips untuk Siswa SMK &amp; Teknisi Pabrik<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Saat merancang <em>Ladder Diagram<\/em>, selalu gunakan hukum penyederhanaan Boole yang telah kita bahas sore tadi. Menyederhanakan gerbang logika berarti mengurangi jumlah kontak NO\/NC di dalam program. Hasilnya:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Program PLC menjadi lebih <strong>bersih dan mudah dibaca<\/strong>.<\/li>\n\n\n\n<li>Waktu pemindaian (<em>scan time<\/em>) mikroprosesor PLC menjadi <strong>lebih cepat<\/strong>.<\/li>\n\n\n\n<li>Meminimalisir kesalahan pelacakan kerusakan (<em>troubleshooting<\/em>) saat mesin pabrik mengalami gangguan.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pembahasan mengenai Tabel Kebenaran (Truth Table) dan Aljabar Boole ini pasti akan menjadi artikel yang sangat seru, interaktif, dan dicari [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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