{"id":6462,"date":"2025-12-24T18:15:06","date_gmt":"2025-12-24T12:45:06","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=6462"},"modified":"2025-12-26T16:02:07","modified_gmt":"2025-12-26T10:32:07","slug":"what-are-logic-gates-types-uses","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses","title":{"rendered":"What are logic gates? Definition, Types and Uses"},"content":{"rendered":"<div style=\"text-align: justify;\">Logic gates are one of the easiest, highest-scoring, and most important topics for ESE and GATE aspirants from electrical, electronics, instrumentation, computer science, and IT streams. Aspirants can easily score good marks in this topic if they have clear conceptual knowledge. To assist aspirants in their preparation, we explain some basic points of logic gates. This article will help not only <a href=\"https:\/\/blog.madeeasy.in\/goal-setting-tips-for-competitive-exam-success\" target=\"_blank\" rel=\"noopener\">competitive exam<\/a> aspirants but also college-going students.<\/div>\n<div><\/div>\n<h2 style=\"text-align: justify;\"><strong>What are Logic Gates?<\/strong><\/h2>\n<p style=\"text-align: justify;\">Logic gates are electronic circuits that make logical decisions. Logic gates, in their physical form, are typically found within LSI (Large-Scale Integration) and VLSI (Very Large-Scale Integration) circuits, which also contain many other components. Logic gates allow computers to make logical choices. When using a logic gate, binary numbers (1s and 0s) are used as inputs, and by applying different rules, the logic gate produces an output that is a single number. Every output and input utilized by a logic gate will be one of two different values (False = Low = 0, True = High = 1).<\/p>\n<p style=\"text-align: justify;\">Logic gates are composed of at least two inputs, with the exception of the NOT gate, which has only one input. A truth table can be created to define the relationship between the inputs of each logic gate and its corresponding output.<\/p>\n<p style=\"text-align: justify;\">All of the functions performed by a logical gate can be described using <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-boolean-algebra\" target=\"_blank\" rel=\"noopener\">Boolean algebra<\/a>.<\/p>\n<h2 style=\"text-align: justify;\"><strong>Types of Logic Gates<\/strong><\/h2>\n<p style=\"text-align: justify;\">Logic gates are classified into 3 categories:<\/p>\n<ul style=\"text-align: justify;\">\n<li><a href=\"https:\/\/study.madeeasy.in\/ee\/boolean-algebra\/basic-gates\" target=\"_blank\" rel=\"noopener\">Basic logic gates<\/a><\/li>\n<li>Universal logic gates<\/li>\n<li>Special-purpose logic gates<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Let us look at each category one by one.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#Basic-logic-gates\" >Basic logic gates<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#Logic-Gates-for-GATE\" >Logic Gates for GATE<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#FAQs\" >FAQs:<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#1-Why-are-logic-gates-important\" >1. Why are logic gates important?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#2-What-is-a-truth-table-in-logic-gates\" >2. What is a truth table in logic gates?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#3-Which-logic-gates-are-called-universal-gates\" >3. Which logic gates are called universal gates?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#4-What-is-the-basic-logic-gate\" >4. What is the basic logic gate?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/what-are-logic-gates-types-uses\/#5-Are-logic-gates-part-of-digital-electronics\" >5. Are logic gates part of digital electronics?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Basic-logic-gates\"><\/span><strong><u>Basic logic gates<\/u><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Basic logic gates are the simplest logic gates which perform basic operations. Every other logic gate is build using these logic gates only.<\/p>\n<p style=\"text-align: justify;\">The three basic logic gates are: NOT, AND, OR.<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><u>NOT Gate: <\/u><\/strong>Known as the \u201cinverter,\u201d the NOT gate performs the inversion or complementation function. It has a single input and a single output. The output logic level of a NOT gate is always opposite to the logic level of the input, i.e., when a HIGH level is applied as an input, the inverter shows a LOW level at its output and vice versa. The symbol of the NOT operation is represented by the symbol (\u2014) (bar). Therefore, for any input <em>A,<\/em> the output of the NOT gate is A.<\/li>\n<\/ul>\n<p><strong>The symbol of NOT gate is given below:<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6469\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/input-a-y-out-put.jpg\" alt=\"Input and Output\" width=\"635\" height=\"180\" \/><\/p>\n<p style=\"text-align: justify;\">The truth table for NOT gate is<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th width=\"160\">Input<\/th>\n<th width=\"160\">Output<\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"160\">0<\/td>\n<td style=\"text-align: center;\" width=\"160\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"160\">1<\/td>\n<td style=\"text-align: center;\" width=\"160\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">The switching circuit and <a href=\"https:\/\/study.madeeasy.in\/ec\/electronic-devices-circuits\/what-is-the-function-of-a-transistor-in-an-electronic-device\" target=\"_blank\" rel=\"noopener\">transistor circuit<\/a> is given below.<\/p>\n<p style=\"text-align: justify;\">For the switching circuit<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6471\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/v-y-bulb.jpg\" alt=\"Bulb\" width=\"639\" height=\"326\" \/><\/p>\n<p style=\"text-align: justify;\">When,<\/p>\n<ul style=\"text-align: justify;\">\n<li>Switch <em>K <\/em>is open, i.e. logic \u20180\u2019 then, bulb glows (shows logic 1).<\/li>\n<li>Switch <em>K <\/em>is closed, i.e. logic \u20181\u2019 then, bulb does not glows (shows logic 0)<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Similarly, for the transistor circuit<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6476 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/av-cc-gnd.jpg\" alt=\"GND\" width=\"521\" height=\"405\" \/><\/p>\n<p style=\"text-align: justify;\">When,<\/p>\n<ul>\n<li>A=0; T=Off and Y=+Vcc<\/li>\n<li>A=1; T=On; and Y=Ground<\/li>\n<\/ul>\n<p><strong>AND Gate: <\/strong>An AND gate can have two or more inputs but only one output. The output of AND gate is HIGH if both of the inputs are HIGH and LOW if anyone of the input is LOW. The logic symbol of AND gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6503 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby-aby-3-1.jpg\" alt=\"AND Gate\" width=\"300\" height=\"150\" \/><\/p>\n<p>The truth table of AND gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"95\"><strong>Input<\/strong><\/th>\n<th width=\"64\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"47\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"64\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"64\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"64\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"64\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"64\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">The logical expression of AND gate is<\/p>\n<p style=\"text-align: justify;\">AND Gate follows both commutative and associative law as:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Commutative law:<\/strong> AB = BA<\/li>\n<li style=\"text-align: justify;\"><strong>Associative law:<\/strong> ABC=(AB)C=A(BC)<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The switching circuit diagram for the AND gate is shown below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6482 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vabyab-bulb.jpg\" alt=\"AND Gate \" width=\"491\" height=\"257\" \/><\/p>\n<p style=\"text-align: justify;\">The bulb will glow only when both the switches <em>A <\/em>and <em>B <\/em>are closed or at logic \u201c1.\u201d<\/p>\n<p><strong><u>OR Gate <\/u><\/strong>: OR gate can have two or more inputs but only one output. The output of AND gate is HIGH if any one of the inputs is HIGH and LOW if both of the input is LOW. The logic symbol of OR gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6484 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby-2.jpg\" alt=\"OR gate \" width=\"413\" height=\"129\" \/><\/p>\n<p>The truth table of OR gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"95\"><strong>Input<\/strong><\/th>\n<th width=\"64\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"47\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"64\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"64\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"64\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"47\">0<\/td>\n<td style=\"text-align: center;\" width=\"64\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"47\">1<\/td>\n<td style=\"text-align: center;\" width=\"64\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">The logical expression of OR gate is Y=A+B<\/p>\n<p style=\"text-align: justify;\">AND Gate follows both commutative and associative law as:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Commutative law:<\/strong> A+B=B+A<\/li>\n<li style=\"text-align: justify;\"><strong>Associative law:<\/strong> A+B+C=(A+B)+C=A+(B+C)<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The switching <a href=\"https:\/\/study.madeeasy.in\/category\/ec\/analog-circuits\" target=\"_blank\" rel=\"noopener\">circuit diagram<\/a> for AND gate is shown below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6486 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vab-bulb.jpg\" alt=\"Circuit diagram for AND \" width=\"510\" height=\"256\" \/><\/p>\n<p style=\"text-align: justify;\">The bulb will glow only when any of the switch (either <em>A <\/em>or <em>B) <\/em>are closed or at logic \u201c1\u201d.<\/p>\n<p style=\"text-align: justify;\"><strong><u>Universal logic gates<\/u><\/strong><\/p>\n<p style=\"text-align: justify;\">Those logic gates which can perform all the three basic function of AND, OR and NOT gates are called Universal logic gate. NAND gate and NOR gate are called universal gate.<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><u>NAND Gate:<\/u><\/strong> NAND Gate is the combination of AND gate followed by NOT gate. Therefore, the working of NAND gate is NOT-AND operation. NAND gate may have two or more input but only one output. The output of <a href=\"https:\/\/study.madeeasy.in\/ee\/boolean-algebra\/the-nand-gate\" target=\"_blank\" rel=\"noopener\">NAND gate<\/a> is LOW when both the inputs are HIGH otherwise for any other case, the output of NAND gate is HIGH.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The logic symbol of NAND Gate is given below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6488 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby-aby.jpg\" alt=\"NAND Gate\" width=\"496\" height=\"124\" \/><\/p>\n<p style=\"text-align: justify;\">The truth table of NAND gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"274\"><strong>Input<\/strong><\/th>\n<th width=\"186\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"137\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"137\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"186\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"137\">0<\/td>\n<td style=\"text-align: center;\" width=\"137\">0<\/td>\n<td style=\"text-align: center;\" width=\"186\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"137\">0<\/td>\n<td style=\"text-align: center;\" width=\"137\">1<\/td>\n<td style=\"text-align: center;\" width=\"186\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"137\">1<\/td>\n<td style=\"text-align: center;\" width=\"137\">0<\/td>\n<td style=\"text-align: center;\" width=\"186\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"137\">1<\/td>\n<td style=\"text-align: center;\" width=\"137\">1<\/td>\n<td style=\"text-align: center;\" width=\"186\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">The logical expression for the output of NAND Gate is Y=A \u0305+ B \u0305=(A.B) \u0305<br \/>\nThe NAND Gate is also called active LOW OR gate.<\/p>\n<p style=\"text-align: justify;\">NAND Gate follows only commutative but not associative law as:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Commutative law:<\/strong> (A.B) \u0305=(B.A) \u0305<\/li>\n<li style=\"text-align: justify;\"><strong>Associative law:<\/strong> (ABC) \u0305=A \u0305+B \u0305+C \u0305<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The switching circuit diagram for NAND gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6490 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vab-y-bulb.jpg\" alt=\"NAND GATE \" width=\"405\" height=\"251\" \/><\/p>\n<p style=\"text-align: justify;\">The bulb will glow when any one of the switch (<em>A <\/em>or <em>B<\/em>) is open.<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><u>NOR Gate: <\/u><\/strong>NOR Gate is the combination of OR gate and NOT gate. Therefore, the working of NOR gate is NOT-OR operation. NOR gate may have two or more input but only one output. The output of NAND gate is LOW when any one or both of the inputs is HIGH, if both the inputs are LOW, then the output of AND gate is HIGH.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The logic symbol of NOR Gate is given below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6492 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby-aby-3.jpg\" alt=\"NOR GATE\" width=\"472\" height=\"118\" \/><\/p>\n<p style=\"text-align: justify;\">The truth table of NOR gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"278\"><strong>Input<\/strong><\/th>\n<th width=\"193\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"139\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"139\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"193\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"139\">0<\/td>\n<td style=\"text-align: center;\" width=\"139\">0<\/td>\n<td style=\"text-align: center;\" width=\"193\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"139\">0<\/td>\n<td style=\"text-align: center;\" width=\"139\">1<\/td>\n<td style=\"text-align: center;\" width=\"193\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"139\">1<\/td>\n<td style=\"text-align: center;\" width=\"139\">0<\/td>\n<td style=\"text-align: center;\" width=\"193\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"139\">1<\/td>\n<td style=\"text-align: center;\" width=\"139\">1<\/td>\n<td style=\"text-align: center;\" width=\"193\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">The logical expression for the output of NOR Gate is Y=A \u0305 B \u0305=(A+B) \u0305<br \/>\nThe NOR Gate is also called active LOW AND gate.<\/p>\n<p style=\"text-align: justify;\">NOR Gate follows only commutative but not associative law as:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Commutative law:<\/strong> (A+B) \u0305=(B+A) \u0305<\/li>\n<li style=\"text-align: justify;\"><strong>Associative law:<\/strong> (A+B+C) \u0305=(ABC) \u0305<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The switching circuit diagram for NOR gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-6494 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vab-bulb-300x192.png\" alt=\"LOW AND gate\" width=\"300\" height=\"192\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/12\/vab-bulb-300x192.png 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/12\/vab-bulb.png 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p style=\"text-align: justify;\">The bulb will not glow if any of the switch (<em>A <\/em>or <em>B<\/em>) is closed.<\/p>\n<p style=\"text-align: justify;\"><strong><u>Special Purpose Logic Gate:<\/u><\/strong> EX-OR (Exclusive-OR) and EX-NOR (Exclusive-NOR) gates are called special purpose logic gates.<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><u>Exclusive-OR Gate (EX-OR) :<\/u><\/strong> EX-OR gate has two input and single output. The output of EX-OR gate is HIGH when only one input is HIGH or, the output is HIGH when both the inputs are different.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The logic symbol of EX-OR Gate is given below:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6480 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby.jpg\" alt=\"Input and Output\" width=\"458\" height=\"110\" \/><\/p>\n<p>The truth table of EX-OR gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"152\"><strong>Input<\/strong><\/th>\n<th width=\"103\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"76\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"103\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"103\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"103\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"103\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"103\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">EX-OR gate is used in \u201cparity generation and detection\u201d. It is also known as \u201cstair case switch\u201d.<\/p>\n<p style=\"text-align: justify;\">EX-OR Gate follows both commutative and associative law as:<\/p>\n<p style=\"text-align: justify;\">The switching circuit diagram for EX-OR gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6499 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vbb-aa-bulb.jpg\" alt=\"circuit diagram for EX-OR gate \" width=\"602\" height=\"265\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li><strong><u>Exclusive-NOR Gate (EX-NOR) :<\/u><\/strong> EX-NOR gate has two input and single output. The output of EX-NOR gate is HIGH when both the inputs are same.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">The logic symbol of EX-OR Gate is given below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6497 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/aby-3-1.jpg\" alt=\"EX-OR Gate\" width=\"461\" height=\"119\" \/><\/p>\n<p style=\"text-align: justify;\">The truth table of EX-OR gate is given below:<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th colspan=\"2\" width=\"152\"><strong>Input<\/strong><\/th>\n<th width=\"103\"><strong>Output<\/strong><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"76\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"103\"><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"103\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"103\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"76\">0<\/td>\n<td style=\"text-align: center;\" width=\"103\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"76\">1<\/td>\n<td style=\"text-align: center;\" width=\"103\">1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">EX-NOR gate is also called \u201cgate of equivalence\u201d or \u201ccoincidence logic\u201d.<\/p>\n<p style=\"text-align: justify;\">EX-OR Gate follows both commutative and associative law as:<\/p>\n<p style=\"text-align: justify;\">The switching circuit diagram for EX-OR gate is given below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6501 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/12\/vbb-aay-bulb.jpg\" alt=\"coincidence logic\" width=\"420\" height=\"235\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Logic-Gates-for-GATE\"><\/span><strong>Logic Gates for GATE<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Logic gates are one of the highly important topics for GATE EE, EC, CSE\/IT aspirants. Complete and thorough knowledge of logic gates is helpful in understanding various concepts.<\/p>\n<p style=\"text-align: justify;\">Candidates preparing for <a href=\"https:\/\/www.madeeasy.in\/exams\/gate\">GATE exam<\/a> can visit MADE EASY website to know about relevant courses for different streams.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><strong>FAQs:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"1-Why-are-logic-gates-important\"><\/span>1. Why are logic gates important?<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\"><strong>Answer:<\/strong> Logic Gates are important because they help in understanding various process in digital electronics. They are the basics of all digital system.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"2-What-is-a-truth-table-in-logic-gates\"><\/span>2. What is a truth table in logic gates?<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\"><strong>Answer:<\/strong> Truth table in logic gates represent the relation between input and output for different logic gates.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"3-Which-logic-gates-are-called-universal-gates\"><\/span>3. Which logic gates are called universal gates?<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\"><strong>Answer:<\/strong> NAND and NOR gate are universal gates.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"4-What-is-the-basic-logic-gate\"><\/span>4. What is the basic logic gate?<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\"><strong>Answer:<\/strong> NOT, AND, OR gates are basic logic gate.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"5-Are-logic-gates-part-of-digital-electronics\"><\/span>5. Are logic gates part of digital electronics?<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\"><strong>Answer:<\/strong> Yes, logic gate are part of digital electronics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Logic gates are one of the easiest, highest-scoring, and most important topics for ESE and GATE aspirants from electrical, electronics,<\/p>\n","protected":false},"author":1,"featured_media":6506,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[1921,1919,1920,1922,1918],"class_list":["post-6462","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ee","tag-digital-electronics-logic-gates","tag-logic-gates-for-gate","tag-nand-and-nor-universal-gates","tag-truth-table-of-logic-gates","tag-types-of-logic-gates"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/6462","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=6462"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/6462\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media\/6506"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=6462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=6462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=6462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}