{"id":4507,"date":"2025-03-18T12:29:03","date_gmt":"2025-03-18T06:59:03","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=4507"},"modified":"2025-07-16T14:19:32","modified_gmt":"2025-07-16T08:49:32","slug":"the-exclusive-or-gate","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/boolean-algebra\/the-exclusive-or-gate","title":{"rendered":"The Exclusive-OR Gate (EX-OR)"},"content":{"rendered":"<p style=\"text-align: justify;\">A basic EX-OR gate is a two input single output logic gate, whose output is assumed to be HIGH only when one and only one of its inputs is HIGH. The logic symbol and the truth table for a two input EX-OR gate are,<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-4508 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/03\/logical-expression.jpg\" alt=\"Logical Expression\" width=\"516\" height=\"170\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/03\/logical-expression.jpg 516w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/03\/logical-expression-300x99.jpg 300w\" sizes=\"auto, (max-width: 516px) 100vw, 516px\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li>Practically three or more input EX-OR gate does not exist. But when more than two variables are EX-ORed, a number of two input EX-OR gate is used. Where, the output is assumed to be \u20181\u2019 when odd number of input variables are \u20181\u2019.<\/li>\n<li>That is why, EX-OR gate is known as odd number of 1\u2019s detector in the input.<\/li>\n<li>The most important application of EX-OR gate is in \u201cparity generation and detection\u201d.<\/li>\n<li>It is also known as \u201cstair case switch\u201d<\/li>\n<li>The switching circuit of EX-OR gate is<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4509 size-full aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/03\/buffer.jpg\" alt=\"Buffer\" width=\"476\" height=\"672\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/03\/buffer.jpg 476w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/03\/buffer-213x300.jpg 213w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/boolean-algebra\/the-nor-gate\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/boolean-algebra\/the-exclusive-nor-ex-nor-gate\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-boolean-algebra\" target=\"_blank\" rel=\"noopener\"><strong>What is Boolean algebra?<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A basic EX-OR gate is a two input single output logic gate, whose output is assumed to be HIGH only<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1291,5],"tags":[1323,1467,1319,1432,1436,1464,1466,1465,1468,1443,1322],"class_list":["post-4507","post","type-post","status-publish","format-standard","hentry","category-boolean-algebra","category-ee","tag-associative-law","tag-boolean-operations","tag-commutative-law","tag-digital-electronics","tag-digital-logic","tag-ex-or-gate","tag-ex-or-truth-table","tag-exclusive-or-gate","tag-logic-circuits","tag-logic-gates","tag-logical-expression"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4507","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=4507"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4507\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=4507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=4507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=4507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}