{"id":161174,"date":"2023-10-17T15:48:32","date_gmt":"2023-10-17T10:18:32","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161174"},"modified":"2023-10-17T15:48:34","modified_gmt":"2023-10-17T10:18:34","slug":"the-product-of-sum-expression-of-a-boolean-function-%f0%9d%90%b9%f0%9d%90%b4-%f0%9d%90%b5-%f0%9d%90%b6-of-three-variables-is-given-by","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-product-of-sum-expression-of-a-boolean-function-%f0%9d%90%b9%f0%9d%90%b4-%f0%9d%90%b5-%f0%9d%90%b6-of-three-variables-is-given-by\/","title":{"rendered":"The product of sum expression of a Boolean function \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) of three variables is given by"},"content":{"rendered":"\n<p>Q. The product of sum expression of a Boolean function \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) of three variables is given by \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) = ( \ud835\udc34 + \ud835\udc35 + \ud835\udc36\u0305 ) \u2219 (\ud835\udc34 + \ud835\udc35\u0305 + \ud835\udc36\u0305) \u2219 ( \ud835\udc34\u0305 + \ud835\udc35 + \ud835\udc36 ) \u2219 ( \ud835\udc34\u0305 + \ud835\udc35\u0305 + \ud835\udc36\u0305 ) The canonical sum of product expression of \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) is given by<\/p>\n\n\n\n<p>(A) \ud835\udc34\u0305 \ud835\udc35\u0305 \ud835\udc36 + \ud835\udc34\u0305 \ud835\udc35 \ud835\udc36 + \ud835\udc34 \ud835\udc35\u0305 \ud835\udc36\u0305 + \ud835\udc34 \ud835\udc35 \ud835\udc36<\/p>\n\n\n\n<p>(B) \ud835\udc34\u0305 \ud835\udc35\u0305 \ud835\udc36\u0305 + \ud835\udc34\u0305 \ud835\udc35 \ud835\udc36\u0305 + \ud835\udc34\ud835\udc35\u0305 \ud835\udc36 + \ud835\udc34 \ud835\udc35 \ud835\udc36\u0305<\/p>\n\n\n\n<p>(C) \ud835\udc34 \ud835\udc35 \ud835\udc36\u0305 + \ud835\udc34 \ud835\udc35\u0305 \ud835\udc36\u0305 + \ud835\udc34\u0305 \ud835\udc35 \ud835\udc36 + \ud835\udc34\u0305 \ud835\udc35\u0305 \ud835\udc36\u0305<\/p>\n\n\n\n<p>(D) \ud835\udc34\u0305 \ud835\udc35\u0305 \ud835\udc36\u0305 + \ud835\udc34\u0305 \ud835\udc35 \ud835\udc36 + \ud835\udc34 \ud835\udc35 \ud835\udc36\u0305 + \ud835\udc34 \ud835\udc35 \ud835\udc36<\/p>\n\n\n\n<p>Ans: A\u0305 B\u0305 C\u0305+ A\u0305 B C\u0305+ A B\u0305 C + A B C\u0305<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The product of sum expression of a Boolean function \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) of three variables is given by \ud835\udc39(\ud835\udc34, \ud835\udc35, \ud835\udc36) = ( \ud835\udc34 + \ud835\udc35 + \ud835\udc36\u0305 ) \u2219 (\ud835\udc34 + \ud835\udc35\u0305 + \ud835\udc36\u0305) \u2219 ( \ud835\udc34\u0305 + \ud835\udc35 + \ud835\udc36 ) \u2219 ( \ud835\udc34\u0305 + \ud835\udc35\u0305 + \ud835\udc36\u0305 ) The canonical sum [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":161175,"comment_status":"open","ping_status":"closed","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":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-161174","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=161174"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161174\/revisions"}],"predecessor-version":[{"id":161176,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161174\/revisions\/161176"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161175"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}