{"id":156209,"date":"2023-08-29T15:04:41","date_gmt":"2023-08-29T09:34:41","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156209"},"modified":"2023-08-29T15:05:50","modified_gmt":"2023-08-29T09:35:50","slug":"in-the-circuit-shown-below-assume-that-the-comparators-are-ideal-and-all-components-have-zero-propagation-delay","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/in-the-circuit-shown-below-assume-that-the-comparators-are-ideal-and-all-components-have-zero-propagation-delay\/","title":{"rendered":"In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal \ud835\udc49\ud835\udc56\ud835\udc5b = 6 sin(\ud835\udf14\ud835\udc61)"},"content":{"rendered":"\n<p>Q. <span style=\"text-align: justify; background-color: var(--base-3); color: var(--contrast); font-size: 12pt;\">In the circuit shown below, assume that the comparators are ideal and all components have<span style=\"letter-spacing:.05pt\"> <\/span>zero<span style=\"letter-spacing:-.35pt\"> <\/span>propagation<span style=\"letter-spacing:-.2pt\"> <\/span>delay. In<span style=\"letter-spacing:-.3pt\"> <\/span>one<span style=\"letter-spacing:-.35pt\"> <\/span>period<span style=\"letter-spacing:-.3pt\"> <\/span>of<span style=\"letter-spacing:-.3pt\"> <\/span>the<span style=\"letter-spacing:-.3pt\"> <\/span>input<span style=\"letter-spacing:-.1pt\"> <\/span>signal<span style=\"letter-spacing:-.1pt\"> <\/span><\/span><span style=\"text-align: justify; background-color: var(--base-3); color: var(--contrast); font-size: 12pt; font-family: &quot;Cambria Math&quot;, serif;\">\ud835\udc49<sub>\ud835\udc56\ud835\udc5b<\/sub><span style=\"letter-spacing:1.25pt\"> <\/span>=<span style=\"letter-spacing:.6pt\"> <\/span>6<span style=\"letter-spacing:-.05pt\"> <\/span>sin(\ud835\udf14\ud835\udc61)<\/span><span style=\"text-align: justify; background-color: var(--base-3); color: var(--contrast); font-size: 12pt;\">,<span style=\"letter-spacing:\n-.3pt\"> <\/span>the<span style=\"letter-spacing:-.3pt\"> <\/span>fraction<span style=\"letter-spacing:-.25pt\"> <\/span>of<span style=\"letter-spacing:-.3pt\"> <\/span>the<span style=\"letter-spacing:-2.9pt\"> <\/span>time<span style=\"letter-spacing:-.1pt\"> <\/span>for<span style=\"letter-spacing:-.1pt\"> <\/span>which the output<span style=\"letter-spacing:\n.15pt\"> <\/span>OUT<span style=\"letter-spacing:-.05pt\"> <\/span>is in logic state<span style=\"letter-spacing:-.05pt\"> <\/span>HIGH<span style=\"letter-spacing:-.05pt\"> <\/span>is<\/span> <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-45.png\" alt=\"\" class=\"wp-image-156210\" style=\"width:449px;height:192px\" width=\"449\" height=\"192\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-45.png 857w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-45-300x128.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-45-768x328.png 768w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>The output represents X-NOR gate. <\/p>\n\n\n\n<p>So, the given diagram can be simplified as<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"381\" height=\"280\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-613.png\" alt=\"\" class=\"wp-image-156211\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-613.png 381w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-613-300x220.png 300w\" sizes=\"(max-width: 381px) 100vw, 381px\" \/><\/figure>\n\n\n\n<p>0 \u2264 Vin &lt; 3 happens for the period 0 to 30\u00b0 and 150\u00b0 to 180\u00b0 the output is high for, 30 to 150\u00b0 and 180\u00b0 to 360\u00b0  Total period gets high output = 300<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"226\" height=\"40\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-614.png\" alt=\"\" class=\"wp-image-156212\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal \ud835\udc49\ud835\udc56\ud835\udc5b = 6 sin(\ud835\udf14\ud835\udc61), the fraction of the time for which the output OUT is in logic state HIGH is Sol: The output represents X-NOR gate. So, the given [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156213,"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-156209","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\/156209","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=156209"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156209\/revisions"}],"predecessor-version":[{"id":156214,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156209\/revisions\/156214"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156213"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}