{"id":7759,"date":"2022-04-20T09:37:57","date_gmt":"2022-04-20T04:07:57","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7759"},"modified":"2025-06-02T20:48:43","modified_gmt":"2025-06-02T15:18:43","slug":"how-to-design-a-synchronous-counter","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/how-to-design-a-synchronous-counter\/","title":{"rendered":"How to design a Synchronous counter?"},"content":{"rendered":"\n<ul class=\"wp-block-list\"><li>Synchronous counter is designed to count the number of clock pulses.<\/li><li>This counter is clocked with the same clock signal and at the same time.<\/li><li>Synchronous counters can be formed using T or JK flip flops and are edge triggered.<\/li><li>The flip flops will change their present state only when the next clock pulse arrives.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Design Steps:<\/h2>\n\n\n\n<p>The basic design steps for these counters are discussed in detail.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>First we find the number of flip flops required for the design of a synchronous counter.<\/li><li>The number of flip flops can be determined from 2^n&nbsp; \u2265 N.<\/li><\/ul>\n\n\n\n<p>Where: N \u2192number of states and n \u2192number of flip flops.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Next ew select the flip flop for the design.<\/li><li>Then we draw the state diagram of that counter.<\/li><li>With the help of an excitation table of flip flops we determine the excitation table of the counter.<\/li><li>At last we simplify the excitation table using K-map.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Design for Mod-N counter&nbsp;<\/h2>\n\n\n\n<p>The design of the mod-N synchronous counter is done through following steps.<\/p>\n\n\n\n<p><strong>Step 1 :<\/strong> <strong>Find number of flip flops&nbsp;<\/strong><\/p>\n\n\n\n<p>For the mod N counter we can find the number of flip flops from relation&nbsp;<\/p>\n\n\n\n<p><strong>N&nbsp; &lt;= 2n<\/strong><\/p>\n\n\n\n<p>Let us consider N= 10. So,<\/p>\n\n\n\n<p><strong>For n =3, <\/strong>10&lt;=8,&nbsp; which is not true. Hence again considering n= 4<\/p>\n\n\n\n<p><strong>&nbsp;<\/strong>10&lt;=16<\/p>\n\n\n\n<p>This holds true.<\/p>\n\n\n\n<p>Therefore the number of flip flops required is 4 for the Mod-10 counter.<\/p>\n\n\n\n<p><strong>Step 2 : Excitation table of Flip flops&nbsp;<\/strong><\/p>\n\n\n\n<p>We chose a T flip flop for the design. Then the excitation table for T flip flop is as shown&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/apDsG8_NXe-oukwcJK2rUHvJanYGu-Dx5p95uWd2XHb9PWruqVyTlr9w0lzuNjTPjhUPE_TcUSzoxrmJeAKgpaQ9H1R2GlN5liUuXEetZJtxbjKGl6FXalINhq81OqzSaJLfkR7T\" alt=\"\"\/><figcaption>Excitation Table for T Flip Flop<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>Step 3 : State diagram andCircuit excitation table&nbsp;<\/strong><\/p>\n\n\n\n<p>The mod-10 counter counts ten states from 0 to 9. This counter is also called the decade counter. We use four flip flops here. They are reset When QD QC QB QA = 1001.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/js6BTWQzi3AfEQfgbgE-EebGL7X4y1gVX2RAMK4HBUfaJ7aWokn9P0C9iwwTcgRwp4-v7t8e_6R8dvJgt-wZRIhEH32jXnHhcEInqMLuuwzLmDNhE_eDkOaV-FGtcn-w6fHFHgjS\" alt=\"\" width=\"604\" height=\"295\"\/><figcaption>State Diagram<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>Circuit excitation table&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\">Now QD QC QB QA are the present states of flip-flops and Q*D Q*C Q*B Q*A is the next counting state of these <a href=\"https:\/\/www.goseeko.com\/blog\/what-are-flip-flops-in-sequential-circuits\/\">Flip flops<\/a>.<\/p>\n\n\n\n<p class=\"has-text-align-left\">When there is transition in the present of QD the value changes from 0 to 1 or vice versa.&nbsp; <\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"624\" height=\"439\" src=\"https:\/\/lh4.googleusercontent.com\/NVwJCBY14X8GXxPP2bQFo0NbOSBaY9SWAYUMe-fJT2lfcnWhpU6z73UoQBkoKqq8-R6CMuA5ITW_jj7MTpge5AzQEJ4PpdUIrtcJNGcWhrWwvu5XZmJI-bMAQnAJ5329RKB_qkxe\"><\/p>\n\n\n\n<p><strong>Step 4 : Simplify <a href=\"https:\/\/www.goseeko.com\/blog\/what-are-the-rules-to-simplify-k-map\/\">K-map<\/a> for each FF input in terms of flip-flop outputs as the input variable&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/fYmnGAUEC8eT3TfcU9h6BjBRtyOLqV974l3qI753GrLABK1ml4MkFVJ1TQebSVit3qyZs9ShMcSnQtY76qlhZ1qpDvFDnlfPIeKhGExcchresOILW2JOfNul9Zdyoy5shU9YY4z6\" alt=\"\"\/><figcaption>K-map Simplification<\/figcaption><\/figure>\n\n\n\n<p><strong>Step 5 :Circuit diagram&nbsp;<\/strong><\/p>\n\n\n\n<p>The negative edge trigger is used for toggle.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The <a href=\"https:\/\/en.wikipedia.org\/wiki\/Clock_signal\">clock pulse<\/a> is synchronous to all flip flops.<\/li><li>Then the input to every flip flop is as per the equation of K map.<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/AdloijcZDB2bnPL6qzKZnSAcMXJSd_vnJxxcpH7JJ6y1SbZA-xQ9YVfj1QTgg2LZAVXMthyiC7e46cCsd1HpqLSlcX1_M-m3AQcEx_SZ0ucIioTwN87CxOzWvZGtNFyrgKwghPHa\" alt=\"\" width=\"780\" height=\"209\"\/><figcaption>Mod-10 Counter using T Flip Flop <\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Synchronous counter is designed to count the number of clock pulses. This counter is clocked with the same clock signal and at the same time<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[37],"tags":[],"class_list":["post-7759","post","type-post","status-publish","format-standard","hentry","category-electronics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to design a Synchronous counter? - Goseeko blog<\/title>\n<meta name=\"description\" content=\"Synchronous counter is designed to count the number of clock pulses. 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