{"id":3673,"date":"2021-07-09T12:16:52","date_gmt":"2021-07-09T06:46:52","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=3673"},"modified":"2025-10-19T16:49:57","modified_gmt":"2025-10-19T11:19:57","slug":"what-are-encoders-and-decoders","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-are-encoders-and-decoders\/","title":{"rendered":"What are Encoders and Decoders?"},"content":{"rendered":"\n<ul class=\"wp-block-list\">\n<li>Encoders convert 2<sup>N<\/sup> lines of input into a code of N bits and Decoders decode those N bits into 2<sup>N<\/sup> lines.<\/li>\n\n\n\n<li>Binary code of N digits is used to store 2<sup>N<\/sup> distinct elements of coded information.<\/li>\n\n\n\n<li>This is the reason encoders and decoders are used.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Encoders \u2013<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It is a combinational circuit which converts binary information in the form of a 2<sup>N<\/sup> input lines into N output lines, which represent N bit code for the input.<\/li>\n\n\n\n<li>For simple encoders, only one input line is active at a time.<\/li>\n\n\n\n<li>For example: <strong>Octal to Binary<\/strong> encoder takes 8 input lines and generates 3 output lines.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"295\" src=\"https:\/\/lh3.googleusercontent.com\/XQdX-Gz7s8hoEiIMD5bVkl3MnEjtzWXGuirXMClHUN4uTyo7SD4-lK7fDwa7-2ulcNRmMNw5RDJLQktDyfrlovC9O7fEOTWiO6Kib1FegJYJLbNHYcgGKXDQ4z_FabYo4k_IfEMr\"><\/p>\n\n\n\n<p><strong>Truth Table \u2013<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"705\" height=\"256\" src=\"https:\/\/i0.wp.com\/www.goseeko.com\/blog\/wp-content\/uploads\/2022\/04\/image-9.png?resize=705%2C256&#038;ssl=1\" alt=\"\" class=\"wp-image-7721\"\/><\/figure>\n\n\n\n<p>The truth table shows that the output is 000 when D0 is active; 001 when D1 is active; 010 when D2 is active and so on.<\/p>\n\n\n\n<p><strong>Implementation of Encoders \u2013<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>From the above truth table, the output Z is active when the input octal digit is 1, 3, 5 or 7.<\/li>\n\n\n\n<li>Y will be active when we have the input octal digit <a href=\"https:\/\/julichain.com\/careers\/\">olxslot<\/a> is 2, 3, 6 or 7 and X is active when input octal digits 4, 5, 6 or 7.<\/li>\n\n\n\n<li>Hence, the Boolean functions would be:<\/li>\n<\/ul>\n\n\n\n<p>X = D4 + D5 + D6 + D7<\/p>\n\n\n\n<p>&nbsp;Y = D2 +D3 + D6 + D7<\/p>\n\n\n\n<p>&nbsp;Z = D1 + D3 + D5 + D7&nbsp;<\/p>\n\n\n\n<p>Hence, the encoder is realized using OR gates is shown below<\/p>\n\n\n\n<p class=\"has-text-align-center\"><img loading=\"lazy\" decoding=\"async\" width=\"538\" height=\"204\" src=\"https:\/\/lh3.googleusercontent.com\/MpQWevCVtcb_LccDMouQ4YKHcXWnZGIWXAAAo1okjHhihHC16fPVCuzXRFACvkqQLhDio34ywCij2FRumL6shPKotsW0a1CGnekH3wBP1-Pf4MXGcmIqX6-K_UfFrtMQauZvGloI\"><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In encoders only one input is active at one particular time. <\/li>\n\n\n\n<li>If more than one input is active, then the output of the encoder is undefined.&nbsp;<\/li>\n\n\n\n<li>For example, if D6 and D3 are both active, then, our output would be 111 which is the output for D7.&nbsp;<\/li>\n\n\n\n<li>Problem arises when all inputs are 0.&nbsp;<\/li>\n\n\n\n<li>Then the encoder gives output 000 which actually is the output for D0. To avoid this, we add an extra bit to the output which is the valid bit. This valid bit has value 0 when all inputs are 0 or 1.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"What is an ENCODER - Linear and Rotary encoder - Incremental and Absolute encoder\" width=\"1170\" height=\"658\" src=\"https:\/\/www.youtube.com\/embed\/nnk0DV5kgMk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Decoders \u2013<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It works as an inverse of an encoder.<\/li>\n\n\n\n<li>It is a combinational <a href=\"https:\/\/weddingcelebrantfrance.com\/welcome\/\">https:\/\/weddingcelebrantfrance.com\/welcome\/<\/a> circuit which converts n input lines into 2n output lines.<\/li>\n\n\n\n<li>Take an example of a 3-to-8 line decoder.<\/li>\n<\/ul>\n\n\n\n<p><strong>Truth Table \u2013<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"690\" height=\"264\" src=\"https:\/\/i0.wp.com\/www.goseeko.com\/blog\/wp-content\/uploads\/2022\/04\/image-10.png?resize=690%2C264&#038;ssl=1\" alt=\"\" class=\"wp-image-7723\"\/><\/figure>\n\n\n\n<p><strong>Implementation of Decoders<\/strong>  <\/p>\n\n\n\n<p>D0 is high when X = 0, Y = 0 and Z = 0. Hence,<\/p>\n\n\n\n<p>&nbsp;&nbsp;D0 = X\u2019 Y\u2019 Z\u2019&nbsp;<\/p>\n\n\n\n<p>Similarly,<\/p>\n\n\n\n<p>&nbsp;D1 = X\u2019 Y\u2019 Z<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D2 = X\u2019 Y Z\u2019<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D3 = X\u2019 Y Z<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D4 = X Y\u2019 Z\u2019<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D5 = X Y\u2019 Z<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D6 = X Y Z\u2019<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;D7 = X Y Z<\/p>\n\n\n\n<p>Hence,<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" width=\"381\" height=\"417\" src=\"https:\/\/lh5.googleusercontent.com\/bfDRT_RTxsmsP713bAmniUoePYTmNSegndhsHWLTZuYrhuoC9bNBJu-GPbBjFR9Ho1kd9CHCqemQEst8fHKhC26a4t49GI7hG8rA8EI2GFu5dzRGtPxx-5QX-sZBiXPioAhBN84l\"><\/p>\n\n\n\n<p><strong>Interested in learning about similar topics? Here are a few hand-picked blogs for you!<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-polar-satellite-launch-vehicle-pslv\" target=\"_blank\" rel=\"noreferrer noopener\">Design of PSLV<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/what-is-a-mosfet\" target=\"_blank\" rel=\"noreferrer noopener\">What are MOSFETs?<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/index.php\/2021\/05\/31\/what-are-transducers\/\" target=\"_blank\" rel=\"noreferrer noopener\">Transducers and its applications<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/index.php\/2021\/05\/31\/what-is-stepper-motor\/\" target=\"_blank\" rel=\"noreferrer noopener\">Construction and Working of Stepper Motor<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.goseeko.com\/blog\/index.php\/2021\/05\/31\/what-is-an-induction-motor\/\" target=\"_blank\" rel=\"noreferrer noopener\">What is Induction Motor?<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Encoders convert 2N lines of input into a code of N bits and Decoders decode those N bits into 2N lines.<\/p>\n","protected":false},"author":3,"featured_media":3681,"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-3673","post","type-post","status-publish","format-standard","has-post-thumbnail","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>What are Encoders and Decoders? 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