{"id":218198,"date":"2025-05-23T11:12:53","date_gmt":"2025-05-23T11:12:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=218198"},"modified":"2025-05-23T11:12:55","modified_gmt":"2025-05-23T11:12:55","slug":"what-is-the-4b-5b-encoding-for-the-binary-sequence-1101000011001101","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/23\/what-is-the-4b-5b-encoding-for-the-binary-sequence-1101000011001101\/","title":{"rendered":"What is the 4B\/5B encoding for the binary sequence 1101000011001101"},"content":{"rendered":"\n

What is the 4B\/5B encoding for the binary sequence 1101000011001101?<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The 4B\/5B encoding<\/strong> for the binary sequence 1101 0000 1100 1101<\/code> is:<\/p>\n\n\n\n

11010 11110 10110 1101<\/strong><\/p>\n\n\n\n

<\/h3>\n\n\n\n

4B\/5B encoding<\/strong> is a line coding scheme<\/strong> used in digital data transmission. It maps 4-bit groups<\/strong> (nibbles) into 5-bit codes<\/strong> that ensure there are enough transitions in the signal to maintain synchronization. This is important in systems like Fast Ethernet (100Base-TX) and Fiber Channel, where long runs of 0s or 1s can cause problems with clock recovery.<\/p>\n\n\n\n

\n\n\n\n

\u2733\ufe0f Step-by-step Encoding:<\/h3>\n\n\n\n

First, divide the input binary sequence into 4-bit nibbles:<\/p>\n\n\n\n

1101 0000 1100 1101\n<\/code><\/pre>\n\n\n\n
Using the standard 4B\/5B encoding table<\/strong>, encode each 4-bit group:<\/p>\n\n\n\n
4-bit Input<\/th>5-bit Output<\/th><\/tr><\/thead>
1101<\/td>11010<\/td><\/tr>
0000<\/td>11110<\/td><\/tr>
1100<\/td>10110<\/td><\/tr>
1101<\/td>11010<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
So, the 5-bit encoded sequence becomes:<\/p>\n\n\n\n
11010 11110 10110 11010\n<\/code><\/pre>\n\n\n\n
This is your final encoded sequence.<\/p>\n\n\n\n
\n\n\n\n
\u2705 Why Use 4B\/5B?<\/h3>\n\n\n\n
    \n
  1. Synchronization<\/strong>: Unlike simple NRZ (Non-Return to Zero) encoding, 4B\/5B ensures that there are no long runs of 0s (or 1s), which could cause the receiver to lose synchronization.<\/li>\n\n\n\n
  2. Efficient<\/strong>: The encoding overhead is small\u2014only 1 extra bit per 4 bits (25% increase), which is more efficient than Manchester encoding, which doubles the bit rate.<\/li>\n\n\n\n
  3. Error Detection<\/strong>: Not all 5-bit combinations are valid in 4B\/5B. Invalid codes can be used to detect errors or control symbols.<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n
    \ud83d\udd1a Summary:<\/h3>\n\n\n\n
    The 4B\/5B encoding<\/strong> for the input binary sequence 1101000011001101<\/code> is:<\/p>\n\n\n\n
    11010 11110 10110 11010<\/strong><\/p>\n\n\n\n
    This method improves synchronization and data integrity with only modest overhead, making it ideal for high-speed communication systems.<\/p>\n\n\n\n
    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
    What is the 4B\/5B encoding for the binary sequence 1101000011001101? The Correct Answer and Explanation is: The 4B\/5B encoding for the binary sequence 1101 0000 1100 1101 is: 11010 11110 10110 1101 4B\/5B encoding is a line coding scheme used in digital data transmission. It maps 4-bit groups (nibbles) into 5-bit codes that ensure there […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-218198","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=218198"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218198\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=218198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=218198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=218198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}