{"id":195562,"date":"2025-02-28T12:51:23","date_gmt":"2025-02-28T12:51:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=195562"},"modified":"2025-02-28T12:51:25","modified_gmt":"2025-02-28T12:51:25","slug":"encode-the-following-sentences-in-ascii-using-even-parity-by-adding-a-parity-bit-at-the-high-order-end-of-each-character-code","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/28\/encode-the-following-sentences-in-ascii-using-even-parity-by-adding-a-parity-bit-at-the-high-order-end-of-each-character-code\/","title":{"rendered":"Encode the following sentences in ASCII using even parity by adding a parity bit at the high-order end of each character code"},"content":{"rendered":"\n<p>Encode the following sentences in ASCII using even parity by adding a parity bit at the high-order end of each character code:<br>a. Does 100\/5 = 20?<br>b. The total cost is $7.25.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">ASCII Encoding with Even Parity<\/h3>\n\n\n\n<p>Each character in the given sentences is represented in 7-bit ASCII format. To ensure <strong>even parity<\/strong>, we add a <strong>parity bit<\/strong> at the high-order (most significant) end, making the total <strong>8-bit<\/strong> representation. The parity bit is <strong>0<\/strong> if the number of 1s in the 7-bit ASCII is even, and <strong>1<\/strong> if the number of 1s is odd, ensuring an even number of 1s in each byte.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Solution<\/strong><\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">Sentence (a): &#8220;Does 100\/5 = 20?&#8221;<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Convert each character into <strong>7-bit ASCII<\/strong>.<\/li>\n\n\n\n<li>Count the number of <strong>1s<\/strong> in each <strong>7-bit representation<\/strong>.<\/li>\n\n\n\n<li>Add a parity bit (1 if the count is odd, 0 if even).<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Character<\/th><th>ASCII (7-bit)<\/th><th># of 1s<\/th><th>Parity Bit<\/th><th>8-bit Encoding<\/th><\/tr><\/thead><tbody><tr><td>D<\/td><td>1000100<\/td><td>2<\/td><td>0<\/td><td><strong>01000100<\/strong><\/td><\/tr><tr><td>o<\/td><td>1101111<\/td><td>6<\/td><td>0<\/td><td><strong>01101111<\/strong><\/td><\/tr><tr><td>e<\/td><td>1100101<\/td><td>4<\/td><td>0<\/td><td><strong>01100101<\/strong><\/td><\/tr><tr><td>s<\/td><td>1110011<\/td><td>4<\/td><td>0<\/td><td><strong>01110011<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>1<\/td><td>0110001<\/td><td>3<\/td><td>1<\/td><td><strong>10110001<\/strong><\/td><\/tr><tr><td>0<\/td><td>0110000<\/td><td>2<\/td><td>0<\/td><td><strong>00110000<\/strong><\/td><\/tr><tr><td>0<\/td><td>0110000<\/td><td>2<\/td><td>0<\/td><td><strong>00110000<\/strong><\/td><\/tr><tr><td>\/<\/td><td>0101111<\/td><td>5<\/td><td>1<\/td><td><strong>10101111<\/strong><\/td><\/tr><tr><td>5<\/td><td>0110101<\/td><td>4<\/td><td>0<\/td><td><strong>0110101<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>=<\/td><td>0111101<\/td><td>5<\/td><td>1<\/td><td><strong>10111101<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>2<\/td><td>0110010<\/td><td>3<\/td><td>1<\/td><td><strong>10110010<\/strong><\/td><\/tr><tr><td>0<\/td><td>0110000<\/td><td>2<\/td><td>0<\/td><td><strong>00110000<\/strong><\/td><\/tr><tr><td>?<\/td><td>0111111<\/td><td>6<\/td><td>0<\/td><td><strong>01111111<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Sentence (b): &#8220;The total cost is $7.25.&#8221;<\/h4>\n\n\n\n<p>Following the same method, the <strong>8-bit ASCII with even parity<\/strong> encoding is:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Character<\/th><th>ASCII (7-bit)<\/th><th># of 1s<\/th><th>Parity Bit<\/th><th>8-bit Encoding<\/th><\/tr><\/thead><tbody><tr><td>T<\/td><td>1010100<\/td><td>3<\/td><td>1<\/td><td><strong>11010100<\/strong><\/td><\/tr><tr><td>h<\/td><td>1101000<\/td><td>3<\/td><td>1<\/td><td><strong>11101000<\/strong><\/td><\/tr><tr><td>e<\/td><td>1100101<\/td><td>4<\/td><td>0<\/td><td><strong>01100101<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>t<\/td><td>1110100<\/td><td>4<\/td><td>0<\/td><td><strong>01110100<\/strong><\/td><\/tr><tr><td>o<\/td><td>1101111<\/td><td>6<\/td><td>0<\/td><td><strong>01101111<\/strong><\/td><\/tr><tr><td>t<\/td><td>1110100<\/td><td>4<\/td><td>0<\/td><td><strong>01110100<\/strong><\/td><\/tr><tr><td>a<\/td><td>1100001<\/td><td>3<\/td><td>1<\/td><td><strong>11100001<\/strong><\/td><\/tr><tr><td>l<\/td><td>1101100<\/td><td>4<\/td><td>0<\/td><td><strong>01101100<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>c<\/td><td>1100011<\/td><td>4<\/td><td>0<\/td><td><strong>01100011<\/strong><\/td><\/tr><tr><td>o<\/td><td>1101111<\/td><td>6<\/td><td>0<\/td><td><strong>01101111<\/strong><\/td><\/tr><tr><td>s<\/td><td>1110011<\/td><td>4<\/td><td>0<\/td><td><strong>01110011<\/strong><\/td><\/tr><tr><td>t<\/td><td>1110100<\/td><td>4<\/td><td>0<\/td><td><strong>01110100<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>i<\/td><td>1101001<\/td><td>4<\/td><td>0<\/td><td><strong>01101001<\/strong><\/td><\/tr><tr><td>s<\/td><td>1110011<\/td><td>4<\/td><td>0<\/td><td><strong>01110011<\/strong><\/td><\/tr><tr><td>(space)<\/td><td>0100000<\/td><td>1<\/td><td>1<\/td><td><strong>10100000<\/strong><\/td><\/tr><tr><td>$<\/td><td>0100100<\/td><td>2<\/td><td>0<\/td><td><strong>00100100<\/strong><\/td><\/tr><tr><td>7<\/td><td>0110111<\/td><td>5<\/td><td>1<\/td><td><strong>10110111<\/strong><\/td><\/tr><tr><td>.<\/td><td>0101110<\/td><td>4<\/td><td>0<\/td><td><strong>00101110<\/strong><\/td><\/tr><tr><td>2<\/td><td>0110010<\/td><td>3<\/td><td>1<\/td><td><strong>10110010<\/strong><\/td><\/tr><tr><td>5<\/td><td>0110101<\/td><td>4<\/td><td>0<\/td><td><strong>0110101<\/strong><\/td><\/tr><tr><td>.<\/td><td>0101110<\/td><td>4<\/td><td>0<\/td><td><strong>00101110<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 Words)<\/strong><\/h3>\n\n\n\n<p>Parity bits are used in digital communication and storage systems for <strong>error detection<\/strong>. Even parity ensures that each byte has an even number of 1s. If an error occurs (e.g., a single bit flips), the receiver can detect it because the parity will be incorrect.<\/p>\n\n\n\n<p>Each character in <strong>ASCII encoding<\/strong> is represented in <strong>7-bit<\/strong> format. The <strong>8th bit (parity bit)<\/strong> is added based on the number of 1s in the character. If the count of 1s is odd, we set the parity bit to <strong>1<\/strong> to make it even. If it&#8217;s already even, we set it to <strong>0<\/strong>.<\/p>\n\n\n\n<p>For example, the character <strong>&#8216;D&#8217;<\/strong> has a <strong>7-bit ASCII of 1000100<\/strong> (two 1s). Since the count is already even, the parity bit is <strong>0<\/strong>, making the final <strong>8-bit encoding 01000100<\/strong>.<\/p>\n\n\n\n<p>This method is useful in low-level data transmission, such as serial communication (UART), memory storage, and network protocols. If a single bit error occurs during transmission, the system detects it by checking parity. If the parity does not match, an error is flagged, and retransmission may be requested.<\/p>\n\n\n\n<p>However, <strong>parity checking<\/strong> cannot correct errors\u2014it only detects them. More advanced error detection techniques, such as <strong>Hamming codes<\/strong> or <strong>CRC (Cyclic Redundancy Check)<\/strong>, are used for both <strong>error detection and correction<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Generated Image<\/strong><\/h3>\n\n\n\n<p>Now, I will generate an image illustrating the ASCII encoding with parity bits.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-1675.png\" alt=\"\" class=\"wp-image-195563\"\/><\/figure>\n\n\n\n<p>I have generated an image illustrating ASCII encoding with even parity, including a table that visually represents the encoding process. Let me know if you need any modifications or further explanations!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Encode the following sentences in ASCII using even parity by adding a parity bit at the high-order end of each character code:a. Does 100\/5 = 20?b. The total cost is $7.25. The Correct Answer and Explanation is : ASCII Encoding with Even Parity Each character in the given sentences is represented in 7-bit ASCII format. [&hellip;]<\/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-195562","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195562","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=195562"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195562\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=195562"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=195562"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=195562"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}