{"id":3096,"date":"2023-04-29T01:38:23","date_gmt":"2023-04-28T18:38:23","guid":{"rendered":"https:\/\/www.tneutron.net\/elektro\/?p=3096"},"modified":"2023-04-27T14:51:16","modified_gmt":"2023-04-27T07:51:16","slug":"binary-number-system","status":"publish","type":"post","link":"https:\/\/www.tneutron.net\/elektro\/binary-number-system\/","title":{"rendered":"Binary Number System"},"content":{"rendered":"<p><span class=\"notranslate\">Decimal number decimal systems are used in digital systems because it is difficult to design electronic circuits in such a way that it can work with 10 different voltage levels (0-9). Instead it is easier to design electronic circuits that operate using only 2 voltage levels.<\/span> <span class=\"notranslate\"> For this reason almost all digital systems use a binary number system (base 2) as the base of operations.<\/span> <span class=\"notranslate\"> In the binary system only used two possible symbols \/ digit values \u200b\u200bthat are: 0 and 1. All the provisions applicable to the cesimal system also apply to binary systems. Note the illustration of binary numbers: 1011.101<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-1.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-1.png\" alt=\"image\" width=\"287\" height=\"71\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> Each binary digit is called BIT, while the leftmost BIT is called the Most Significant Bit (MSB) and the rightmost BIT is called Least significant Bit (LSB). To differentiate the numbers on different systems the way it is written using subskrib.<\/span> <span class=\"notranslate\"> For example number (9) <sub>10<\/sub> denotes a medium decimal (1001) <sub>2<\/sub> represents a binary number.<\/span><\/p>\n<ul>\n<li><span class=\"notranslate\"> <b>Decimal to Binary Conversion<\/b><\/span><\/li>\n<\/ul>\n<p><span class=\"notranslate\"> Decimal to binary conversion can be done in several ways but it is easiest to use the trial and error method.<\/span> <span class=\"notranslate\"> The decimal number to be modified is subsequently divided by 2 by considering the remainder of the division.<\/span> <span class=\"notranslate\"> The remainder of the division will be 1 or 0 which will form a binary number with the last remaining MSB.<\/span><\/p>\n<p><span class=\"notranslate\"> Example: Convert a decimal number 25 How to do this path:<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-2.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-6.png\" alt=\"image\" width=\"196\" height=\"244\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> <b>a.<\/b><\/span> <span class=\"notranslate\"> <b>Binary Sum<\/b><\/span><br \/>\n<span class=\"notranslate\"> Follow the table below:<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-7.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-7.png\" alt=\"image\" width=\"244\" height=\"148\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> <b>b.<\/b><\/span> <span class=\"notranslate\"> <b>Multiplication Binary<\/b><\/span><br \/>\n<span class=\"notranslate\"> Notice the following table:<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-8.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-8.png\" alt=\"image\" width=\"244\" height=\"210\" border=\"0\" \/><\/a><\/p>\n<p><span class=\"notranslate\"> c.<\/span> <span class=\"notranslate\"> <b>Binary Sharing<\/b><\/span><br \/>\n<span class=\"notranslate\"> Binary division takes place the same as the process of dividing the decimal number even simpler because it only implements the digits: <b>0<\/b> and <b>1<\/b> .<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-9.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-9.png\" alt=\"image\" width=\"244\" height=\"160\" border=\"0\" \/><\/a><\/p>\n<ul>\n<li><span class=\"notranslate\"> <b>Converting Binary to Decimal<\/b><\/span><\/li>\n<\/ul>\n<p><span class=\"notranslate\"> Follow these steps:<\/span><br \/>\n<span class=\"notranslate\"> 1. Write down the complete binary number<\/span><br \/>\n<span class=\"notranslate\"> 2. Write a series of numbers: 1,2,4,8,16,32,64, &#8230; ..dst, below the binary number starting from the far right bit (LSB)<\/span><br \/>\n<span class=\"notranslate\"> 3. Drag all decimal numbers that coincide with binary digits 0.<\/span><\/p>\n<p><span class=\"notranslate\"> Totalize all remaining decimal numbers.<\/span><br \/>\n<a href=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image-10.png\"><img loading=\"lazy\" decoding=\"async\" title=\"image\" src=\"https:\/\/www.tneutron.net\/elektro\/wp-content\/uploads\/sites\/2\/2017\/09\/image_thumb-10.png\" alt=\"image\" width=\"309\" height=\"165\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Decimal number decimal systems are used in digital systems because it is difficult to design electronic circuits in such a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[2232],"tags":[4840,4841,4843,4842,4844,4845,4846,4847,4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4861,4860,4862,4863],"class_list":["post-3096","post","type-post","status-publish","format-standard","hentry","category-english","tag-0-1-binary-number-system-called","tag-1-and-0-binary-number-system","tag-1-2-3-binary-number-system-answer-key","tag-1s-complement-in-binary-number-system","tag-10011-binary-number-system","tag-2s-complement-in-binary-number-system","tag-25-in-binary-number-system","tag-52-in-binary-number-system","tag-52-using-the-binary-number-system","tag-8-bit-binary-number-system","tag-a-binary-number-system-has-mcq","tag-base-2-binary-number-system","tag-base-8-binary-number-system","tag-base-value-of-binary-number-system","tag-binary-and-quinary-number-system","tag-binary-number-of-system","tag-binary-number-radix-system","tag-binary-number-system","tag-binary-number-system-1-to-10","tag-binary-number-system-1-to-100","tag-binary-number-system-1-100","tag-binary-number-system-1s-complement","tag-binary-number-system-111-represents","tag-binary-number-system-2s-complement"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - 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