{"id":19091,"date":"2021-08-29T15:13:29","date_gmt":"2021-08-29T09:43:29","guid":{"rendered":"https:\/\/python-programs.com\/?p=19091"},"modified":"2021-11-22T18:37:09","modified_gmt":"2021-11-22T13:07:09","slug":"python-program-to-convert-decimal-number-to-binary-string-using-recursion","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-convert-decimal-number-to-binary-string-using-recursion\/","title":{"rendered":"Python Program to Convert Decimal Number to Binary String using Recursion"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-convert-binary-to-decimal-using-recursion\/\">Python Program to Convert Binary to Decimal using Recursion<\/a><br \/>\n<strong>Recursion:<\/strong><\/p>\n<p>Recursion is the process by which a function calls itself directly or indirectly, and the associated function is known as a recursive function. Certain issues can be addressed fairly easily using a recursive approach. Towers of Hanoi (TOH), Inorder \/Preorder\/Postorder Tree Traversals, DFS of Graph, and other analogous issues are examples.<\/p>\n<p><strong>Binary Code:<\/strong><\/p>\n<p>As previously stated, Binary Code is a Base-2 representation of a number. In Binary, all numbers are represented by simply two symbols: 0 and 1. Binary (also known as base-2) is a numerical system with only two digits: 0 and 1.<\/p>\n<p>Given a binary string, the task is to convert the given decimal number to a binary string using recursion in Python.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given binary number = 153<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The decimal Equivalent of the given binary number { 153 } is : 10011001<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given binary number = 408<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The decimal Equivalent of the given binary number { 408 } is : 110011000<\/pre>\n<h2>Program to Convert Decimal Number to Binary String using Recursion in Python<\/h2>\n<p>Below are the ways to convert the given decimal number to a binary string using recursion in Python:<\/p>\n<ul>\n<li><a href=\"#Using_Recursion_(Static_Input)\">Using Recursion (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Recursion_(User_Input)\">Using Recursion (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Recursion_(Static_Input)\">Method #1: Using Recursion (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the decimal number as static input and store it in a variable.<\/li>\n<li>Create a recursive function to say <strong>deciToBinary()<\/strong> which accepts the decimal number as an argument and returns the binary equivalent of the given decimal number.<\/li>\n<li>Inside the <strong>deciToBinary<\/strong><strong>()\u00a0<\/strong>function, Check if the decimal number is equal to 0 using the if conditional statement.<\/li>\n<li>If it is true then return 0.<\/li>\n<li>Else return (n% 2 + 10* <strong>deciToBinary<\/strong>(n \/\/ 2)) {Recursive logic}<\/li>\n<li>Inside the main function pass the given decimal number as an argument to <strong>deciToBinary<\/strong><strong>()\u00a0<\/strong>which returns the<\/li>\n<li>binary equivalent of the given decimal number.<\/li>\n<li>Print the binary equivalent of the given decimal number.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a recursive function to say deciToBinary() which accepts\r\n# the decimal number as an argument and returns the binary equivalent\r\n# of the given decimal number.\r\n\r\n\r\ndef deciToBinary(decinumb):\r\n    # Inside the deciToBinary()\u00a0function,\r\n    # Check if the decimal number is equal to 0 using the if conditional statement.\r\n    if(decinumb == 0):\r\n        # If it is true then return 0.\r\n        return 0\r\n    # Else return (n% 2 + 10* deciToBinary(n \/\/ 2)) {Recursive logic}\r\n    return (decinumb % 2 + 10 * deciToBinary(decinumb \/\/ 2))\r\n\r\n\r\n# Give the decimal number as static input and store it in a variable.\r\ngvndecimalnumb = 153\r\n# Inside the main function pass the given decimal number as an argument\r\n# to deciToBinary()\u00a0which returns the\r\n# binary equivalent of the given decimal number.\r\nresbinarynumbr = deciToBinary(gvndecimalnumb)\r\n# Print the decimal equivalent of the given binary number.\r\nprint(\r\n    'The decimal Equivalent of the given binary number {', gvndecimalnumb, '} is :', resbinarynumbr)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The decimal Equivalent of the given binary number { 153 } is : 10011001<\/pre>\n<h3 id=\"Using_Recursion_(User_Input)\">Method #2: Using Recursion (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the binary number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Create a recursive function to say <strong>deciToBinary()<\/strong> which accepts the decimal number as an argument and returns the binary equivalent of the given decimal number.<\/li>\n<li>Inside the <strong>deciToBinary<\/strong><strong>()\u00a0<\/strong>function, Check if the decimal number is equal to 0 using the if conditional statement.<\/li>\n<li>If it is true then return 0.<\/li>\n<li>Else return (n% 2 + 10* <strong>deciToBinary<\/strong>(n \/\/ 2)) {Recursive logic}<\/li>\n<li>Inside the main function pass the given decimal number as an argument to <strong>deciToBinary<\/strong><strong>()\u00a0<\/strong>which returns the binary equivalent of the given decimal number.<\/li>\n<li>Print the binary equivalent of the given decimal number.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a recursive function to say deciToBinary() which accepts\r\n# the decimal number as an argument and returns the binary equivalent\r\n# of the given decimal number.\r\n\r\n\r\ndef deciToBinary(decinumb):\r\n    # Inside the deciToBinary() function,\r\n    # Check if the decimal number is equal to 0 using the if conditional statement.\r\n    if(decinumb == 0):\r\n        # If it is true then return 0.\r\n        return 0\r\n    # Else return (n% 2 + 10* deciToBinary(n \/\/ 2)) {Recursive logic}\r\n    return (decinumb % 2 + 10 * deciToBinary(decinumb \/\/ 2))\r\n\r\n\r\n# Give the binary number as user input using the int(input()) function and store it in a variable.\r\ngvndecimalnumb = int(input('Enter some random decimal number = '))\r\n# Inside the main function pass the given decimal number as an argument\r\n# to deciToBinary() which returns the\r\n# binary equivalent of the given decimal number.\r\nresbinarynumbr = deciToBinary(gvndecimalnumb)\r\n# Print the decimal equivalent of the given binary number.\r\nprint(\r\n    'The decimal Equivalent of the given binary number {', gvndecimalnumb, '} is :', resbinarynumbr)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random decimal number = 408\r\nThe decimal Equivalent of the given binary number { 408 } is : 110011000<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-convert-decimal-to-octal-using-while-loop\/\">Python Program to Convert Decimal to Octal using While loop<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-out-how-many-1-and-0-in-a-given-number\/\">Python Program to Find out How many 1 and 0 in a Given Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-enter-basic-salary-and-calculate-gross-salary-of-an-employee\/\">Python Program to Enter Basic Salary and Calculate Gross Salary of an Employee<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-duck-number\/\">Python Program to Check Duck Number<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Convert Binary to Decimal using Recursion Recursion: Recursion is the process by which a function calls itself directly or indirectly, and the associated function is known as a recursive function. Certain issues can be addressed fairly easily using a recursive approach. Towers of Hanoi (TOH), &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-convert-decimal-number-to-binary-string-using-recursion\/\"> <span class=\"screen-reader-text\">Python Program to Convert Decimal Number to Binary String using Recursion<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":19106,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program to Convert Decimal Number to Binary String using Recursion - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-to-convert-decimal-number-to-binary-string-using-recursion\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Convert Decimal Number to Binary String using Recursion - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have discussed Python Program to Convert Binary to Decimal using Recursion Recursion: Recursion is the process by which a function calls itself directly or indirectly, and the associated function is known as a recursive function. 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Certain issues can be addressed fairly easily using a recursive approach. 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