{"id":8276,"date":"2021-06-07T18:07:44","date_gmt":"2021-06-07T12:37:44","guid":{"rendered":"https:\/\/python-programs.com\/?p=8276"},"modified":"2021-11-22T18:38:39","modified_gmt":"2021-11-22T13:08:39","slug":"python-program-to-find-whether-a-number-is-a-power-of-two","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-whether-a-number-is-a-power-of-two\/","title":{"rendered":"Python Program to Find Whether a Number is a Power of Two"},"content":{"rendered":"<p>In this tutorial, the power of 2 or not for python programming can be checked. The user gives a positive integer N and we have to check if it is equivalent to 2^x or not, where x can be zero or a number positive.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =2048<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 2048 is power of 2<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =256<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 256 is power of 2<\/pre>\n<p><strong>Example3:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>given number =678<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 678 is not power of 2<\/pre>\n<h2>Program to Find Whether a Number is a Power of Two in Python<\/h2>\n<p>There are several ways to check whether the given number is a power of 2 or not some of them are:<\/p>\n<ul>\n<li><a href=\"#Using_log_function\">Using log function<\/a><\/li>\n<li><a href=\"#Using_while_loop\">Using while loop<\/a><\/li>\n<li><a href=\"#Using_Bitwise_Operators\">Using Bitwise Operators<\/a><\/li>\n<li><a href=\"#By_Calculating_total_number_of_set_bits\">By Calculating total number of set bits<\/a><\/li>\n<\/ul>\n<p>Drive into <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a> and explore more instances related to python concepts so that you can become proficient in generating programs in Python Programming Language.<\/p>\n<h3 id=\"Using_log_function\">Method #1:Using log function<\/h3>\n<ul>\n<li>This answer is just a mathematical one.<\/li>\n<li>If the log2(n) of the given number n is integer than it is power of 2<\/li>\n<li>Else it is not power of 2.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># importing log from math\r\nfrom math import log\r\n# given number\r\nnumb = 2048\r\n# given base (here it is 2 as we have to check whether it is power of 2 or not)\r\nbas = 2\r\n# calculating log2 of the  given numb using log function\r\nlogvalue = log(numb, bas)\r\n# if the value is integer then it is power of 2\r\nif (int(logvalue) == logvalue):\r\n    print(\"The given numb\", numb, \"is power of 2\")\r\n# else it is not power of 2\r\nelse:\r\n    print(\"The given numb\", numb, \"is not power of 2\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 2048 is power of 2<\/pre>\n<h3 id=\"Using_while_loop\">Method #2:Using while loop<\/h3>\n<p>Continue dividing the number into two, i.e. do n = n\/2 as long as n is 1 If n percent 2 is non-zero and n is not 1 in all iteration, then n is not 2. It is a power of 2, if n becomes 1.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># function which returns true if the given number is power of 2 else it reeturns false\r\n\r\n\r\ndef checktwoPower(numb):\r\n    # checking if the number is 0\r\n    if (numb == 0):\r\n      # if the number is 0 then it is not power of 2 hence return false\r\n        return False\r\n    # using while loop to iterate till the number not equal to 1\r\n    while (numb != 1):\r\n        # if the bit is set bit then it is not power of 2 so return False\r\n        if (numb % 2 != 0):\r\n            return False\r\n            # dividing n\r\n        numb = numb \/\/ 2\r\n    return True\r\n\r\n\r\n# given number\r\nnumb = 2048\r\n# passing the given number to checktwoPower function\r\n# if the value is integer then it is power of 2\r\nif (checktwoPower(numb)):\r\n    print(\"The given numb\", numb, \"is power of 2\")\r\n# else it is not power of 2\r\nelse:\r\n    print(\"The given numb\", numb, \"is not power of 2\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 2048 is power of 2<\/pre>\n<h3 id=\"Using_Bitwise_Operators\">Method #3:Using Bitwise Operators<\/h3>\n<p>If the number is 2 power, the binary representation\u00a0of only 1 bit is set.<br \/>\nIf we remove 1 from a power number 2, then all the bits are set and the set bit is unset after the set bits (just one bits are set according to point-1)<\/p>\n<p>Therefore, if a number is 2, then<\/p>\n<blockquote><p><b>numb&amp;(numb-1) == 0<\/b><\/p><\/blockquote>\n<p>Only if N is zero is the exception to the foregoing rule. As a power of two, it will give zero which in fact is not. Therefore, we can explicitly see this in the check.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># function which returns true if the given number is power of 2 else it reeturns false\r\n\r\n\r\ndef checktwoPower(numb):\r\n    return numb and (not(numb &amp; (numb-1)))\r\n\r\n\r\n# given number\r\nnumb = 2048\r\n# passing the given number to checktwoPower function\r\n# if the value is integer then it is power of 2\r\nif (checktwoPower(numb)):\r\n    print(\"The given numb\", numb, \"is power of 2\")\r\n# else it is not power of 2\r\nelse:\r\n    print(\"The given numb\", numb, \"is not power of 2\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 2048 is power of 2<\/pre>\n<h3 id=\"By_Calculating_total_number_of_set_bits\">Method #4:By Calculating total number of set bits<\/h3>\n<p>A simple method is to take each bit into consideration in a number (set or unset) and hold a counter to track the set bits if the total number of set bits is 1 then the number is power of 2 else it is not the power of 2<\/p>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Set the variable to say count to 0 to count the total number of set bits.<\/li>\n<li>We utilize the while loop.<\/li>\n<li>We\u2019ll keep going till the number is bigger than zero (Condition of while statement)<\/li>\n<li>Using the &amp; operator, we will determine whether the last check bit is set or not.<\/li>\n<li>If the check bit is 1, it indicates that the bit is set, and we increment the count.<\/li>\n<li>Divide the given number by 2.<\/li>\n<li>If the count is 1 then it is the power of 2 hence return true<\/li>\n<li>Else return false<\/li>\n<\/ul>\n<p>We use\u00a0<strong>n&amp;1<\/strong> to check whether it is set bit or not.<\/p>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># function which returns true if the given number is power of 2 else it reeturns false\r\n\r\n\r\ndef checktwoPower(numb):\r\n    # checking if the given number is greater than 1\r\n    if numb &gt; 1:\r\n      # Set the variable say setbitcount to 0 to count the total number of set bits.\r\n        setbitcount = 0\r\n        # looping till number greater than 0 using while loop\r\n        while(numb &gt; 0):\r\n            # We will get the last check bit whether it is set bit or not using &amp; operator\r\n            # checking if the check bit is 1 or not\r\n            # if the check bit is 1 then increment the setbitcount\r\n            if(numb &amp; 1):\r\n                setbitcount = setbitcount+1\r\n            # divide the number by 2\r\n            numb = numb\/\/2\r\n    # checking if the total number of setbits are 1 or not\r\n    return (setbitcount == 1)\r\n\r\n\r\n# given number\r\nnumb = 2048\r\n# passing the given number to checktwoPower function\r\n# if the value is integer then it is power of 2\r\nif (checktwoPower(numb)):\r\n    print(\"The given numb\", numb, \"is power of 2\")\r\n# else it is not power of 2\r\nelse:\r\n    print(\"The given numb\", numb, \"is not power of 2\")\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given numb 2048 is power of 2<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-compute-the-power-of-a-number\/\">Python Program to Compute the Power of a Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/harshad-number-in-python\/\">Harshad Number in Python<\/a> \u2013 Easy Implementation<\/li>\n<li><a href=\"https:\/\/python-programs.com\/disarium-number-in-python\/\">Disarium Number in Python<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-armstrong-number\/\">Python Program to Check Armstrong Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/write-a-program-to-reverse-a-number-in-python\/\">Write a Program to Reverse a Number in Python | Reverse Digits or Integers<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In this tutorial, the power of 2 or not for python programming can be checked. The user gives a positive integer N and we have to check if it is equivalent to 2^x or not, where x can be zero or a number positive. Examples: Example1: Input: given number =2048 Output: The given numb 2048 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-whether-a-number-is-a-power-of-two\/\"> <span class=\"screen-reader-text\">Python Program to Find Whether a Number is a Power of Two<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":8287,"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 Find Whether a Number is a Power of Two - 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-find-whether-a-number-is-a-power-of-two\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find Whether a Number is a Power of Two - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In this tutorial, the power of 2 or not for python programming can be checked. 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The user gives a positive integer N and we have to check if it is equivalent to 2^x or not, where x can be zero or a number positive. 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