{"id":9731,"date":"2025-08-28T18:21:46","date_gmt":"2025-08-28T12:51:46","guid":{"rendered":"https:\/\/namastedev.com\/blog\/?p=9731"},"modified":"2025-09-30T12:38:12","modified_gmt":"2025-09-30T07:08:12","slug":"power-of-two_","status":"publish","type":"post","link":"https:\/\/namastedev.com\/blog\/power-of-two_\/","title":{"rendered":"Power of Two"},"content":{"rendered":"\n<!-- Sum of all numbers in array using Recursion 1 -->\n<link\n    href=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/themes\/prism-tomorrow.min.css\"\n    rel=\"stylesheet\"\n\/>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/prism.min.js\"><\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/plugins\/autoloader\/prism-autoloader.min.js\"><\/script>\n\n<style>\n.wp_blog_theme {\n  --primary: #E58C32;\n  --secondary: #030302;\n  --light-bg: #fef9f4;\n  --text-dark: #2d2d2d;\n  --tab-radius: 12px;\n  --shadow: 0 4px 12px rgba(0, 0, 0, 0.08);\n  --code-bg: #001f3f;\n  --code-text: #d4f1ff;\n}\n\n.wp_blog_container {\n  font-family: 'Segoe UI', sans-serif;\n  background: var(--light-bg);\n  margin: 0;\n  padding: 0;\n  color: var(--text-dark);\n}\n\n\/* Heading *\/\n.wp_blog_main-heading {\n  text-align: center;\n  font-size: 2.4rem;\n  color: var(--primary);\n  margin-top: 2.5rem;\n  font-weight: bold;\n}\n\n\/* Explanation Card *\/\n.wp_blog_explanation,\n.wp_blog_code-tabs-container {\n  max-width: 940px;\n  margin: 2rem auto;\n  padding: 2rem;\n  background: white;\n  border-radius: var(--tab-radius);\n  box-shadow: var(--shadow);\n}\n\n\/* Text and Visuals *\/\n.wp_blog_explanation h2 {\n  font-size: 1.4rem;\n  color: var(--primary);\n  margin-bottom: 0.5rem;\n}\n\n.wp_blog_explanation p,\n.wp_blog_explanation li {\n  font-size: 1.05rem;\n  line-height: 1.7;\n  margin: 0.5rem 0;\n}\n\n.wp_blog_explanation code {\n  background: #fef9f4; 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\/* makes it the reference for absolute children *\/\n}\n\n.wp_blog_toggle-btn {\n  position: absolute;\n  top: 1rem;\n  right: 1rem;\n  z-index: 9999;\n  padding: 0.5rem 0.8rem;\n  border-radius: 10%;\n  background: var(--primary);\n  color: white;\n  font-weight: bold;\n  cursor: pointer;\n  border: none;\n  box-shadow: var(--shadow);\n  transition: background 0.3s, transform 0.2s;\n}\n\n.wp_blog_toggle-btn:hover {\n  background: #cc772e;\n}\n\n.wp_blog_theme.dark-mode .wp_blog_code-tabs-container {\n  background: #1e1e1e;\n}\n<\/style>\n\n<div class=\"wp_blog_container wp_blog_theme\">\n<button id=\"blogNotesThemeToggle\" class=\"wp_blog_toggle-btn\">\ud83c\udf19<\/button>\n<h1 class=\"wp_blog_main-heading\"><\/h1>\n\n<div class=\"wp_blog_explanation\">\n    <h2>Problem Statement:<\/h2>\n    <p>\n       Write a recursive function <code>isPowerOfTwo(n)<\/code> that returns <code>true<\/code> if <code>n<\/code> is a power of 2, otherwise <code>false<\/code>. \n    <\/p>\n    <h2>Example 1:<\/h2>\n    <p><strong>Input:<\/strong> 8<\/p>\n    <p><strong>Process: <\/strong> (8 \u2192 4 \u2192 2 \u2192 1)<\/p>\n    <p><strong>Output:<\/strong> true<\/p>\n\n     <h2>Example 2:<\/h2>\n    <p><strong>Input:<\/strong> 18<\/p>\n    <p><strong>Output:<\/strong> false<\/p>\n\n\n    <h2>Concepts:<\/h2>\n    <ul>\n        <li><strong>Power of Two:<\/strong> A number is a <code>power of 2<\/code> if it can be divided by <code>2<\/code> repeatedly until it reaches <code>1<\/code>.<\/li>\n        <li><strong>Base Case: <\/strong><code>n == 1 \u2192 true<\/code><\/li>\n        <li><strong>Invalid Case: <\/strong>n < 1 or n % 2 != 0 \u2192 false<\/li>\n        <li><strong>Recursive Case: <\/strong>isPowerOfTwo(n \/ 2)<\/li>\n    <\/ul>\n\n    <h2>Time &#038; Space Complexity:<\/h2>\n    <p><strong>Time Complexity: O(log n)<\/strong><\/p>\n    <p><strong>Space Complexity: O(log n)<\/strong> <code>Due to recursion stack<\/code><\/p>\n<\/div>\n\n<div class=\"wp_blog_code-tabs-container\">\n    <div class=\"wp_blog_code-tabs-header\">\n        <button class=\"wp_blog_code-tab-button active\" data-lang=\"js\">\n            JavaScript\n        <\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"py\">Python<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"java\">Java<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"cpp\">C++<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"c\">C<\/button>\n        <button class=\"wp_blog_code-tab-button\" data-lang=\"cs\">C#<\/button>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content active\" data-lang=\"js\">\n        <pre><code class=\"language-javascript\">\nfunction isPowerOfTwo(n) {\n  if (n === 1) return true;\n  else if (n < 1 || n % 2 !== 0) return false;\n  return isPowerOfTwo(n \/ 2);\n}\n\nconsole.log(isPowerOfTwo(8)); \/\/ true\nconsole.log(isPowerOfTwo(18)); \/\/ false\n    <\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"py\">\n        <pre><code class=\"language-python\">\nclass Solution(object):\n  def isPowerOfTwo(self, n):\n    \"\"\"\n    :type n: int\n    :rtype: bool\n    \"\"\"\n    if n == 1:\n      return True\n    elif n < 1 or n % 2 != 0:\n      return False\n    return self.isPowerOfTwo(n \/\/ 2)\n    <\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"java\">\n        <pre><code class=\"language-java\">\nclass Solution {\n  public boolean isPowerOfTwo(int n) {\n    if (n == 1)\n      return true;\n    else if (n < 1 || n % 2 != 0)\n      return false;\n    return isPowerOfTwo(n \/ 2);\n  }\n}\n<\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cpp\">\n        <pre><code class=\"language-cpp\">\n#include &lt;iostream&gt;\nclass Solution {\npublic:\n  bool isPowerOfTwo(int n) {\n    if (n == 1)\n      return true;\n    else if (n < 1 || n % 2 != 0)\n      return false;\n    return isPowerOfTwo(n \/ 2);\n  }\n};\n   \n    <\/code><\/pre>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"c\">\n        <pre><code class=\"language-c\">\n#include &lt;stdbool.h&gt;\n\nbool isPowerOfTwo(int n) {\n  if (n == 1)\n    return true;\n  else if (n < 1 || n % 2 != 0)\n    return false;\n  return isPowerOfTwo(n \/ 2);\n}\n<\/code><\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cs\">\n        <pre><code class=\"language-csharp\">\npublic class Solution {\n  public bool IsPowerOfTwo(int n) {\n    if (n == 1)\n      return true;\n    else if (n < 1 || n % 2 != 0)\n      return false;\n    return IsPowerOfTwo(n \/ 2);\n  }\n}\n \n  <\/code><\/pre>\n    <\/div>\n<\/div>\n<\/div>\n<script>\ndocument.addEventListener(\"DOMContentLoaded\", () => {\n  const buttons = document.querySelectorAll(\".wp_blog_code-tab-button\");\n  const contents = document.querySelectorAll(\".wp_blog_code-tab-content\");\n\n  buttons.forEach((button) => {\n    button.addEventListener(\"click\", () => {\n      const lang = button.getAttribute(\"data-lang\");\n\n      buttons.forEach((btn) => btn.classList.remove(\"active\"));\n      contents.forEach((content) => content.classList.remove(\"active\"));\n\n      button.classList.add(\"active\");\n      document\n        .querySelector(`.wp_blog_code-tab-content[data-lang=\"${lang}\"]`)\n        .classList.add(\"active\");\n    });\n  });\n\n  const themeToggle = document.getElementById(\"blogNotesThemeToggle\");\n  const themeContainer = document.querySelector(\".wp_blog_theme\");\n\n  themeToggle.addEventListener(\"click\", () => {\n    themeContainer.classList.toggle(\"dark-mode\");\n    themeToggle.textContent =\n      themeContainer.classList.contains(\"dark-mode\") ? \"\u2600\ufe0f\" : \"\ud83c\udf19\";\n  });\n});\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\ud83c\udf19 Problem Statement: Write a recursive function isPowerOfTwo(n) that returns true if n is a power of 2, otherwise false. Example 1: Input: 8 Process: (8 \u2192 4 \u2192 2 \u2192 1) Output: true Example 2: Input: 18 Output: false Concepts: Power of Two: A number is a power of 2 if it can be<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[210,322,260,176,175,211,811,810,174,172,173],"tags":[],"class_list":["post-9731","post","type-post","status-publish","format-standard","category-algorithms","category-algorithms-and-data-structures","category-c-c-plus-plus","category-csharp","category-cplusplus","category-data-structures","category-data-structures-and-algorithms","category-dsa","category-java","category-javascript","category-python"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/9731","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/users\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/comments?post=9731"}],"version-history":[{"count":2,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/9731\/revisions"}],"predecessor-version":[{"id":10175,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/posts\/9731\/revisions\/10175"}],"wp:attachment":[{"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/media?parent=9731"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/categories?post=9731"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/namastedev.com\/blog\/wp-json\/wp\/v2\/tags?post=9731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}