C++ Program to Check Power of 2

Posted in C++ Tutorial

Updated on Oct 06, 2024

By Mari Selvan

👁️ 70 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, efficiency and optimization are key considerations. One common optimization involves determining whether a given number is a power of 2.

Checking if a number is a power of 2 is a fundamental operation with applications in various domains.

In this tutorial, we'll explore a C++ program that efficiently checks if a given number is a power of 2.

📄 Example

Let's delve into the C++ code that accomplishes this functionality.

isPowerOfTwo.cpp

Copied

#include <iostream>

// Function to check if a number is a power of 2
bool isPowerOfTwo(int num) {
  // A number is a power of 2 if and only if it has a single set bit.
  // Using bitwise AND operation to check this condition.
  return (num > 0) && ((num & (num - 1)) == 0);
}

// Driver program
int main() {
  // Replace this value with your desired number
  int number = 16;

  // Check if the number is a power of 2
  if (isPowerOfTwo(number)) {
    std::cout << number << " is a power of 2." << std::endl;
  } else {
    std::cout << number << " is not a power of 2." << std::endl;
  }

  return 0;
}

💻 Testing the Program

To test the program with different numbers, simply replace the value of number in the main function.

Output

16 is a power of 2.

Compile and run the program to see whether the given number is a power of 2.

🧠 How the Program Works

The program defines a function isPowerOfTwo that takes an integer as input and returns true if the number is a power of 2 and false otherwise.
Inside the function, it uses a bitwise AND operation to check if the number has a single set bit, which is a characteristic of power-of-2 numbers.
The main function demonstrates the usage of the isPowerOfTwo function by checking if a given number is a power of 2.

📏 Between the Given Range

Let's dive into the C++ code that performs the check for powers of 2 in the range 1 to 20.

displayPowersOfTwo.cpp

Copied

#include <iostream>
#include <cmath>

// Function to check if a number is a power of 2
bool isPowerOfTwo(int num) {
  return (num & (num - 1)) == 0 && num != 0;
}

// Function to display powers of 2 in the specified range
void displayPowersOfTwo(int start, int end) {
  std::cout << "Power of 2 in the range " << start << " to " << end << ":\n";

  for (int i = start; i <= end; ++i) {
    if (isPowerOfTwo(i)) {
      std::cout << i << " ";
    }
  }

  std::cout << "\n";
}

// Driver program
int main() {
  // Fixed range from 1 to 20
  int start = 1;
  int end = 20;

  // Call the function to display powers of 2
  displayPowersOfTwo(start, end);

  return 0;
}

💻 Testing the Program

Output

Power of 2 in the range 1 to 20:
1 2 4 8 16

The program is set to check and display powers of 2 in the range from 1 to 20. To test it, simply compile and run the program.

🧠 How the Program Works

The program defines a function isPowerOfTwo that checks if a given number is a power of 2.
The displayPowersOfTwo function iterates through the specified range and prints numbers that are powers of 2.
The main function sets the range from 1 to 20 and calls the display function.

🧐 Understanding the Concept of Power of 2

A number is considered a power of 2 if and only if it has a single set bit.

For example, 2, 4, 8, and 16 are powers of 2 because their binary representations have only one bit set.

Understanding this concept is crucial for efficient programming and algorithm design.

🎢 Optimizing the Program

The provided program is a straightforward implementation. However, there are more advanced techniques for checking if a number is a power of 2, such as using logarithmic operations or counting the number of set bits. Depending on your specific use case, you might explore these optimizations.

Feel free to incorporate and modify this code as needed for your specific requirements. Happy coding!