C++ Program to Converter a Binary to Decimal

Photo Credit to CodeToFun

🙋 Introduction

In the world of programming, understanding different number systems is crucial. One common conversion task is to convert a binary number to its decimal equivalent.

Binary is a base-2 number system, while decimal is a base-10 system.

In this tutorial, we'll explore a C++ program that efficiently converts a binary number to its decimal representation.

📄 Example

Let's dive into the C++ code that performs the binary to decimal conversion.

binaryToDecimal.cpp

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#include <iostream>
#include <cmath>

// Function to convert binary to decimal
int binaryToDecimal(long long binaryNumber) {
  int decimalNumber = 0, i = 0, remainder;
  while (binaryNumber != 0) {
    remainder = binaryNumber % 10;
    binaryNumber /= 10;
    decimalNumber += remainder * pow(2, i);
    ++i;
  }
  return decimalNumber;
}

// Driver program
int main() {
  // Replace this binary number with your desired value
  long long binaryNumber = 101010;

  // Call the function to convert binary to decimal
  int decimalNumber = binaryToDecimal(binaryNumber);

  std::cout << "Binary: " << binaryNumber << std::endl;
  std::cout << "Decimal: " << decimalNumber << std::endl;

  return 0;
}

💻 Testing the Program

To test the program with a different binary number, replace the value of binaryNumber in the main function.

Binary: 101010
Decimal: 42

Compile and run the program to see the binary-to-decimal conversion in action.

🧠 How the Program Works

1. The program defines a function binaryToDecimal that takes a binary number as input and returns its decimal equivalent.
2. Inside the function, it uses a while loop to iterate through each digit of the binary number.
3. For each digit, it calculates the remainder and updates the decimal number accordingly.
4. The main function tests the conversion by providing a binary number and printing both the binary and decimal representations.

🧐 Understanding the Concept of Binary and Decimal Systems

• Binary System (Base-2): In the binary system, numbers are represented using only two digits, 0 and 1. Each digit's place value is a power of 2.
• Decimal System (Base-10): The decimal system is the standard number system that we use every day. It uses ten digits, 0 through 9, and each digit's place value is a power of 10.

Binary-to-decimal conversion involves multiplying each binary digit by 2 raised to the power of its position and summing up the results.

For example, the binary number 101010 is converted to decimal as follows:

1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 42

🎢 Optimizing the Program

While the provided program is effective, consider exploring optimizations or handling edge cases for larger binary numbers.

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

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Author

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For over eight years, I worked as a full-stack web developer. Now, I have chosen my profession as a full-time blogger at codetofun.com.

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