C++ Program to Converter a Decimal to Binary

Posted in C++ Tutorial

Updated on Oct 27, 2024

By Mari Selvan

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⏳ 4 mins

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C++ Program to Converter a Decimal to Binary

Photo Credit to CodeToFun

🙋 Introduction

In the world of programming, converting numbers from one base to another is a common and essential task. One interesting conversion is from decimal to binary. Decimal is the base-10 number system, and binary is the base-2 system.

Converting a decimal number to its binary equivalent involves representing the decimal value using only the digits 0 and 1.

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

📄 Example

Let's dive into the C++ code that achieves this functionality.

decimalToBinary.cpp

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#include <iostream>

// Function to convert decimal to binary
void decimalToBinary(int decimalNumber) {
  int binaryNumber[32]; // To store binary digits
  int i = 0;

  // Convert decimal to binary
  while (decimalNumber > 0) {
    binaryNumber[i] = decimalNumber % 2;
    decimalNumber = decimalNumber / 2;
    i++;
  }

  // Print binary number in reverse order
  std::cout << "Binary equivalent: ";
  for (int j = i - 1; j >= 0; j--) {
    std::cout << binaryNumber[j];
  }
  std::cout << std::endl;
}

// Driver program
int main() {
  // Replace this value with your desired decimal number
  int decimalNumber = 15;

  // Call the function to convert decimal to binary
  decimalToBinary(decimalNumber);

  return 0;
}

💻 Testing the Program

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

Output

Binary equivalent: 1111

Compile and run the program to see the binary equivalent.

🧠 How the Program Works

The program defines a function decimalToBinary that takes a decimal number as input and prints its binary equivalent.
Inside the function, it uses an array (binaryNumber) to store the binary digits.
It iterates through the process of dividing the decimal number by 2 and storing the remainder until the decimal number becomes 0.
The binary digits are stored in reverse order in the array.
Finally, the binary equivalent is printed.

🧐 Understanding the Concept of Decimal to Binary

Before delving into the code, let's briefly understand the binary number system. In binary, each digit represents a power of 2, starting from the rightmost digit as 2^0, then 2^1, 2^2, and so on.

Converting a decimal number to binary involves repeatedly dividing the decimal number by 2 and recording the remainders in reverse order.

For example, the decimal number 15 is equivalent to the binary number 1111.