C++ Program to Condense a Number

Posted in C++ Tutorial

Updated on Oct 06, 2024

By Mari Selvan

👁️ 80 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, various tasks involve manipulating and transforming numbers. One interesting problem is condensing a number, which means reducing a number by summing its digits until a single-digit number is obtained. This process is often referred to as finding the digital root or digit sum.

In this tutorial, we will explore a C++ program designed to condense a given number. The program involves repeatedly summing the digits of the number until a single-digit result is achieved.

📄 Example

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

NumberCondenser.cpp

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#include <iostream>

class NumberCondenser {
  public:
    // Function to condense a number
    static int condenseNumber(int number) {
      // Continue summing digits until a single-digit number is obtained
      while (number > 9) {
        int sum = 0;

        // Sum the digits of the number
        while (number > 0) {
          sum += number % 10;
          number /= 10;
        }

        // Update the number with the sum
        number = sum;
      }

      // Return the condensed number
      return number;
    }
};

// Driver program
int main() {
  // Replace this value with the number you want to condense
  int number = 9875;

  // Call the function to condense the number
  int condensedNumber = NumberCondenser::condenseNumber(number);

  // Display the result
  std::cout << "The condensed form of " << number << " is: " << condensedNumber << std::endl;

  return 0;
}

💻 Testing the Program

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

Output

The condensed form of 9875 is: 2

🧠 How the Program Works

The program defines a class NumberCondenser containing a static method condenseNumber that takes an integer number as input and condenses it by summing its digits until a single-digit result is obtained.
Inside the main function, replace the value of number with the desired number you want to condense.
The program calls the condenseNumber method and prints the result using std::cout.

🧐 Understanding the Concept of Condensing a Number

Before delving into the code, let's understand the concept behind condensing a number. The process involves repeatedly summing the digits of the number until a single-digit result is achieved.

For example, consider the number 9875. The program would calculate 9 + 8 + 7 + 5 = 29, then 2 + 9 = 11, and finally 1 + 1 = 2. The condensed form is 2.