Here's a C# implementation of an algorithm to convert a decimal number into its binary representation:

csharpCopy code
using System;

class DecimalToBinary
{
    static void Main(string[] args)
    {
        // Input: Decimal number
        Console.Write("Enter a decimal number: ");
        int num = Convert.ToInt32(Console.ReadLine());

        // Output: Binary representation
        Console.WriteLine("Binary form of " + num + " is: " + DecimalToBinaryConvert(num));
    }

    // Function to convert decimal to binary
    static string DecimalToBinaryConvert(int num)
    {
        if (num == 0)
            return "0";

        string binary = "";
        while (num > 0)
        {
            // Get the remainder (either 0 or 1)
            int remainder = num % 2;

            // Append remainder to the binary string
            binary = remainder + binary;

            // Divide the number by 2 to proceed with the next bit
            num /= 2;
        }

        return binary;
    }
}

Explanation of the algorithm:

1. Input: The user inputs an integer num.
2. Conversion Process:
   • While num > 0, the remainder of num % 2 (either 0 or 1) is appended to the binary string.
   • After each iteration, divide num by 2 to move on to the next bit.
   • This continues until num becomes 0.
3. Output: The binary form of the input number is printed.

Example:

Input:
25

Process:

• 25 ÷ 2 = 12 remainder 1 → binary: 1
• 12 ÷ 2 = 6 remainder 0 → binary: 01
• 6 ÷ 2 = 3 remainder 0 → binary: 001
• 3 ÷ 2 = 1 remainder 1 → binary: 1001
• 1 ÷ 2 = 0 remainder 1 → binary: 11001

Output:
11001

Would you like further details or have any questions?

Related Questions:

1. How can you modify this code to handle negative decimal numbers?
2. How can this algorithm be modified to work with floating-point numbers?
3. How does binary conversion work with large integers?
4. What is the time complexity of this binary conversion algorithm?
5. How can you convert a binary number back to decimal in C#?

Tip:

In C#, you can also use the built-in method Convert.ToString(num, 2) to directly convert a number to its binary string, but writing the algorithm helps with deeper understanding.