Decimal to Binary Conversion in C#: Algorithms and Code Examples

Learn how to convert decimal numbers to binary numbers using C#. This tutorial explains the conversion algorithm, provides C# code examples, and demonstrates how to efficiently convert between these two number systems.

Decimal to Binary Conversion in C#

This article explains how to convert a decimal number (base-10) to its binary equivalent (base-2) using a C# program. Decimal numbers use digits 0-9, while binary numbers use only 0 and 1.

Understanding Decimal and Binary Numbers

Decimal Numbers: Base-10 numbers, using digits 0 through 9. Examples: 10, 25, 100, 1234.

Binary Numbers: Base-2 numbers, using only digits 0 and 1. Examples: 1010, 1100, 100000.

Decimal to Binary Conversion Algorithm

The algorithm involves repeatedly dividing the decimal number by 2 and storing the remainders. The remainders, read in reverse order, form the binary representation.

  1. Divide the number by 2 using the modulo operator (`%`) and store the remainder.
  2. Divide the number by 2 using the division operator (`/`).
  3. Repeat steps 1 and 2 until the number becomes 0.

The remainders, when read from last to first, form the binary number.

Example C# Program


using System;

public class DecimalToBinary {
    public static void Main(string[] args) {
        Console.Write("Enter a number: ");
        int n = int.Parse(Console.ReadLine());
        int[] a = new int[10];
        // ... (code to convert to binary and print the result) ...
    }
}

Explanation

The program takes user input, then uses a loop to repeatedly divide by 2, storing remainders in an array. Finally, it prints the remainders in reverse order to get the binary representation.