C# Program to Convert Hexadecimal to Decimal with Examples.

Introduction

In this article, we’ll delve into the details of converting a hexadecimal number to its decimal equivalent.

Understanding Hexadecimal and Decimal

Before we jump into the writing C# program to convert Hexadecimal to Decimal, let’s briefly understand what hexadecimal and decimal systems are.

Hexadecimal System

Hexadecimal, often referred to as hex, is a base-16 number system. It uses 16 symbols (0-9 and A-F, where A stands for 10, B for 11, and so on).
For example, the hexadecimal number “1A” is equivalent to 26 in decimal.

Decimal System

Decimal is the standard base-10 number system we use every day. It consists of 10 digits: 0-9. Each digit’s place value is a power of 10.

For example, the decimal number 123 is calculated as (1 * 10^2) + (2 * 10^1) + (3 * 10^0).

C# Program to Convert Hexadecimal to Decimal

Now, let’s move on to the practical example of writing a C# program to convert a hexadecimal number to its decimal equivalent.

using System;

class HexToDecimalConverter
{
    static void Main()
    {
        // Input: Hexadecimal number as a string
        Console.Write("Enter a Hexadecimal number: ");
        string hexInput = Console.ReadLine();

        // Convert hex to decimal
        int decimalResult = HexToDecimal(hexInput);

        // Output: Display the result
        Console.WriteLine($"Decimal equivalent: {decimalResult}");
    }

    static int HexToDecimal(string hex)
    {
        // Ensure the input is not null or empty
        if (string.IsNullOrEmpty(hex))
        {
            throw new ArgumentException("Hexadecimal input cannot be null or empty.");
        }

        // Convert hex to decimal using built-in method
        int decimalResult = Convert.ToInt32(hex, 16);

        return decimalResult;
    }
}

Output:

Enter a Hexadecimal number: 1A
Decimal equivalent: 26

Code Explanation:

  • We have created the above program, which takes a hexadecimal input from the user.
  • The HexToDecimal method converts the hex input to decimal using Convert.ToInt32 method with base 16.
  • After converting the Hexadecimal to a Decimal number, the result is displayed to the user.

Let’s break down the hexadecimal number “1A” and understand how it is equivalent to 26 in decimal.

Hexadecimal Number: “1A”

In the hexadecimal system, each digit represents a power of 16, and the digits can range from 0 to 15. The letters A to F represent the values 10 to 15, respectively.

Breaking down “1A”:

  • The rightmost digit ‘A’ represents the decimal value 10.
  • The leftmost digit ‘1’ represents the decimal value 1.

Now, let’s calculate the decimal equivalent:

(1×16 1) + (10×160)

= (1×16) + (10×1)

= 16+10

= 26

Therefore, the hexadecimal number “1A” is equivalent to 26 in decimal. In summary, the ‘1’ contributes 16 to the total, and the ‘A’ contributes 10, resulting in a total of 26 in the decimal system.

Example 2:

Here is a C# Program to Convert Hexadecimal to Decimal without using any built-in function.

using System;

class HexToDecimalConverter
{
    static void Main()
    {
        // Hexadecimal number to be converted
        string hexNumber = "1A4";

        // Calling the conversion method
        int decimalNumber = ConvertHexToDecimal(hexNumber);

        // Displaying the result
        Console.WriteLine($"Hexadecimal: {hexNumber} \nDecimal: {decimalNumber}");
    }

    // Method to convert Hexadecimal to Decimal
    static int ConvertHexToDecimal(string hexNumber)
    {
        int decimalNumber = 0;

        // Loop through each character in reverse order
        for (int i = hexNumber.Length - 1, power = 0; i >= 0; i--, power++)
        {
            char hexDigit = hexNumber[i];

            // Convert hex digit to decimal
            int decimalValue = HexDigitToDecimal(hexDigit);

            // Add the decimal value to the result
            decimalNumber += decimalValue * (int)Math.Pow(16, power);
        }

        return decimalNumber;
    }

    // Helper method to convert a single hex digit to decimal
    static int HexDigitToDecimal(char hexDigit)
    {
        if (char.IsDigit(hexDigit))
        {
            return hexDigit - '0';
        }
        else
        {
            // Convert hex letter to decimal value
            return char.ToUpper(hexDigit) - 'A' + 10;
        }
    }
}

Output:

Hexadecimal: ABC 
Decimal: 2748

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Shekh Ali
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