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How to Convert Decimal to Hexadecimal in Python? Program and Examples

Numbers are the foundation for representing and manipulating data in the world of programming languages. While we are familiar with the decimal system, which is based on the number 10, computer systems uses various number systems to optimize data storage and computation. One such system is the hexadecimal number system.

The hexadecimal system is a base-16 number system, consisting of 16 distinct digits: 0-9 and A-F. Each digit represents a unique value in powers of 16. Understanding how to convert decimal to hexadecimal in Python is an essential skill for programmers, as it facilitates efficient data representation and analysis in diverse programming scenarios.

Understanding decimal-to-hexadecimal conversion brings you valuable skills in various programming domains, including low-level programming, data encoding and decoding, network protocols, and cryptographic algorithms. 

Hexadecimal representation is particularly useful when working with memory addresses, color codes, binary data, and cryptographic keys.

By learning how to convert decimal to hexadecimal in Python, you gain a powerful tool to tackle complex programming challenges and gain a deeper understanding of the inner workings of computer systems.

Python Program to Convert Decimal to Hexadecimal

Code

def decimal_to_hexadecimal(decimal):
    hexadecimal = ""
    hex_digits = "0123456789ABCDEF"

    while decimal > 0:
        remainder = decimal % 16
        hexadecimal = hex_digits[remainder] + hexadecimal
        decimal = decimal // 16
    
    return hexadecimal


if __name__ == "__main__":
    decimal = int(input("Enter a decimal number: "))

    hexadecimal = decimal_to_hexadecimal(decimal)
    print("Hexadecimal: " + hexadecimal)

Output

Enter a decimal number: 532
Hexadecimal: 214

Explanation

LCM in Python Using for loop

 

The decimal_to_hexadecimal() function takes a decimal number as input and returns its hexadecimal representation as a string.

Inside the function, we initialize an empty string hexadecimal to store the hexadecimal digits.

We define the string hex_digits which contains the 16 possible hexadecimal digits: "0123456789ABCDEF".

Using a while loop, we repeatedly perform the following steps until the decimal number becomes zero:

  • We compute the remainder when the decimal number is divided by 16 using the modulus operator %.

  • We retrieve the corresponding hexadecimal digit from the hex_digits string using the remainder as an index.

  • We concatenate the hexadecimal digit with the left side of the hexadecimal string.

  • We update the decimal number by performing integer division by 16 (decimal // 16).

After the while loop ends, we have obtained the hexadecimal representation of the decimal number.

Finally, we return the resulting hexadecimal string.

In the main program, we prompt the user to enter a decimal number using the input() function, and we convert it to an integer using int().

We call the decimal_to_hexadecimal() function with the decimal number as an argument and store the result in the hexadecimal variable.

Finally, we print the hexadecimal representation of the decimal number using the print() function, along with an appropriate label.

By using this program, you can convert any decimal number to its hexadecimal

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