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Convert Decimal to Binary, Octal and Hexadecimal in Python (Program with Example)

In computer programming, numerical systems play a crucial role in representing and manipulating data. The decimal system, also known as the base-10 system, is the one we commonly use in our everyday lives. However, in computer science, we often encounter other numerical systems like binary, octal, and hexadecimal.

  • Binary is a base-2 system that uses only two digits, 0 and 1, making it the foundation of all digital systems. 

  • Octal, on the other hand, is a base-8 system that uses digits from 0 to 7. 

  • Hexadecimal is a base-16 system that uses digits from 0 to 9 along with alphabets A to F, where A represents 10, B represents 11, and so on up to F representing 15.

Understanding how to convert decimal to binary, octal, and hexadecimal in Python is essential for various programming tasks. 

Whether you're working on low-level programming, network protocols, or simply analyzing data, being able to convert between these numerical systems gives you a deeper understanding of the underlying data and helps you communicate effectively with computer systems.

In this tutorial, we will explore a Python program for decimal to binary, octal, and hexadecimal conversion. By the end of this tutorial, you will have a solid grasp of the concepts and the ability to apply these conversions in your own programming projects.

Decimal to Binary, Octal, Hexadecimal Conversion in Python

Code

# Function to convert decimal to binary
def decimal_to_binary(decimal):
    binary = bin(decimal).replace("0b", "")
    return binary

# Function to convert decimal to octal
def decimal_to_octal(decimal):
    octal = oct(decimal).replace("0o", "")
    return octal

# Function to convert decimal to hexadecimal
def decimal_to_hexadecimal(decimal):
    hexadecimal = hex(decimal).replace("0x", "")
    return hexadecimal

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

    binary = decimal_to_binary(decimal)
    print("Binary: " + binary)

    octal = decimal_to_octal(decimal)
    print("Octal: " + octal)

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

Output

Enter a decimal number: 550
Binary: 1000100110
Octal: 1046
Hexadecimal: 226

Explanation

We define three separate functions, decimal_to_binary(), decimal_to_octal(), and decimal_to_hexadecimal(), to perform the conversions. Each function takes a decimal number as input and returns the corresponding binary, octal, or hexadecimal representation.

  • The decimal_to_binary() function uses the bin() function in Python, which converts a decimal number to its binary representation. We remove the prefix "0b" from the result using the replace() method to obtain the binary string.

  • The decimal_to_octal() function uses the oct() function in Python, which converts a decimal number to its octal representation. We remove the prefix "0o" from the result using the replace() method to obtain the octal string.

  • The decimal_to_hexadecimal() function uses the hex() function in Python, which converts a decimal number to its hexadecimal representation. We remove the prefix "0x" from the result using the replace() method to obtain the 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 then call each conversion function with the decimal number as an argument and store the results in separate variables: binary, octal, and hexadecimal.

Finally, we print the converted representations of the decimal number using the print() function, along with appropriate labels.

That's it! This program allows you to convert any decimal number into binary, octal, and hexadecimal in Python.

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