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Quickly convert Decimal to other bases in Python

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  • Difficulty Level : Easy
  • Last Updated : 23 Jan, 2023
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Given a number in decimal number convert it into binary, octal and hexadecimal number. Here is function to convert decimal to binary, decimal to octal and decimal to hexadecimal. Examples:

Input : 55
Output : 55  in Binary :  0b110111
         55 in Octal :  0o67
         55  in Hexadecimal :  0x37

Input : 282
Output : 282  in Binary :  0b100011010
         282 in Octal :  0o432
         282  in Hexadecimal :  0x11a

One solution is to use the approach discussed in below post. Convert from any base to decimal and vice versa Python provides direct functions for standard base conversions like bin(), hex() and oct() 


# Python program to convert decimal to binary,
# octal and hexadecimal
# Function to convert decimal to binary
def decimal_to_binary(dec):
    decimal = int(dec)
    # Prints equivalent decimal
    print(decimal, " in Binary : ", bin(decimal))
# Function to convert decimal to octal
def decimal_to_octal(dec):
    decimal = int(dec)
    # Prints equivalent decimal
    print(decimal, "in Octal : ", oct(decimal))
# Function to convert decimal to hexadecimal
def decimal_to_hexadecimal(dec):
    decimal = int(dec)
    # Prints equivalent decimal
    print(decimal, " in Hexadecimal : ", hex(decimal))
# Driver program
dec = 32


(32, ' in Binary : ', '0b100000')
(32, 'in Octal : ', '040')
(32, ' in Hexadecimal : ', '0x20')

The time complexity of this program is O(1) as the program only consists of three simple functions and all of them just print values. The space complexity of this program is also O(1) because no extra memory is required to store any values.

 Using string formatting:

We can use string formatting to convert a decimal number to other bases. Here is an example of how to use string formatting to convert a decimal number to binary, octal, and hexadecimal:


def convert_to_other_bases(decimal):
    # Convert to binary
    binary = "{0:b}".format(decimal)
    # Convert to octal
    octal = "{0:o}".format(decimal)
    # Convert to hexadecimal
    hexadecimal = "{0:x}".format(decimal)
    # Print results
    print(f"{decimal} in binary: {binary}")
    print(f"{decimal} in octal: {octal}")
    print(f"{decimal} in hexadecimal: {hexadecimal}")


55 in binary: 110111
55 in octal: 67
55 in hexadecimal: 37

 Time complexity: O(1), as the code only performs a constant number of operations (formatting and printing the results).
Auxiliary space: O(1), as the code, only creates a few variables (binary, octal, hexadecimal) that do not depend on the size of the input (the decimal number).

This article is contributed by Pramod Kumar. If you like GeeksforGeeks and would like to contribute, you can also write an article using or mail your article to See your article appearing on the GeeksforGeeks main page and help other Geeks. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

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