Quickly convert Decimal to other bases in Python

To quickly convert decimal numbers to other bases, Python provides built-in functions that make the process simple and efficient ?

• Decimal to Binary ? bin()
• Decimal to Octal ? oct()
• Decimal to Hexadecimal ? hex()

The decimal number system has base 10 and uses digits 0-9. Binary (base 2) uses only 0 and 1. Octal (base 8) uses digits 0-7. Hexadecimal (base 16) uses digits 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15).

Convert Decimal to Binary

The bin() function converts a decimal number to its binary representation ?

# Decimal Number
dec = 110

# Display the Decimal Number
print("Decimal = ", dec)

# Display the Binary form
print('The number {} in binary form = {}'.format(dec, bin(dec)))

Decimal =  110
The number 110 in binary form = 0b1101110

Convert Decimal to Octal

The oct() function converts a decimal number to its octal representation ?

# Decimal Number
dec = 110

# Display the Decimal Number
print("Decimal = ", dec)

# Display the Octal form
print('The number {} in octal form = {}'.format(dec, oct(dec)))

Decimal =  110
The number 110 in octal form = 0o156

Convert Decimal to Hexadecimal

The hex() function converts a decimal number to its hexadecimal representation ?

# Decimal Number
dec = 110

# Display the Decimal Number
print("Decimal = ", dec)

# Display the Hexadecimal form
print('The number {} in hexadecimal form = {}'.format(dec, hex(dec)))

Decimal =  110
The number 110 in hexadecimal form = 0x6e

Converting Multiple Numbers at Once

You can also convert multiple decimal numbers efficiently using a loop ?

numbers = [10, 25, 100, 255]

for num in numbers:
    print(f"Decimal: {num}")
    print(f"Binary: {bin(num)}")
    print(f"Octal: {oct(num)}")
    print(f"Hexadecimal: {hex(num)}")
    print("-" * 20)

Decimal: 10
Binary: 0b1010
Octal: 0o12
Hexadecimal: 0xa
--------------------
Decimal: 25
Binary: 0b11001
Octal: 0o31
Hexadecimal: 0x19
--------------------
Decimal: 100
Binary: 0b1100100
Octal: 0o144
Hexadecimal: 0x64
--------------------
Decimal: 255
Binary: 0b11111111
Octal: 0o377
Hexadecimal: 0xff
--------------------

Removing Prefixes

If you want the converted numbers without prefixes (0b, 0o, 0x), use slicing ?

dec = 110

print(f"Binary without prefix: {bin(dec)[2:]}")
print(f"Octal without prefix: {oct(dec)[2:]}")
print(f"Hexadecimal without prefix: {hex(dec)[2:]}")

Binary without prefix: 1101110
Octal without prefix: 156
Hexadecimal without prefix: 6e

Conclusion

Python's built-in functions bin(), oct(), and hex() provide quick and easy decimal to base conversion. Use slicing to remove prefixes when needed for cleaner output.