Python Binary & Decimal Converter
Convert values from decimal to binary and binary to decimal using basic algorithms in Python.
How it Works
Computers represent data in binary format (base-2, using 0 and 1), while humans work in decimal format (base-10). Converting between these systems is crucial in computer engineering.
Decimal to binary is achieved by repeatedly dividing the number by 2 and prepending the remainders.
Binary to decimal is achieved by iterating through the bits from left to right, accumulating the binary value scaled by a power of 2.
Source Code
Custom algorithmic converters matching native binary representation logic.
def decimal_to_binary(n):
if n == 0:
return "0"
binary = ""
while n > 0:
binary = str(n % 2) + binary
n //= 2
return binary
def binary_to_decimal(b_str):
decimal = 0
for digit in b_str:
decimal = decimal * 2 + int(digit)
return decimal
dec_val = 29
bin_val = "11101"
print(f"Decimal {dec_val} to Binary: {decimal_to_binary(dec_val)}")
print(f"Binary '{bin_val}' to Decimal: {binary_to_decimal(bin_val)}")Decimal 29 to Binary: 11101
Binary '11101' to Decimal: 29Real-world Applications
- Low-level bitwise operations and permissions mapping
- Network IP address octet conversion utilities
- Understanding fundamental hardware machine cycles
Frequently Asked Questions
Does Python have built-in methods for base conversions?
Yes. You can convert to binary using `bin(number)` (which returns a string prefixed with "0b") and parse base-2 strings back using `int(binary_string, 2)`.
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