To convert a two’s complement binary number to decimal in Python, you can use the following steps:
- Obtain the binary representation of the two’s complement number.
- Check if the number is negative by examining the most significant bit (MSB). If the MSB is 1, the number is negative.
- If the number is negative, invert all the bits and add 1 to the resulting value.
- Convert the resulting binary value to decimal using the
int()function with the base argument set to 2.
Here’s an example Python function that performs the conversion:
def twos_complement_to_decimal(binary): if binary == '1': # Check if the number is negative inverted = ''.join('1' if bit == '0' else '0' for bit in binary) # Invert the bits decimal = -(int(inverted, 2) + 1) # Convert to decimal and add 1 else: decimal = int(binary, 2) # Convert to decimal return decimal
You can use this function by passing the two’s complement binary number as a string argument, like this:
binary_number = '1111111111111110' # Example two's complement binary number decimal_number = twos_complement_to_decimal(binary_number) print(decimal_number)
This will output the decimal representation of the two’s complement number.