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[0] == '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.
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