There's more room for 'confusion' within our current binary system.
To see why, try this:
launch windows Calculator and make sure it's in Scientific mode (in the View menu)
now enter '1' and click the +/- button to make it '-1'
then click the radio button that says Bin next to it (this converts the value into binary)
you should get '1111111111111111111111111111111111111111111111111111111111111111'
now click the Dec radio button, to convert back into decimal
what value do you get displayed?
It's not -1 is it?
To see why, try this:
launch windows Calculator and make sure it's in Scientific mode (in the View menu)
now enter '1' and click the +/- button to make it '-1'
then click the radio button that says Bin next to it (this converts the value into binary)
you should get '1111111111111111111111111111111111111111111111111111111111111111'
now click the Dec radio button, to convert back into decimal
what value do you get displayed?
It's not -1 is it?