Doubt in two compiment

[Bhuvanesh123]

i am thinking that 2'complient of '000'is 000.But everyone saying it is '1000'.HOW?

 

[andre_luis]

A2 complement of a number N means:

A2(N) = ~N +1

Applying to N=000:

Assuming a result magnitude of 3 bits, we obtain 000
Assuming a result magnitude of 4 bits, we obtain 1000


+++

 

[Gorgon]

It's really a '000' + a carry in the next position.

 

[pjmelect]

When you do a two's compliment to do a subtraction you normally ignore the carry so the number is just 000