Question

In the two’s complement method, why is there one more negative number than there are positive numbers?

I've read the other explanations listed in Chegg please don't copy/paste another answer.

Answer 1

The exact reason of this is present in the concept of 1's complement.In 1's complement there are two representation of 0, one is all bits 0's and one when all bits is 1's then also it is 0(this is one of the disadvantage of 1's complement) But in case of 2's complement we have only one representation of 0(zero) i.e when all bits is 0's then number is 0(zero).But what with that number when all bits are 1's? In 2's complement we take it as one extra negative number because as most significant bit is 1 so it is taken as negative number (also you can say that it is the smallest number in 2's complement) ,so in this way we get one more negative number.