Twos complement: Negative numbers in binary

Introduction to Binary and Sign-Bit Representation00:00:00

Introduces binary basics and the sign-bit approach, where the most significant bit indicates whether a number is positive or negative. While simple, this method results in two versions of zero and causes issues with basic arithmetic operations.

One's Complement00:04:17

Discusses one's complement, where negative numbers are formed by flipping all bits of the positive counterpart. It resolves some arithmetic issues but still results in negative zero and is consistently off by one during calculations.

Two's Complement00:09:41

Explains two's complement, the standard method for representing negative numbers in computers. It eliminates negative zero and allows for seamless arithmetic by treating the most significant bit as a negative place value (e.g., -8).

Negating Numbers in Two's Complement00:12:44

Details the process of negating a number in two's complement, which involves inverting all bits and adding one. Although it requires a two-step process, it is highly efficient to implement in hardware for arithmetic operations.