Adding Numbers with Two's Complement Method

Example №1: Adding the $6$-bit numbers $-6_{10} = 111010_2$ and $13_{10} = 001101_2$:

Discard the end-around carry:
|
v
1 11     <-- Carry Bits
  001101
+ 111010
  ______
  000111

We got $-6 + 13 = +7$! Yay!