To find the two’s complement of 5, we invert all the bits (changing 0s to 1s and 1s to 0s) and then add one to the result.
I am embarrassed by the fact that I wasn't aware of this. I always interpreted the two's complement as the difference between the all the numbers before the high bit, minus the high bit. Aka 10000000 – 01111011 = 0101
