I recommend Ben Eater's other videos -- his content is clean, understandable, and kind of meditative introduction to the "meat" of how computers and digital electronics in general work. Kind of like Bob Ross of computer electronics -- you can probably follow along and get a lot of this to work on your own! A good start is the 555 timer tutorial: https://www.youtube.com/watch?v=kRlSFm519Bo
He has a very nice series on error detecting codes and cyclic redundancy checks (CRC). The subject is developed very gradually from parity bits and eventually works its way to CRC's and how they are implemented at a hardware level. He also ties everything together in a framework with finite groups pretty neatly.
