Yeah that’s good. You can find other versions if you want but you can absolutely move on too.
Implementing arithmetic using logic is kinda hard and unnecessary. If you want to look at that, there is lots of stuff online if you search terms like “half adder”. I don’t really recommend this stuff but maybe watch a 15 minute video to get a rough idea of what it’s like and see how much it interests you. Some of this stuff is covered in Feynman’s lectures on computation (I like that book but it’s technical and unnecessary) and I’m sure it’s in many textbooks.
Let me know how that goes and what you want to do. We could potentially move on to grammar.