Binary number theory

Question

I want to know if there exists some book about "Binary number theory", I'm interesting in this because there many problems of ICPC about this topic.

Thanks in advance

Answer 1

"Binary" is just one particular way of representing a number. The subject is "number theory".

Answer 2

It would appear that what you want is number theory, but before college level courses on that. so, try ONE and TWO.

Also, try the Project Euler problems. Those are meant to be done by yourself, experimented with, and end up with a computer program that takes no more than a minute of people time to execute. Meanwhile, you learn mathematics principles of about the correct depth for you. Unfortunate that people post the problems here, they are for self-study, hybrid mathematics/programming.