Binary is the very foundation that all of computer science is built on.
It's really easy once you get it, as the maths is pretty simple - its all just 1s and 0s. Oh, and you'd best get learning your powers of two. 1, 2, 4, 8, 16, 32, 64.
Code Breaking
The work done during World War 2 at Bletchley park, breaking German messages that had been encrypted using their Enigma machines is often associated with being the birth of modern day computing.