Positive numbers start with one of 1,2,3, while negative numbers start with one of their counterparts 1',2',3'. Even stranger was a possibility of including even bases into this framework. Addition is better handled with Abacus . Conversion of fractions between various bases, although a consequence of essentially the same representation, is still different from conversion of integers and deserves a special page. A small number guessing game helps internalize the binary system.
Binary system is indispensible for grasping the right strategy in the game of Nim .
Binary system also proves useful for designing infinite Latin squares . Binary and ternary systems underlie the constructions of the Cantor set and the Sierpinski Gasket . Alexander Bogomolny 2789886 .