CorporalCaptain wrote:
No contemporary discussion of numeral bases would be complete without mentioning that, because computer memory is ultimately composed of bits, computer scientists frequently use bases that are various powers of two: binary itself (base 2), octal (base 8), and hexadecimal (base 16). Base 64 also has a place, although it's rare, if ever, for data in that base to be directly manipulated by humans.

What's awesome to me is that binary math lets you multiply and divide simply by shifting bits left and right.