Numeration

In mathematics, process of designating numbers according to a particular system. In any system of numeration a base number is specified, and groupings are then made by powers of the base number. The most widely used system of numeration is the Decimal System, which uses base 10. In the decimal system the numeral 302 means (3 × 10^2) + (0 ×  10^1) + (2 × 10^0 ), or 300 + 0 + 2. The binary system, used in most computers, has a base of 2 and only two digits, 0 and 1. The binary numeral 101 means (1 × 2^2) + (0 × 2^1) + (1 × 2^0), i.e., 4 + 0 + 1, or 5 in the decimal system. The decimal numeral 5 and the binary numeral 101 thus represent the same number. The ancient Babylonians used a system of base 60, which survives in our smaller divisions of Time and Angle, i.e., minutes and Seconds.