# Understanding Duodecimal: A Number System with Base 12

Duodecimal is a number system with base 12. In other words, instead of using the usual decimal system with base 10, duodecimal uses 12 as its base. This means that instead of having 10 digits (0 through 9), a duodecimal system would have 12 digits (0 through 11).

Duodecimality is the property of being based on 12. For example, a duodecimal number is a number that can be expressed in a duodecimal system.

In the duodecimal system, the numbers are represented using the digits 0 through 11. The numbers 1 through 11 are represented by single digits, while the number 12 is represented by the digit 1 followed by a carry (or a zero). For example, the number 13 in decimal would be represented as 15 in duodecimal, because 13 in decimal is equal to 15 in duodecimal.

Duodecimal is not commonly used in everyday life, but it has some interesting properties and applications. For example, duodecimal fractions are simpler than decimal fractions, because there are only 12 possible denominators (1, 2, 3, ..., 12) compared to the infinite number of denominators in the decimal system. Additionally, duodecimal numbers can be more easily expressed as a product of prime factors, which can be useful in certain mathematical and computational contexts.