DUODECIMAL SYSTEM Meaning and
Definition
-
The duodecimal system, also known as base-12 or dozenal system, is a numeral system that uses twelve as its base. It is a non-positional number notation system where digits are represented using the symbols from 0 to 9, and two additional symbols often represented as A and B. The duodecimal system is an alternative to the widely used decimal system which utilizes base-10.
In the duodecimal system, the significance of each digit is determined by its position from the right, just as in the decimal system. However, the powers of twelve are used instead of the powers of ten. This means that the rightmost digit represents the units, the next digit to the left represents twelves, the next represents gross (twelve gross is equal to a dozen dozen or 144), and so on.
The duodecimal system has some advantages and disadvantages when compared to the decimal system. One advantage is that 12 has more divisors than 10, which simplifies fraction arithmetic. Additionally, duodecimal representations of fractions can be more concise. Conversely, one disadvantage is that the duodecimal system does not have a unique symbol for the digit ten, often represented as A, which can cause confusion when converting between systems.
While not commonly used in everyday life, the duodecimal system has historical and cultural applications, particularly in mathematics, music theory, and a few languages and cultures around the world.
Common Misspellings for DUODECIMAL SYSTEM
- suodecimal system
- xuodecimal system
- cuodecimal system
- fuodecimal system
- ruodecimal system
- euodecimal system
- dyodecimal system
- dhodecimal system
- djodecimal system
- diodecimal system
- d8odecimal system
- d7odecimal system
- duidecimal system
- dukdecimal system
- duldecimal system
- dupdecimal system
- du0decimal system
- du9decimal system
- duosecimal system
- duoxecimal system
Etymology of DUODECIMAL SYSTEM
The word "duodecimal" comes from the Latin word "duodecim", which means "twelve". It is derived from the combination of "duo" (meaning "two") and "decem" (meaning "ten"). The term "duodecimal system" refers to a numeral system based on twelve, as opposed to the more commonly used decimal (base-ten) system.
