base 24 | base 18 | base 21 | base 30 | base 12 | base 29 | base 17 | base 25 |
---|---|---|---|---|---|---|---|

10 | 16 | 13 | o | 20 | o | 17 | o |

i | 10 | i | i | 16 | i | 11 | i |

l | 13 | 10 | l | 19 | l | 14 | l |

16 | 1c | 19 | 10 | 26 | 11 | 1d | 15 |

c | c | c | c | 10 | c | c | c |

15 | 1b | 18 | t | 25 | 10 | 1c | 14 |

h | h | h | h | 15 | h | 10 | h |

11 | 17 | 14 | p | 21 | p | 18 | 10 |

The **ternary** numeral system (also called **base-3**) has three as its base. Analogous to a bit, a ternary digit is a **trit** (**tr**inary dig**it**). One trit is equivalent to log_{2}3 (about 1.58496) bits of information.

In mathematics and digital electronics, a **binary** number is a number expressed in the binary numeral system or **base-2** numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices. Each digit is referred to as a bit.

**Quaternary** is the base-4 numeral system. It uses the digits 0, 1, 2 and 3 to represent any real number.

The **octal** numeral system, or **oct** for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding the octal digits 1 1 2, yielding the octal representation 112.

**Quinary** (base-5 or pental) is a numeral system with five as the base. A possible origination of a quinary system is that there are five fingers on either hand.

The **decimal** numeral system (also called **base-ten** positional numeral system, and occasionally called **denary**) is the standard system for denoting integer and non-integer numbers. It has ten as its base.

The **senary** numeral system (also known as base-6 or heximal) has six as its base. It has been adopted independently by a small number of cultures. Like decimal, it is a semiprime, though being the product of the only two consecutive numbers that are both prime (2 and 3) it has a high degree of mathematical properties for its size. As six is a superior highly composite number, many of the arguments made in favor of the duodecimal system also apply to this base-6.

The **duodecimal** system (also known as base 12 or dozenal) is a positional notation numeral system using twelve as its base.

The vigesimal or base 20 numeral system is based on twenty (in the same way in which the decimal numeral system is based on ten).

hexadecimal (base 16)In mathematics and computing, **hexadecimal** (also **base 16**, or **hex**) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and **A, B, C, D, E, F** (or alternatively **a, b, c, d, e, f**) to represent values ten to **fifteen**.

**Base36** is a binary-to-text encoding scheme that represents binary data in an ASCII string format by translating it into a radix-36 (aka Hexatrigesimal) representation. The choice of 36 is convenient in that the digits can be represented using the Arabic numerals 0–9 and the Latin letters A–Z (the ISO basic Latin alphabet).