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The basis for a numbering system, the base indicates how many unique digits are used in representing all numbers.

For example, in base 3, digits are often represented as: 0, 1, 2.

The number 143 in the decimal system is equivalent to 12022 in base 3:

Decimal: <math>143 = 1 \times 10^2 + 4 \times 10^1 + 3 \times 10^0</math>

Base 3: <math>12022 = 1 \times 3^4 + 2 \times 10^3 + 0 \times 10^2 + 2 \times 10^1 + 2\times 10^0</math>

Common bases in computing

Computers naturally work in base 2 (binary). A single binary digit is called a bit.

A group of 3 binary digits can be repesented by a single octal digit.

A group of 4 binary digits is sometimes called a nybble (or nibble). A nybble can be represented by one hexadecimal digit.

A group of 8 binary digits is a byte. A single byte can be represented by 2 hexadecimal digits.

For example, 10110111 in binary is equivalent to B7 in hexadecimal.


All your base are belong to us


bases are the opposite of acids. bases combine with acids to form salts.