Binary number system

The binary (or dual) number system is the Base-2 system and the smallest integer positional base and has two digits (also called bits for “binary digits”). Larger numbers are represented using number places each of which is twice as large as the previous place. Number places can be multiplied by a 1 or 0. For instance the binary number 1110 is 1 eight plus 1 four plus 1 two plus no ones.

Usage
Binary is commonly used in compilers to process code as it has the simplest arithmetic of any integer base. A non-place value variant also is used in the Papua New Guinean language Fas, where there are distinict words for 1 and 2.

Base Theory
Binary has fairly bad fractions, as it is a prime base with a unit omega and prime alpha, however most of these fractions have short reptends. Only dyadic fractions terminate in binary.

1/1 to 9 in binary