## How to convert Quaternary to Binary

Quaternary is the base-4 numeral system. It uses the digits 0, 1, 2 and 3 to represent any real number. Four is the largest number within the subitizing range and one of two numbers that is both a square and a highly composite number, making quaternary a convenient choice for a base at this scale. Despite being twice as large, its radix economy is equal to that of binary.A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.

**Formula**

Follow these steps to convert a quaternary number into binary form:

- Write down the quaternary number and represent each digit by its binary equivalent from the conversion table below.
- Concatenate the results together. Discard any leading zeros at the left of the binary number. This is the solution.

Quaternary | Binary |
---|---|

0 | 00 |

1 | 01 |

2 | 10 |

3 | 11 |

Quaternary | 1 | 3 | 2 | 0 | 1 |
---|---|---|---|---|---|

Binary | 01 | 11 | 10 | 00 | 01 |