Have to deal with several conversions between Binary and Quaternary numeral systems? Then this site is made for you! Use our super handy online tool to convert your data.Welcome!

# Binary to Quaternary converter

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## How to convert Binary to Quaternary

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.

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.

Formula

Follow these steps to convert a binary number into quaternary form:
1. Start from the right side of the binary number and divide it up into groups of 2 digits. Add extra zero to the front of the first number if it is not two digits.
2. Convert each group of 2 binary digits to its equivalent quaternary value from the conversion table below.
3. Concatenate the results together. This is the solution.
Conversion table:
BinaryQuaternary
000
011
102
113
For example if the given binary number is 111010010:
 Binary Quaternary (0)1 11 01 00 10 1 3 1 0 2
Then the quaternary solution is: 13102
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