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

# Quaternary to Binary converter

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## 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:
1. Write down the quaternary number and represent each digit by its binary equivalent from the conversion table below.
2. Concatenate the results together. Discard any leading zeros at the left of the binary number. This is the solution.
Conversion table:
QuaternaryBinary
000
101
210
311
For example if the given quaternary number is 13201:
 Quaternary Binary 1 3 2 0 1 01 11 10 00 01
Then the binary solution is: (0)111100001
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