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Quaternary to Decimal converter

How to convert Quaternary to Decimal

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.

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

Follow these steps to convert a quaternary number into decimal form:
  1. Write the powers of 4 (1, 4, 16, 64, 256, and so on) beside the quaternary digits from bottom to top.
  2. Multiply each digit by it's power.
  3. Add up the answers. This is the solution.
For example if the given quaternary number is 31032:
DigitPowerMultiplication
3256768
16464
0160
3412
212
Then the decimal solution (768 + 64 + 12 + 2) is: 846
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