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Quinary to Decimal converter

How to convert Quinary to Decimal

Quinary is a numeral system with five as the base. A possible origination of a quinary system is that there are five fingers on either hand. In the quinary place system, five numerals, from 0 to 4, are used to represent any real number. According to this method, five is written as 10, twenty-five is written as 100 and sixty is written as 220.

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.

Formula

Follow these steps to convert a quinary number into decimal form:
  1. Write the powers of 5 (1, 5, 25, 125, 625, and so on) beside the quinary 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 quinary number is 24301:
DigitPowerMultiplication
26251250
4125500
32575
050
111
Then the decimal solution (1250 + 500 + 75 + 1) is: 1826
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