How to convert Decimal to Quinary
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.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.
Formula
Follow these steps to convert a decimal number into quinary form:
- Divide the decimal number by 5.
- Get the integer quotient for the next iteration (if the number will not divide equally by 5, then round down the result to the nearest whole number).
- Keep a note of the remainder, it should be between 0 and 4.
- Repeat the steps until the quotient is equal to 0.
- Write out all the remainders, from bottom to top. This is the solution.
| Division | Quotient | Remainder |
|---|---|---|
| 673 / 5 | 134 | 3 |
| 134 / 5 | 26 | 4 |
| 26 / 5 | 5 | 1 |
| 5 / 5 | 1 | 0 |
| 1 / 5 | 0 | 1 |