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Quinary to Hex converter

How to convert Quinary to Hex

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.

Hexadecimal is a positional system that represents numbers using a base of 16. Unlike the common way of representing numbers with ten symbols, it uses sixteen distinct symbols, most often the symbols "0"-"9" to represent values zero to nine, and "A"-"F" to represent values ten to fifteen. Hexadecimal numerals are widely used by computer system designers and programmers, as they provide a human-friendly representation of binary-coded values.

Follow these steps to convert a quinary number into hexadecimal form:

The simplest way is to convert the quinary number into decimal, then the decimal into hexadecimal 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 decimal solution.
  4. Divide the decimal number by 16.
  5. Get the integer quotient for the next iteration (if the number will not divide equally by 16, then round down the result to the nearest whole number).
  6. Keep a note of the remainder, it should be between 0 and 15.
  7. Repeat the steps from ftep 4. until the quotient is equal to 0.
  8. Write out all the remainders, from bottom to top.
  9. Convert any remainders bigger than 9 into hex letters. This is the hex solution.
For example if the given quinary number is 1302:
DigitPowerMultiplication
1125125
32575
050
212
Then the decimal solution (125 + 75 + 2) is: 202
DivisionQuotientRemainder
202 / 161210 (A)
12 / 16012 (C)
Finally the hexadecimal solution is: CA
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