Quinary (base 5) to decimal converter
Paste a number in quinary (base 5) to get its decimal value, worked out place by place. Handy for exercises and for checking encoded values.
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How to use it
- Enter number in base 5.
- The result appears straight away and updates as you edit.
- Copy the result, or copy a link that keeps the same values to share it.
How it is calculated
Value = sum of (digit × 5^position), with position 0 at the far right. Example: 4444 = 4×5^3 + 4×5^2 + 4×5^1 + 4×5^0 = 624.
Example
Inputs: Number in base 5 = 4444. Result: Decimal value: 624; With thousands separators: 624; Decimal digits: 3.
4444
624
Limits and caveats
- Whole numbers only, up to 1000 digits; a radix point is not accepted here.
- The place value table appears for inputs up to 60 digits.
Questions about this tool
How do I convert quinary to decimal by hand?
Multiply each digit by 5 raised to its position, starting at position 0 on the right, then add the results. For example 4444 in base 5 equals 624.
What is the largest number n quinary digits can hold?
The largest n-digit base 5 number is 5^n - 1, so 4444 equals 624, which is 5^4 - 1.
Which symbols are allowed in base 5?
The digits 0 to 4; spaces are ignored. Any other symbol triggers a message that names it.