Senary (base 6) to decimal converter
Paste a number in senary (base 6) 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 6.
- 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 × 6^position), with position 0 at the far right. Example: 5555 = 5×6^3 + 5×6^2 + 5×6^1 + 5×6^0 = 1295.
Example
Inputs: Number in base 6 = 5555. Result: Decimal value: 1295; With thousands separators: 1,295; Decimal digits: 4.
5555
1295
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 senary to decimal by hand?
Multiply each digit by 6 raised to its position, starting at position 0 on the right, then add the results. For example 5555 in base 6 equals 1295.
Can I read a base 6 number as if it were decimal?
No. 5555 in base 6 equals 1295 in decimal, which is why the base is often written as a subscript, such as 5555₆, to avoid mix-ups.
Which symbols are allowed in base 6?
The digits 0 to 5; spaces are ignored. Any other symbol triggers a message that names it.