Quaternary (base 4) to decimal converter
Paste a number in quaternary (base 4) 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 4.
- 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 × 4^position), with position 0 at the far right. Example: 3210 = 3×4^3 + 2×4^2 + 1×4^1 + 0×4^0 = 228.
Example
Inputs: Number in base 4 = 3210. Result: Decimal value: 228; With thousands separators: 228; Decimal digits: 3.
3210
228
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 quaternary to decimal by hand?
Multiply each digit by 4 raised to its position, starting at position 0 on the right, then add the results. For example 3210 in base 4 equals 228.
Where is base 4 used?
The four DNA bases A, C, G and T are sometimes coded as digits 0 to 3, which turns a sequence into a base 4 number. It also appears in radio schemes such as QPSK that send two bits per symbol.
Which symbols are allowed in base 4?
The digits 0 to 3; spaces are ignored. Any other symbol triggers a message that names it.