Perform arithmetic in any number base from 2 to 36 and view results across binary, octal, decimal, and hexadecimal.
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Number Systems
The base calculator performs addition, subtraction, multiplication, and division in any number base from 2 to 36. Enter two values, select the base, pick an operation, and see results across multiple bases.
A number base (or radix) defines how many unique digits a positional system uses. Base 10 uses digits 0 through 9, base 2 uses 0 and 1, and base 16 uses 0 through F. Bases above 10 use letters A through Z as additional digit symbols.
Arithmetic rules are identical regardless of base: you carry when a column sum reaches the base value. Only the digit set and carry threshold change.
Beyond the common bases 2, 8, 10, and 16, other bases appear in specialised contexts. Base 12 (duodecimal) is used in some measurement systems, base 60 underlies time and angle measurement, and base 36 is used for compact alphanumeric encodings.
Frequently asked questions
Base 2 (binary), base 8 (octal), base 10 (decimal), and base 16 (hexadecimal) are the most widely used in computing and everyday life.
Base 36 uses 0 through 9 plus A through Z, giving 36 unique digit symbols.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
Perform binary arithmetic — addition, subtraction, multiplication, and division — on binary numbers and see results in binary, decimal, octal, and hexadecimal.
Perform hexadecimal arithmetic — addition, subtraction, multiplication, and division — on hex values and see results in hex, decimal, binary, and octal.
Convert numbers between any two bases from 2 to 36, including binary, octal, decimal, and hexadecimal.
Convert hexadecimal values to octal by expanding to binary and regrouping into three-bit sets, with step-by-step results.
