Number Base Converter
Convert large integers between binary, octal, decimal, hexadecimal, and base 36.
Converter guide
About Number Base Converter
A number base determines how digits represent values using powers of a chosen radix. This converter handles integers between binary, octal, decimal, hexadecimal, and base 36, which is useful for programming, data inspection, and learning positional notation.
How to use this converter
- 1Enter an integer using digits valid for its source base. For example, binary accepts only 0 and 1.
- 2Choose the input base and the desired output base from the selectors.
- 3Convert and check the result in a second representation. Preserve leading zeros separately if a fixed-width field requires them.
Conversion method and technical details
The converter interprets the input as a positional integer, converts it to a common numeric value, then writes that value using the target radix. Binary uses base 2, octal base 8, decimal base 10, hexadecimal base 16, and base 36 uses digits plus letters.
Worked real-world example
Decimal 255 becomes hexadecimal FF and binary 11111111. The values are equal even though the digit strings differ.
Common scenarios and use cases
Translate integer values in code, inspect color or byte values, and practice number representation across bases.
For a dependable comparison, confirm both unit labels, keep the original measurement with the converted value, and use the precision required by the task. The converter changes the representation of a value; it does not measure the item or decide which standard your project requires.
Important details and limitations
This is an integer converter, not a text encoding or arbitrary-precision calculator unless the implementation explicitly supports those cases. Leading zeros do not affect numeric value, and negative or extremely large inputs may follow implementation limits.
Check the output unit as well as the number. If the result will be reused in another calculation, retain full precision where possible and round only at the end. For measurements governed by a technical specification, use the standard and tolerance required by that document.
Frequently asked questions
What digits can hexadecimal use?
It uses 0–9 and A–F for values zero through fifteen.
Why do leading zeros disappear?
They do not change an integer's value, though fixed-width data formats may require them.
Does converting a number to binary encode text?
No. Text encoding maps characters to bytes; this tool converts an integer between bases.
Why can the converted number look much larger or smaller?
Different units use different scales. A measurement can have a larger number in a smaller unit and still describe the same quantity. Check the source and target unit labels before comparing values.
How many decimal places should I keep?
Keep enough precision for the job and avoid rounding values between steps. Round the final displayed answer to match the specification, document, or measuring tool you are using.