Binary permissions bitmask
Inspect a small bitmask value from a flag field.
- Input: 13
- Source base: decimal
Binary: 1101
The set bits are 8, 4, and 1, which often map to enabled flags.
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Number Base Converter
Convert numbers between binary, octal, decimal, and hexadecimal bases
Number Base Conversion
Enter a number in any base and see its conversion to other bases
Quick Conversion
Conversion History
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Number base conversion formula
A number in any base is the sum of each digit multiplied by its positional weight.
Decimal value = Σ(digit × base^position)
Example: 1011₂ = 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 11₁₀
Decimal to target base = repeated division by target base, read remainders in reverse- digit
- Single symbol in the source base
- For base 16, valid digits are 0-9 and A-F.
- base
- Radix
- The count of symbols used by the number system, such as 2, 8, 10, or 16.
- position
- Power index
- Positions are counted from right to left starting at zero.
How this number base converter works
The converter validates input digits for the selected base, converts to decimal, then formats the same value in binary, octal, decimal, and hexadecimal.
- Validate the input against the selected source base.
- Parse the input into a decimal integer using positional notation.
- Convert that decimal value into binary, octal, decimal, and hexadecimal strings.
- Group binary and hexadecimal output for easier reading.
- Keep recent conversions in local page state for quick comparison.
Important notes
- This page handles integer conversions, not floating-point binary representation.
- Very large integers may exceed JavaScript number precision and should be handled with a BigInt-specific tool.
- Signed integers, two's complement, byte order, and fixed-width overflow are separate representation questions.
Number base examples
These examples cover common developer use cases for binary, decimal, and hexadecimal conversion.
Hex color channel
Convert a decimal byte value to hexadecimal.
- Input: 255
- Source base: decimal
Hexadecimal: FF
One byte maps cleanly to two hexadecimal digits.
Network-related binary check
Understand why 192 appears as C0 in IPv4 hex notation.
- Input: 192
- Source base: decimal
Binary: 11000000, hexadecimal: C0
Binary and hex views are often easier for subnet masks and byte-level debugging.
Number base FAQ
Common boundaries for integer conversion and binary representation.
Use this result as an estimate
Number base conversion here is intended for unsigned integer notation. Confirm signedness, fixed width, byte order, and overflow behavior before using converted values in protocols, firmware, or binary file formats.