- Base 16 result
- 10F
- Decimal
- 271
How it works
Crossing a byte boundary does not wrap
FF + 1 returns 100 in hexadecimal, equivalent to decimal 256. This calculator keeps the integer result; an eight-bit storage system would need separate overflow handling rather than silently assuming this result fits one byte.
Working with hexadecimal place values
Hexadecimal notation uses digits and letter symbols to represent values in a base larger than decimal. Check the input mode before pasting a number, because a string containing only digits can still have different values in different bases. Conversion changes representation rather than quantity. Arithmetic results follow the supported number model, not every fixed-width overflow rule used by programming languages.
Arithmetic: formula and assumptions
Convert positional digits to integers, perform the operation, and convert back to the chosen base.
Division returns the integer quotient and remainder. Inputs use no prefixes.
Convert decimal and hexadecimal: formula and assumptions
Interpret positional digits, then format the exact integer in the other base.
Signed integers are supported. Letters A–F are case-insensitive.
Worked example
Using the Arithmetic example:
- First number
- FF
- Operation
- Add
- Second number
- 10
Convert positional digits to integers, perform the operation, and convert back to the chosen base.
Example result
Base 16 result: 10F
Decimal: 271
These are illustrative inputs. Change the values to explore a different scenario.
Formula references
References explain the underlying methods; they do not imply endorsement or individual professional review of Finflo.
Common questions
Are uppercase and lowercase hexadecimal letters different?
No. A–F and a–f represent the same digits. Enter the digits without a base prefix.
Why does hexadecimal division show a remainder?
The integer arithmetic mode separates the quotient and remainder instead of producing a fractional hexadecimal result.
Prepared by Finflo. See our methodology and editorial policy.