Hex to Decimal Formula Explained, With Examples
Every hex to decimal result comes from one formula. Once you understand what goes into it, you can sanity-check any figure you are given, whether by an employer, a bank, a teacher or another website.
The formula
Sum each digit × 16^position.
What each input means
- Hexadecimal number: the value you enter in the calculator.
Example
For example, with these inputs:
- Hexadecimal number: FF
the calculator returns:
- Decimal: 255
Why it matters
These calculations come up in school, at work and in daily life, from PSLE and O-Level practice to measuring a room for new flooring. Doing them by hand builds understanding, and a calculator lets you check the answer instantly.
A quick mental estimate before calculating is a powerful check. If a room's floor area comes out at 4,000 square metres or a percentage comes out above 100% when it should not, you know to look again.
Rounding is a common source of small errors. Keep full precision during intermediate steps and round only the final answer to the number of decimal places or significant figures the question asks for.
Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.
Related calculations
- Volume of a Cylinder Calculator: Calculates the volume of a cylinder from the measurements you enter.
- Volume of a Cone Calculator: Calculates the volume of a cone from the measurements you enter.
- Volume of a Square Pyramid Calculator: Calculates the volume of a square pyramid from the measurements you enter.
- Volume of a Hemisphere Calculator: Calculates the volume of a hemisphere from the measurements you enter.
Use the Hex to Decimal Converter to plug in your own numbers.
Run your own numbers: Hex to Decimal Converter