Hex to Decimal converter
Hex to Decimal converter. Exact conversion factors, worked examples, and privacy-first browser calculation on CalculatorX. Runs locally in your browser.
Enter values to convert.
Formulas
Core equations used by this converter.
How to use
Write place values \(16^0, 16^1, 16^2, \ldots\) under the di
Write place values \(16^0, 16^1, 16^2, \ldots\) under the digits (right to left).
Convert letter digits to values (A=10 … F=15).
Convert letter digits to values (A=10 … F=15).
Multiply and add.
Multiply and add.
Example conversions
Common values with formula and result.
3B₁₆
3B₁₆
E7A9₁₆
E7A9₁₆
Horner on `2F
Horner on `2F
Hex to Decimal converter specification
Version 1.1.0 · Engine tested
- Engine tested 3 published cases
- Named expert review Not performed
- Calculation version 1.1.0
- Definition
- **Hexadecimal (base 16)** — digits `0–9`, `A–F` (10–15). **Decimal (base 10)** — everyday integers.
- What it calculates
- Convert hexadecimal to decimal with positional notation: sum each digit × 16ⁿ. Digit values A–F, worked examples, and conversion table.
- Inputs
- Values required by the selected conversion mode
- Outputs
- Converted result in the target unit or format
- Formula
decimal = dₙ₋₁·16ⁿ⁻¹ + … + d₁·16¹ + d₀·16⁰- Hex to decimal conversion table
Hex Decimal 0 0 9 9 A 10 F 15 10 16 20 32 64 100 C8 200 FF 255 100 256 3E8 1000 7D0 2000 - Assumptions
- Conversion runs locally in the browser; values are not uploaded.
- Uses the formulas documented on this page.
- Units
- Formula
- Boundary conditions
- Empty or invalid input yields no valid result.
- Out-of-range values may be rejected by the tool runtime.
- Example
- 3B₁₆ → 59₁₀
- Validation cases
- 3B₁₆ → 59₁₀
- E7A9₁₆ → = 59305₁₀
- Horner on `2F → 47₁₀
- Sources
- CalculatorX converter runtime
- Standard unit / encoding definitions where applicable
- Calculation version
- 1.1.0
Background
Interpretation and common distinctions.
Use the converter tabs to switch direction when available. Results for Hex to Decimal converter update locally in your browser.
Related tools
Frequently asked questions
Key distinctions behind the conversion.
How do you convert using Hex to Decimal converter?
Use decimal = dₙ₋₁·16ⁿ⁻¹ + … + d₁·16¹ + d₀·16⁰. Example: 3B₁₆ → 59₁₀.
Can I switch direction?
Open the related reverse converter listed under Related tools.
Does this run online or locally?
Calculation runs locally in your browser. Values are not uploaded.
How precise are the results?
Results follow the formulas on this page. Round to the precision your use case needs.