Convert Hexadecimal to Decimal Online - Free and Secure
Easily convert base-16 hexadecimal numbers into standard base-10 decimal integers. Our free online Hex to Decimal Converter helps developers, programmers, and students convert memory addresses and hexadecimal byte values. Perform real-time, client-side conversions of any integer length.
Positional Notation in Base-16
Every column in a hexadecimal number represents a positional weight that increases by a factor of 16 from right to left: 16^0 (1), 16^1 (16), 16^2 (256), 16^3 (4096), and so on. Multiplying each hex digit by its column weight and summing the products yields the base-10 decimal total.
Mathematical conversion formula:
Decimal Value = Σ (hex_digit_value × 16^position)
How to Convert Hex to Decimal (Step-by-Step)
- Label Positions: Label the position of each digit starting from index 0 on the far right.
- Map Letters: Convert letters (A-F) to their equivalent values:
- A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
- Multiply: Multiply each digit value by 16 raised to the power of its position index:
value * 16^position. - Sum: Add all the products together to obtain the decimal integer.
Arbitrary Precision
Uses high-precision BigInt arithmetic, allowing you to convert massive hex inputs without precision loss.
Systems Calculations
Perfect for systems engineers validating register values, memory configurations, and low-level code segments.
100% Client-Side
Calculations run locally inside your browser, providing maximum security for private data.
Hex to Decimal Reference Table
| Hexadecimal Value | Decimal Value |
|---|---|
| 01 | 1 |
| 0A | 10 |
| 0F | 15 |
| 20 | 32 |
| 41 | 65 |
| 64 | 100 |
| FF | 255 |