The base-16 system.
Hex uses 16 symbols: digits 0–9 plus letters A–F representing 10–15. Each position is a power of 16 — making hex 4× more compact than binary for the same value.
The Math
Wie die Hex-zu-Dezimal-Konvertierung funktioniert
Lernen Sie, wie Hexadezimal zu Dezimal konvertiert wird.
← KonverterPositional multiplication.
For 1A3F: compute 1×16³ + A×16² + 3×16¹ + F×16⁰ = 4096 + 2560 + 48 + 15 = 6719.
Sum the products.
Add every term together. The result is the exact decimal integer. Use the steps toggle in the converter to trace any value.
Worked examples.
FF→255
F (position 1)15 × 16¹ = 240
F (position 0)15 × 16⁰ = 15
Sum240 + 15 = 255
1A3F→6,719
1 (pos 3)1 × 16³ = 4,096
A (pos 2)10 × 16² = 2,560
3 (pos 1)3 × 16¹ = 48
F (pos 0)15 × 16⁰ = 15
Sum4,096 + 2,560 + 48 + 15 = 6,719
Powers of 16.
| Position | Power | Decimal | Bits |
|---|---|---|---|
| 0 | 16⁰ | 1 | 4 |
| 1 | 16¹ | 16 | 8 |
| 2 | 16² | 256 | 12 |
| 3 | 16³ | 4,096 | 16 |
| 4 | 16⁴ | 65,536 | 20 |
| 5 | 16⁵ | 1,048,576 | 24 |
| 6 | 16⁶ | 16,777,216 | 28 |
| 7 | 16⁷ | 268,435,456 | 32 |