How to Convert Nepers to Decibels
To convert nepers to decibels, multiply the value by 8.686.
The Formula
Decibels = Nepers × 8.686
Key Fact
1 neper = 8.686 decibels
Tip: To convert decibels back to nepers, divide by 8.686.
Nepers to Decibels
Convert nepers (Np) to decibels (dB) with formulas, examples, and conversion tables.
Np
dB
1 Np = 8.686 dB
Full precision:8.686 dB
Step-by-Step Solution
To convert 1 nepers to decibels, we multiply by 8.686 because one neper equals exactly 8.686 decibels.
1 neper = 8.686 decibels
Since each neper contains 8.686 decibels, we multiply our value by this factor:
1 × 8.686 = 8.686 decibels
So 1 nepers = 8.686 decibels.
Quick check: 8.686 ÷ 8.686 = 1 nepers
Example Conversions
Example 1: 1 Np = 8.686 dB
1 × 8.686 = 8.686
1 × 8.686 = 8.686
Example 2: 5 Np = 43.43 dB
5 × 8.686 = 43.43
5 × 8.686 = 43.43
Example 3: 10 Np = 86.86 dB
10 × 8.686 = 86.86
10 × 8.686 = 86.86
Nepers to Decibels Table
| Nepers | Decibels |
|---|---|
| 1 Np | 8.686 dB |
| 2 Np | 17.372 dB |
| 5 Np | 43.43 dB |
| 10 Np | 86.86 dB |
| 20 Np | 173.72 dB |
| 25 Np | 217.15 dB |
| 50 Np | 434.3 dB |
| 100 Np | 868.6 dB |
| 250 Np | 2171.5 dB |
| 500 Np | 4343 dB |
| 1000 Np | 8686 dB |
1 Neper in Other Units
| Unit | 1 Np = |
|---|---|
| Nepers to Bels | 0.8686 B |
| Nepers to Decibels | 8.686 dB |
| Nepers to Pascals | 434300 Pa |
| Nepers to Micropascals | 8.686 μPa |
| Nepers to W/m² | 8.69e-12 W/m² |