How to Convert Decibels to Nepers
To convert decibels to nepers, divide the value by 8.686.
The Formula
Nepers = Decibels ÷ 8.686
Key Fact
1 neper = 8.686 decibels
Tip: To convert nepers back to decibels, multiply by 8.686.
Decibels to Nepers
Convert decibels (dB) to nepers (Np) with formulas, examples, and conversion tables.
dB
Np
1 dB = 0.1151 Np
Full precision:0.11512779 Np
Step-by-Step Solution
To convert 1 decibels to nepers, we divide by 8.686 because one neper equals exactly 8.686 decibels.
1 neper = 8.686 decibels
Since there are 8.686 decibels in every neper, we divide our value by this factor:
1 ÷ 8.686 = 0.1151 nepers
So 1 decibels = 0.1151 nepers.
Quick check: 0.1151 × 8.686 = 1 decibels
Example Conversions
Example 1: 1 dB = 0.1151 Np
1 ÷ 8.686 = 0.1151
1 ÷ 8.686 = 0.1151
Example 2: 5 dB = 0.5756 Np
5 ÷ 8.686 = 0.5756
5 ÷ 8.686 = 0.5756
Example 3: 10 dB = 1.1513 Np
10 ÷ 8.686 = 1.1513
10 ÷ 8.686 = 1.1513
Decibels to Nepers Table
| Decibels | Nepers |
|---|---|
| 1 dB | 0.1151 Np |
| 2 dB | 0.2303 Np |
| 5 dB | 0.5756 Np |
| 10 dB | 1.1513 Np |
| 20 dB | 2.3026 Np |
| 25 dB | 2.8782 Np |
| 50 dB | 5.7564 Np |
| 100 dB | 11.5128 Np |
| 250 dB | 28.7819 Np |
| 500 dB | 57.5639 Np |
| 1000 dB | 115.128 Np |
1 Decibel in Other Units
| Unit | 1 dB = |
|---|---|
| Decibels to Bels | 0.1 B |
| Decibels to Nepers | 0.115128 Np |
| Decibels to Pascals | 50000 Pa |
| Decibels to Micropascals | 1 μPa |
| Decibels to W/m² | 1e-12 W/m² |