dBW to Watt Converter
Power · unit-converter
Convert dBW to Watt with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: dBW (dbw)
To: Watt (w)
About dBW
dBW is a logarithmic power level relative to 1 W: P(W) = 10^(dBW/10). RF, microwave, and antenna work often use dBW with dBm.
About Watt
The watt is the SI unit of power (one joule per second). All linear units in this converter are defined by a fixed watt equivalent.
How to convert decibels relative to 1 w (dbw) to watts
dBm/dBW are logarithmic power levels. P_W = 10^((dBm − 30) / 10), P_W = 10^(dBW / 10), and inverse mappings use 10 × log₁₀(·) with P_W > 0.
To reach Watt, convert dBm → W, then divide by the watt factor for w (1 W per 1 w).
Examples
Example #1: Convert 10 dbw to watt
10 dbw → 10 w
Example #2: Convert 30 dbw to watt
30 dbw → 1000 w
Summary
To convert dBW to Watt, first convert dBW to watts: P_W = 10^(dBW/10). Then divide by the watt factor for w: value_w = P_W / 1.
Relationship context
You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)) and SI / decimal power (watts and prefixes) (Watts). Log units (dBm/dBW) use base-10 definitions relative to 1 mW or 1 W; linear units map through watts first, then to or from the selected log unit. Only strictly positive power in watts maps to a real dB power value.
Conversion tables
| dBW (dbw) | Watt (w) |
|---|---|
| 0.1 | 1.0232929923 |
| 1 | 1.2589254118 |
| 2 | 1.5848931925 |
| 3 | 1.995262315 |
| 4 | 2.5118864315 |
| 5 | 3.1622776602 |
| 6 | 3.9810717055 |
| 7 | 5.0118723363 |
| 8 | 6.3095734448 |
| 9 | 7.9432823472 |
| dBW (dbw) | Watt (w) |
|---|---|
| 10 | 10 |
| 20 | 100 |
| 30 | 1,000 |
| 40 | 10,000 |
| 50 | 100,000 |
| 60 | 1,000,000 |
| 70 | 10,000,000 |
| 80 | 100,000,000 |
| 90 | 1,000,000,000 |
| 100 | 10,000,000,000 |