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Decibel-watt to Watt Converter

0 dBW is 1 W. Convert decibel-watts (dBW) to watts (W) below: type a value and the result updates as you type.

dBW to W calculator

Dot or comma decimals and scientific notation (1e-3) work.

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Result

Decibel-watt to Watt conversion

1 dBW ≈ 1.258925412 Wone decibel-watt in watts

1 W = 0 dBWone watt in decibel-watts

Decibel-watt (dBW): Power level relative to one watt: 10 times the base-10 logarithm of the power in watts. 0 dBW is 1 W.

Watt (W): SI derived unit: one joule per second.

Source:Decibel-watt: IEC 60027-3:2002, Logarithmic and related quantities, and their units; Watt: SI Brochure, 9th edition (BIPM, 2019)

How to convert decibel-watts to watts

To convert decibel-watts to watts, divide the level by 10, raise 10 to that power.

Formula

W = 10^(dBW ÷ 10)

Examples

  • 0 dBW = 10^(0 ÷ 10) = 1 W
  • 10 dBW = 10^(10 ÷ 10) = 10 W
  • 30 dBW = 10^(30 ÷ 10) = 1000 W

Decibel-watt to Watt conversion table

Decibel-watt to Watt
Decibel-watt (dBW)Watt (W)
-30 dBW0.001 W
-20 dBW0.01 W
-10 dBW0.1 W
0 dBW1 W
3 dBW1.995262315 W
10 dBW10 W
13 dBW19.95262315 W
20 dBW100 W
30 dBW1000 W
40 dBW10000 W
50 dBW100000 W

Values rounded to 10 significant digits where needed.

Frequently asked questions

What is 0 dBW in W?
0 dBW is 1 W. To convert decibel-watts to watts, divide the level by 10, raise 10 to that power.
How do I convert watts to decibel-watts?
To convert watts to decibel-watts, take the base-10 logarithm of the amount, then multiply by 10. The formula is dBW = 10 × log₁₀(W).
Is this conversion exact?
Yes. Both units have exact definitions and the factor 1 is exact. Displayed results are only rounded when they have many decimal places.