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dBm to mW converter

Decibel-milliwatts to milliwatts and back, with the formula worked.

Conversion
2 characters
Updates as you type
Watts0.1 W
Milliwatts100 mW
Microwatts100000 µW
dBW-10 dBW

Show the steps
  1. P(mW) = 10^(dBm ÷ 10) = 10^(20 ÷ 10) = 100 mW.
  2. Divide by 1,000 for watts: 0.1 W.
  3. Every 10 dB is a factor of 10, and every 3 dB is very nearly a factor of 2.

Using it

Type a power level in dBm, such as 20, 0 or −40. The output gives it in milliwatts; the rows give watts, microwatts and dBW too, and the steps show the formula with your number in it.

Swap the boxes to go from power to dBm. Type a power with its unit, such as 1 W, 250 mW or 5 µW; a plain number is read in the unit set under Power in.

The formula

dBm is power measured against one milliwatt on a logarithmic scale: P(mW) = 10^(dBm ÷ 10), and dBm = 10 × log10(P in mW). So 0 dBm is exactly 1 mW, 30 dBm is 1 W, and −30 dBm is 1 µW.

The scale turns multiplying into adding. Every +10 dB multiplies the power by 10 and every +3 dB very nearly doubles it, so a 20 dBm transmitter feeding an amplifier with 10 dB of gain puts out 30 dBm. Negative numbers aren't negative power, just less than a milliwatt: received radio signals are usually tiny, which is why phones and Wi-Fi tools show them as negative dBm.

dBm to power

dBmPower
−100 dBm0.1 pW
−90 dBm1 pW
−70 dBm100 pW
−50 dBm10 nW
−30 dBm1 µW
−20 dBm10 µW
−10 dBm100 µW
0 dBm1 mW
3 dBm1.99526 mW
10 dBm10 mW
20 dBm100 mW
27 dBm501.187 mW
30 dBm1 W
40 dBm10 W
50 dBm100 W
60 dBm1000 W

dBm, dBW and dB

dBW is the same idea measured against 1 watt instead of 1 milliwatt, so dBW = dBm − 30. Plain dB, with no letter after it, is a ratio between two powers, such as a gain or a loss, not a power level by itself.

Questions

How many watts is 30 dBm?

1 W.

How many milliwatts is 20 dBm?

100 mW.

What is 0 dBm?

Exactly 1 milliwatt, the reference level.

Why does 3 dB mean double?

10 × log10(2) is 3.0103, so doubling the power adds just over 3 dB.

Sources

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