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dBm, dBV and dBu

The decibel on its own is a ratio — it tells you how much bigger or smaller one signal is compared to another. But sometimes you need to express an absolute level, not just a ratio. That is where dBm and dBW come in for power, and dBV and dBu for voltage. You will see all four on datasheets, audio equipment and test instruments, and this lesson shows you how to read and convert each one.

What you will learn: The four absolute decibel units used in everyday electronics — dBm (decibels relative to 1 milliwatt), dBW (relative to 1 watt), dBV (relative to 1 volt) and dBu (relative to 0.775 volt) — how to convert between them, and when each one is used.

Why we need absolute decibel units

Suppose a datasheet says an amplifier has 20 dB of gain. That is useful — it means the output power is 100 times the input power. But it does not tell you the actual power levels. For that, you need a reference point. If the input is −10 dBm, you know the output is +10 dBm. Without the absolute unit, you can only describe ratios, not levels.

For power, two absolute references are in everyday use:

  • dBm — decibels relative to 1 milliwatt. Used for signal levels on datasheets and test instruments, wireless module output power, and small-signal measurements.
  • dBW — decibels relative to 1 watt. Used for high-power systems such as large amplifiers, broadcast transmitters and satellite links.

dBm — decibels relative to 1 milliwatt

The formula for converting a power in milliwatts to dBm is:

P(dBm) = 10 × log10(PmW / 1 mW)
which simplifies to:
P(dBm) = 10 × log10(PmW)

To go the other way — from dBm back to milliwatts:

PmW = 10(dBm / 10)

The reference point, 0 dBm, is exactly 1 milliwatt. Values above 0 dBm represent more than 1 mW; values below 0 dBm represent less.

Key dBm values to memorise

Just as with plain decibels, a handful of reference points get you through most calculations without needing a calculator:

dBmPower in milliwattsPower in wattsEveryday example
−120 dBm0.000 000 001 mW1 pW (picowatt)Noise floor of a sensitive measuring instrument
−90 dBm0.000 000 001 mW × 10001 pW × 1000 = 1 nWWeakest usable Wi-Fi signal
−60 dBm0.000 001 mW1 nW × 1000 = 1 μWTypical received Wi-Fi signal near the router
−30 dBm0.001 mW1 μWSmall signal at a sensor input
0 dBm1 mW0.001 WReference point; signal generator output
10 dBm10 mW0.01 WBluetooth module (Class 1) output
20 dBm100 mW0.1 WWi-Fi router output
30 dBm1000 mW1 WSmall speaker amplifier
40 dBm10 000 mW10 WDesktop speaker amplifier
50 dBm100 000 mW100 WHi-fi or car audio amplifier
60 dBm1 000 000 mW1 kWLarge PA amplifier or microwave oven magnetron

Notice the pattern: every +10 dBm multiplies the power by 10, and every +3 dBm approximately doubles it (because 100.3 ≈ 2). These two facts alone let you work out most dBm values mentally once you know a single reference point.

Vertical dBm scale from -100 dBm to +40 dBm with matching power in watts and voltage across 50 ohms, marked with practical examples: Bluetooth receiver sensitivity (-90 dBm), Wi-Fi received signal (-60 dBm), signal generator output (0 dBm = 1 mW), Wi-Fi transmit power (+20 dBm = 100 mW), 10 W amplifier (+40 dBm)

The dBm scale: every 10 dB is a factor of ten in power, and 0 dBm is 1 mW. Wireless modules, signal generators and RF amplifiers all specify power in dBm.

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Converting between watts and dBm

The conversion steps are:

  1. Convert the power to milliwatts (multiply watts by 1000).
  2. Take log10 of the milliwatt value.
  3. Multiply by 10.
Example: An amplifier outputs 100 W. What is that in dBm?
100 W = 100 000 mW
log10(100 000) = 5
P(dBm) = 10 × 5 = 50 dBm
Example: An instrument's noise floor is specified as −110 dBm. What power is that?
PmW = 10(−110/10) = 10−11 = 0.000 000 000 01 mW
= 10 picowatts (pW)

dBW — decibels relative to 1 watt

dBW uses exactly the same formula as dBm, but the reference is 1 watt instead of 1 milliwatt:

P(dBW) = 10 × log10(PW / 1 W)
which simplifies to:
P(dBW) = 10 × log10(PW)

The key relationship between dBm and dBW is straightforward: since 1 watt = 1000 mW = 30 dBm, every dBW value is exactly 30 dB higher in milliwatt terms:

dBW = dBm − 30
or equivalently:
dBm = dBW + 30
Example: 100 W = 50 dBm = 50 − 30 = 20 dBW
Example: 1 kW = 60 dBm = 60 − 30 = 30 dBW

Watts / dBm / dBW Calculator

Watts to dBm and dBW

Enter a power in watts to convert it to dBm and dBW.

Enter a wattage above and press Convert.

dBm to Watts and dBW

Enter a power level in dBm to convert it to milliwatts, watts and dBW.

Enter a dBm value above and press Convert.

dBV — decibels relative to 1 volt

dBm and dBW describe power, which depends on the load the signal is driving. In audio and measurement work you usually care about the voltage of a signal, measured across a high-impedance input. For voltage levels, two references are in everyday use, and both use the 20 × log formula because they compare voltages:

V(dBV) = 20 × log10(VRMS / 1 V)
VRMS = 10(dBV / 20) volts

The reference, 0 dBV, is exactly 1 V RMS. dBV is the unit used for consumer audio equipment and for the vertical scale of many oscilloscope FFT displays and audio analyzers.

Example: Consumer "line level" audio (CD players, phones, computer sound cards) is nominally −10 dBV. What voltage is that?
V = 10(−10/20) = 10−0.5 = 0.316 V RMS

dBu — decibels relative to 0.775 volt

dBu uses a reference of 0.775 V RMS. That odd-looking number is the voltage that delivers exactly 1 mW into a 600 Ω load (V = √(0.001 × 600) = 0.775 V), the standard impedance of old telephone and studio equipment. The 600 Ω load is no longer required, but the reference voltage stuck.

V(dBu) = 20 × log10(VRMS / 0.775 V)

Professional audio equipment (mixing desks, studio interfaces, PA systems) uses dBu. Professional line level is nominally +4 dBu = 0.775 × 10(4/20) ≈ 1.23 V RMS.

Converting between dBV and dBu

Since 1 V is 2.2 dB above 0.775 V (20 × log(1 / 0.775) = 2.21 dB), the conversion is simply:

dBu = dBV + 2.2
dBV = dBu − 2.2
Example: Professional +4 dBu line level is +4 − 2.2 = +1.8 dBV, while consumer line level is −10 dBV. The difference is 11.8 dB — about 3.9 times the voltage — which is why plugging consumer gear into a professional mixer (or the other way round) gives a signal that is far too quiet or far too loud.

When each unit is used

UnitWhat it measuresTypical use
dBmAbsolute power (ref: 1 mW)Signal levels on datasheets and instruments, wireless module output power, spectrum analyzer readings
dBWAbsolute power (ref: 1 W)High-power systems, broadcast and satellite link budgets
dBVAbsolute voltage (ref: 1 V RMS)Consumer audio, microphone sensitivity, audio analyzer and oscilloscope FFT displays
dBuAbsolute voltage (ref: 0.775 V RMS)Professional audio, mixing desks and studio equipment

In a real system you will often mix these units. For example: a microphone's sensitivity in dBV, a preamplifier's gain in dB, a mixer's output in dBu, and a power amplifier's output in dBm or watts. As long as you keep track of what each number references, the arithmetic stays simple.

Frequently Asked Questions

What does a microphone sensitivity of −40 dBV mean?

Microphone sensitivity is the output voltage for a standard sound level (94 dB SPL, about the level of loud speech close up). −40 dBV means the microphone produces 10(−40/20) = 0.01 V, or 10 mV RMS, at that level. A microphone rated at −50 dBV produces only 3.2 mV and needs 10 dB more preamplifier gain to reach the same output.

Why do some specifications use negative dBm numbers?

Because the signal levels involved are far below 1 milliwatt. A Wi-Fi receiver might work down to −90 dBm, which is 10−9 milliwatts, or one picowatt — an inconveniently small number to write out. The negative dBm value is much easier to work with and makes comparisons simple: −90 dBm is 10 dB (ten times) weaker than −80 dBm.

Can I convert dBm to dBV directly?

Only if you know the impedance, because power depends on both voltage and resistance (P = V²/R). In a 50 Ω system, used by most RF test equipment, 0 dBm = 0.224 V RMS = −13 dBV. In a 600 Ω system, 0 dBm = 0.775 V = 0 dBu, which is where the dBu reference came from. Always check the impedance before converting between power and voltage units.

Why does my audio interface have a switch for −10 dBV and +4 dBu?

The switch matches the interface to the two common line levels. Consumer equipment works around −10 dBV (0.316 V) and professional equipment around +4 dBu (1.23 V), a difference of about 12 dB. Setting the switch correctly keeps the signal well above the noise without overloading the input.

Test Your Knowledge

Answer the questions below to check your understanding of this lesson. Every answer can be found in the lesson above.

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