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dB to Watt Converter

This dB to watt converter turns dBm or dBW into absolute power. Uses P = 10^(dBm/10) mW or P = 10^(dBW/10) W, with auto-scaling to femtowatts through megawatts and zone labels from broadcast transmit down to the thermal noise floor.

Input

dBm
−1200+60
Current value: +20 dBm (slider −120 to +60; type for wider range)
Common RF Power Levels

Result

Absolute Power
power (auto-scaled)
Watts
Milliwatts
Equivalent (other mode)
Vrms across 50 Ω
Formulas
dBm → power: P(mW) = 10^(dBm / 10) ; P(W) = 10^((dBm − 30) / 10)
dBW → power: P(W) = 10^(dBW / 10) ; P(mW) = 10^((dBW + 30) / 10)
Mode bridge: dBm = dBW + 30 (1 W = 1000 mW → +30 dB)
Voltage across 50 Ω: Vrms = √(P × 50) — RF reference impedance

Common dBm / dBW Reference

dBmdBWPowerReal-World Example
+90 dBm+60 dBW1 MWAM radio broadcast transmitter
+80 dBm+50 dBW100 kWFM radio / TV transmitter
+60 dBm+30 dBW1 kWHigh-power amateur radio
+50 dBm+20 dBW100 WTypical HF amateur amplifier
+40 dBm+10 dBW10 WVHF/UHF mobile rig; many EIRP caps
+36 dBm+6 dBW4 WCellular UE peak transmit
+30 dBm0 dBW1 WWiFi router max (US 2.4 GHz EIRP)
+23 dBm−7 dBW~200 mWWiFi laptop / phone TX peak
+20 dBm−10 dBW100 mWTypical WiFi transmit
+10 dBm−20 dBW10 mWBluetooth Class 1 max
+4 dBm−26 dBW~2.5 mWBluetooth Class 2 max
0 dBm−30 dBW1 mWReference (laser pointer, BLE)
−30 dBm−60 dBW1 µWStrong WiFi receive signal
−60 dBm−90 dBW1 nWSolid WiFi signal a few rooms away
−80 dBm−110 dBW10 pWWorkable WiFi signal
−100 dBm−130 dBW0.1 pWCellular at edge of service
−120 dBm−150 dBW1 fWSensitive receiver threshold
−174 dBm/Hz−204 dBW/Hz~4 × 10⁻²¹ W/HzThermal noise floor at 290 K

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About dBm, dBW & Absolute Power

dBm and dBW are absolute power units — unlike a plain "dB" which is a dimensionless ratio, these specify what 0 dB refers to. 0 dBm = 1 milliwatt, and 0 dBW = 1 watt. Because 1 W = 1000 mW = 30 dB above 1 mW, the two scales are offset by exactly 30: dBm = dBW + 30. Both convert to linear power with the ÷10 form: P = 10^(dB / 10), since dBm and dBW measure power directly (not amplitude). This RF power calculator handles both modes and auto-scales the result from femtowatts to megawatts, making it useful whether you are sizing antenna power budgets or tracing a received WiFi power level back to milliwatts. To go the other direction — convert measured watts or milliwatts back — use the Watt to dB Converter.

Why ÷10 and not ÷20?

The ÷20 form is for amplitude (voltage, sound pressure, field strength). The ÷10 form is for power (watts, intensity, energy flux). Since dBm and dBW are power units, we use ÷10. If you have a voltage in dBV and want power, you have to know the load impedance — a 1 V signal across 50 Ω is 20 mW (+13 dBm), but across 600 Ω it's 1.67 mW (+2.2 dBm). dBm sidesteps that ambiguity by always referring to power directly. For amplitude-ratio dB conversions (dBV, dBFS, dBu), see the dB to Amplitude Converter.

Why these specific reference values?

1 mW (0 dBm) emerged historically as a convenient telecom reference — early telephone audio levels and microwave test equipment were normalized around 1 mW into 600 Ω (audio) or 50 Ω (RF). 1 W (0 dBW) is the natural SI choice. Telecom and RF engineering prefer dBm because typical received signal powers span many orders of magnitude below 1 W; broadcast and radar applications prefer dBW because typical transmit powers run above 1 W. In link budget calculations, gains (amplifiers, antenna directivity) are added and losses (cable attenuation, free-space path loss, connector insertion loss) are subtracted — all as simple arithmetic on the dB scale.

The thermal noise floor: −174 dBm/Hz

Every receiver competes with thermal noise at kTB — Boltzmann's constant × temperature × bandwidth. At room temperature (290 K), this is −174 dBm per Hz of bandwidth. For a 20 MHz WiFi channel that's −174 + 10·log₁₀(20×10⁶) ≈ −101 dBm — the absolute floor below which no signal can be reliably detected. Real receivers add noise figure (NF) of a few dB on top, so practical sensitivity floors sit around −95 to −100 dBm for WiFi and −110 to −120 dBm for narrowband cellular receivers. Signal-to-noise ratio (SNR) is the difference in dB between the received signal power and this noise floor — the higher the SNR, the more robustly the link decodes.

Worked example: convert +36 dBm to watts

The formula is P(mW) = 10^(dBm / 10). To convert +36 dBm to watts, apply it step by step: divide the dBm value by 10 to get the exponent (36 / 10 = 3.6), then raise 10 to that power (10^3.6 = 3981 mW), then divide by 1000 to get watts: ≈ 3.98 W. This is the standard peak transmit power of a cellular handset (3GPP Power Class 3, +36 dBm). Two common anchor references make mental arithmetic easier: +30 dBm = 1 W exactly (since 10^3 = 1000 mW), and +40 dBm = 10 W (since 10^4 = 10,000 mW). Every +10 dBm step multiplies power by 10; every +3 dBm step roughly doubles it. To reverse the calculation and convert a known wattage back to dBm, use the Watt to dB Converter. For amplitude-domain dB work (voltage, dBV, dBFS), see the dB to Amplitude Converter instead.

Frequently Asked Questions

What is +30 dBm in watts?
+30 dBm = 10^(30/10) = 10³ = 1000 mW = 1 W. This is the standard regulatory cap for WiFi 2.4 GHz routers in the US (effective isotropic radiated power, EIRP). Each +10 dBm = 10× the power, so +20 dBm = 100 mW, +40 dBm = 10 W, and so on.
How do I convert dBm to dBW (or vice versa)?
Subtract or add 30: dBW = dBm − 30 and dBm = dBW + 30. So 0 dBm = −30 dBW and 0 dBW = +30 dBm. The 30 comes from 10·log₁₀(1000), since 1 W = 1000 mW. No multiplication needed — the dB scale handles the conversion as simple addition.
Why does my WiFi receive signal look like −80 dBm — that's a tiny number, right?
Yes — −80 dBm is 10 picowatts (10⁻¹¹ watts). Modern radios are astonishingly sensitive. WiFi typically works down to about −90 dBm (1 pW), and below −95 dBm the link usually breaks. Cellular UEs can decode at −110 dBm (10 fW) thanks to processing gain and forward error correction.
Is +6 dBm "double" of +3 dBm?
No. +3 dB = double power, so +6 dBm = 4× the power of +3 dBm. Specifically: +3 dBm = 1.995 mW, +6 dBm = 3.98 mW, +10 dBm = 10 mW. The doubling rule for amplitude (×2 = +6 dB) is different from the doubling rule for power (×2 = +3 dB). Since dBm and dBW are power units, +3 dB always means "double power" here.
What's "EIRP" and how is it different from transmit power?
EIRP = Effective Isotropic Radiated Power. It's the transmit power that an ideal omnidirectional (isotropic) antenna would need to produce the same signal in your antenna's main beam direction. EIRP = TX power + antenna gain (dB). A 100 mW (+20 dBm) router into a 6 dBi gain antenna has +26 dBm EIRP ≈ 400 mW in the direction the antenna favors. Regulatory limits (FCC, ETSI) are usually specified as EIRP, not raw TX power.
What does "−174 dBm/Hz" mean?
It's the thermal noise spectral density at 290 K — the noise power per 1 Hz of bandwidth. To get noise in a wider bandwidth, add 10·log₁₀(BW): for a 1 MHz channel, noise ≈ −174 + 60 = −114 dBm. For 20 MHz WiFi, ≈ −101 dBm. Real receivers add a "noise figure" (NF) of typically 3 to 10 dB on top. Below this floor, no signal can be reliably extracted.
How does cable or path loss change a dBm power level?
Loss subtracts directly in dB. A transmitter at +20 dBm feeding a coax cable with 3 dB of loss delivers +17 dBm at the antenna. Free-space path loss over distance works the same way — add the gains (antenna, amplifier) and subtract the losses (cable, splitters, path) to find the signal level at any point. This arithmetic-on-dB shortcut is the main reason RF engineers use dBm in link budgets rather than raw milliwatts.
What is dBc and how is it related to dBm?
dBc (decibels relative to the carrier) is a relative unit — it measures a signal's power compared to a carrier tone in the same system, rather than a fixed reference. If your transmitter's carrier is +30 dBm and a spurious emission measures −10 dBc, that spur is at +20 dBm in absolute terms. Spectrum analyzers commonly display both: the carrier in dBm, harmonics and spurs in dBc.
How do I convert dBm to voltage (dBV or Vrms)?
You need to know the load impedance. The standard RF impedance is 50 Ω: Vrms = √(P × R) = √(P_W × 50). At 0 dBm (1 mW) across 50 Ω, Vrms = √(0.001 × 50) ≈ 0.224 V. In audio (600 Ω or 10 kΩ systems), the same dBm maps to a different voltage entirely. The converter above shows Vrms across 50 Ω automatically; for other impedances, divide P_W by your load resistance and take the square root.