Calculator Tools
Decibel Converter
Convert decibels to and from ratios, plus dBm to watts and dBW to watts, for power and amplitude. Combine gain stages. Runs in your browser.
What to convert
Quantity type
Power, intensity, and energy use 10 x log10. Voltage, current, and sound pressure are amplitude quantities and use 20 x log10.
Positive is a gain, negative is a loss. 3 dB is about double the power, 6 dB about double the amplitude.
Result
Power ratio
1.9953
10 ^ (dB / 10)
Amplitude ratio
1.4125
10 ^ (dB / 20)
As a percentage
199.526 %
Power level vs reference
3 dB is a gain of about 1.9953x in power.
Common decibel values
| dB | Power ratio | Amplitude ratio |
|---|---|---|
| 0 dB | 1x | 1x |
| 3 dB | 2x | 1.41x |
| 6 dB | 4x | 2x |
| 10 dB | 10x | 3.16x |
| 20 dB | 100x | 10x |
| 40 dB | 10000x | 100x |
| -3 dB | 0.5x | 0.71x |
| -6 dB | 0.25x | 0.5x |
How the formulas work
- Power quantities: dB = 10 x log10(P / P_ref).
- Amplitude quantities (voltage, current, pressure): dB = 20 x log10(A / A_ref).
- The factor of two exists because power is proportional to the square of an amplitude, so +6 dB is double the voltage but quadruple the power.
- dBm references 1 mW and dBW references 1 W, so 0 dBW = +30 dBm.
- Decibels add along a signal chain because linear gains multiply.
How to use
- Pick what to convert: ratio to dB, dB to ratio, dBm and watts, dBW and watts, or combine gains.
- For the ratio and gain modes, choose whether the quantity is power (10 x log10) or amplitude such as voltage, current, or pressure (20 x log10).
- Type your value. Gains are positive, losses are negative, and ratios must be greater than zero. Commas and scientific notation are accepted.
- Read the result tiles, including the alternate interpretation and the dBm or dBW equivalents where relevant.
- In the combine mode, list each stage separated by commas or new lines to get the net dB and the linear factors.
- Press Copy on any result, and use the reference table to double-check common values. Everything runs locally.
About this tool
Decibel Converter turns decibels into the linear quantities they describe and back again, and it keeps the one distinction that trips almost everyone up front and center: whether you are working with a power quantity or an amplitude quantity. A decibel is a logarithmic ratio, but the formula depends on what is being measured. Power, intensity, and energy use dB = 10 x log10(P / P_ref), while amplitude quantities like voltage, current, and sound pressure use dB = 20 x log10(A / A_ref). The factor of two is not arbitrary: power is proportional to the square of an amplitude, so doubling a voltage is about +6 dB while doubling power is about +3 dB, and mixing the two formulas is the most common decibel mistake. This tool exposes both forms explicitly with a single toggle, so you always know which one you are using. It covers five jobs. Ratio to dB takes a plain linear ratio (output divided by input) and reports the decibel value for both the power and amplitude interpretations. dB to ratio goes the other way, turning a decibel figure into a linear factor and a percentage, which is handy for reading a filter response or an attenuation spec. The dBm tab converts between dBm and watts or milliwatts: dBm is power referenced to one milliwatt, the everyday unit of RF and wireless link budgets, where 0 dBm is exactly 1 mW and +30 dBm is 1 watt. The dBW tab does the same against a one-watt reference, and the tool always shows the dBm and dBW equivalents side by side so the 30 dB offset between them is never a surprise. The combine tab adds a list of gain and loss stages, because decibels add along a signal chain while the underlying linear gains multiply, and it reports the net dB along with the equivalent linear power and amplitude factors. A reference panel lists the values worth memorizing (3 dB is roughly double the power, 6 dB roughly double the amplitude, 10 dB exactly ten times the power, 20 dB ten times the amplitude) so you can sanity-check any result at a glance. This is the converter for audio engineers setting levels, RF and wireless engineers working link budgets in dBm, students learning the 10-log and 20-log rules, and anyone who needs to translate a gain spec into a real multiplier. Every calculation uses the browser's own math; nothing you enter is uploaded.
Free to use. Works in your browser. No signup, no login.
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