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Sound Converter

Convert between the logarithmic sound-level units — bel, decibel, and neper.

Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.

The numeric value you want to convert. Decimals are accepted.

Result

1 Bel = 10 Decibels

1 Decibel = 0.1 Bels

1 B in every supported unit

What is a Sound Converter?

Unlike almost every other converter on this site, this one doesn't convert a physical quantity like length or mass — it converts between logarithmic RATIO units. The bel and its familiar subdivision, the decibel, express how many times bigger (or smaller) a measured power or amplitude is compared to a reference level, compressed onto a manageable log scale: a 10-times power ratio is exactly 1 bel (10 decibels), a 100-times ratio is 2 bels (20 decibels), and so on. The neper is an alternative logarithmic ratio unit built on the natural logarithm instead of the decibel's base-10 logarithm, preferred in some European engineering and transmission-line theory because it simplifies certain calculus.

Because bel, decibel, and neper are all just different fixed rescalings of the same underlying log-ratio value — 1 bel is always exactly 10 decibels and about 1.151 nepers, no matter what physical quantity's ratio was originally measured — converting between them is a simple, constant multiplication, exactly like converting between any other pair of units on this site. This converter is used whenever a sound level, signal gain/loss, or other ratio measurement needs to move between the everyday decibel and either its formal bel parent unit or the natural-log neper used in some technical literature.

Conversion chart: Bel to Decibels

Conversion table

Bel (B) Decibel (dB)
0.01 B 0.1 dB
0.1 B 1 dB
1 B 10 dB
2 B 20 dB
3 B 30 dB
5 B 50 dB
10 B 100 dB
20 B 200 dB
50 B 500 dB
100 B 1000 dB
1000 B 10000 dB

Supported Units

Unit Symbol In Bel
Bel B 1 B
Decibel dB 0.1 B
Neper Np 0.8686 B

About These Parameters

Value
The sound-level ratio you want to convert, expressed in the "From" unit — a decibel reading from a sound level meter, a signal-loss figure in bels, or a gain figure quoted in nepers.
From Unit
The unit your input value is currently measured in — most real-world readings are in decibels, while some European engineering texts and transmission-line specs use nepers or bels directly.
To Unit
The unit you want the result converted into. Use the swap button to flip From and To instantly, handy when translating a neper-based spec into the more familiar decibel or vice versa.

How Sound Level Conversion Works

The Formula

Every unit here is defined by a fixed multiplier relative to the bel. To convert a value from one unit to another:

result = value × (factor of "From" unit ÷ factor of "To" unit)

For Bel → Decibel: multiply by 10. For example, 1 B × 10 = 10 dB.

Why Logarithmic Units Convert Like Any Other Unit

It seems surprising at first that converting between "logarithmic" units could ever be a simple multiplication — logarithms usually mean exponential math is lurking somewhere. But bel, decibel, and neper don't measure a raw power or amplitude ratio directly; they measure the LOGARITHM of that ratio, and the logarithm itself is just a number. Bel and decibel differ only by a factor of 10 (base-10 log scaled by 1 vs. 10), while neper uses the natural logarithm instead of base-10 — so the constant that separates neper from bel or decibel is simply ln(10) rescaled, a fixed conversion factor exactly like meters-to-feet, not an exponential relationship.

Decibels in Everyday Life

The decibel scale is what makes sound levels manageable to talk about: the human ear can detect sound intensities spanning more than a trillion-fold range, from the quietest audible whisper to a jet engine at close range, and expressing that range in raw power ratios would require unwieldy numbers. On the decibel scale, a quiet room measures around 30 dB, normal conversation around 60 dB, heavy city traffic around 85 dB, and a jet engine at takeoff around 140 dB — each 10 dB step represents roughly a 10x increase in sound power (and is perceived by human hearing as roughly a doubling in loudness).

Example

A sound-level ratio of 1 B equals 10 dB. For scale, 1 bel (10 dB) represents a 10-times increase in power, while 1 neper represents roughly a 2.718-times (e-times) increase in amplitude.

Frequently Asked Questions

Why is the decibel used instead of the bel?

The bel turned out to be too coarse a unit for practical engineering — most real-world sound and signal measurements need finer resolution than whole bels provide. Telephone engineers at Bell Labs adopted the decibel (one-tenth of a bel) almost immediately after the bel was introduced, and it's been the standard ever since, with the bel surviving mainly as its formal parent unit.

What's the difference between a bel/decibel and a neper?

Both are logarithmic ratio units, but the bel and decibel are based on the base-10 (common) logarithm, while the neper is based on the natural (base-e) logarithm. They measure the same kind of thing — a ratio between two levels — just on differently-scaled log axes, which is why converting between them is a fixed multiplication (1 neper ≈ 8.686 decibels) rather than anything more complex.

Does this converter work for both power ratios and amplitude ratios?

Yes — the bel/decibel/neper conversion factors themselves don't depend on whether the original ratio being expressed was a power ratio or an amplitude (pressure, voltage) ratio, since that distinction is baked into how you calculated the decibel or neper value in the first place. Once you have a value already expressed in one of these three units, converting it to another follows the same fixed multiplier either way.

Why do decibels seem to add up strangely (e.g. two 60 dB sounds don't make 120 dB)?

Because decibels are logarithmic, not linear — doubling the actual sound power only adds about 3 dB, not 100% more decibels. Two identical 60 dB sources playing together produce about 63 dB total, not 120 dB, which is the same reason halving a sound's power only lowers its decibel level by about 3 dB rather than cutting the number in half.

Possible Sound Conversions

See also