Convert decibel (power)s to ratios

1.258 925 411 79×
≈ Rounded to 12 s.f. 1 dB ≈ 1.258 925 411 79 ×
As a fraction: 1258925411794167210423954106395800606093617409/1000000000000000000000000000000000000000000000
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Show this value in all 10 ratio & decibels units
  • Ratios × 1.258 925 411 79
  • Decibel (power)s dB 1
  • Decibel (amplitude)s dB 2
  • Bels B 0.1
  • Nepers Np 0.230 258 509 299
  • Decades dec 0.1
  • Octaves oct 0.332 192 809 489
  • Semitones st 3.986 313 713 86
  • Cents ¢ 398.631 371 386
  • Stop (photographic)s EV 0.332 192 809 489

Every row is Decibel (power) (dB) converted through the ratio, in exact rational arithmetic.

How to convert decibel (power)s to ratios

Convert through a plain ratio: decibel (power) → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.

Decibel (power): Ten times the base-10 log of a power ratio. 3 dB is roughly double the power.

Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.

Decibel (power) to Ratio conversion table

Decibel (power)s (dB) Ratios (×)
0 dB 1
1 dB 1.258 925 4
2 dB 1.584 893 2
3 dB 1.995 262 3
6 dB 3.981 071 7
10 dB 10
20 dB 100
30 dB 1000
40 dB 10 000
60 dB 1 000 000
80 dB 100 000 000
100 dB 10 000 000 000

Ratio to Decibel (power) conversion table

Ratios (×) Decibel (power)s (dB)
1 × 0
2 × 3.0103
3 × 4.771 212 5
5 × 6.9897
10 × 10
20 × 13.0103
25 × 13.9794
50 × 16.9897
100 × 20
250 × 23.9794
500 × 26.9897
1000 × 30

Frequently asked

How many ratios are in a decibel (power)?

One decibel (power) equals 1.258925412 ratios (dB → ×).

How do you convert decibel (power)s to ratios?

Convert through a plain ratio: decibel (power) → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.

What is 1 × in decibel (power)s?

One ratio is 0 decibel (power)s.

What is 10 dB in ×?

10 dB = 10 ×.

What exactly is a decibel (power)?

Ten times the base-10 log of a power ratio. 3 dB is roughly double the power.

What exactly is a ratio?

The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.

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