Convert decibel (amplitude)s to ratios

1.122 018 454 3×
≈ Rounded to 12 s.f. 1 dB ≈ 1.122 018 454 3 ×
As a fraction: 1122018454301963435591038946477905736722308507/1000000000000000000000000000000000000000000000
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Show this value in all 10 ratio & decibels units
  • Ratios × 1.122 018 454 3
  • Decibel (power)s dB 0.5
  • Decibel (amplitude)s dB 1
  • Bels B 0.05
  • Nepers Np 0.115 129 254 65
  • Decades dec 0.05
  • Octaves oct 0.166 096 404 744
  • Semitones st 1.993 156 856 93
  • Cents ¢ 199.315 685 693
  • Stop (photographic)s EV 0.166 096 404 744

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

How to convert decibel (amplitude)s to ratios

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

Decibel (amplitude): For voltage, pressure and other field quantities. 6 dB is roughly double the amplitude — and the same fourfold change in power.

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

Decibel (amplitude) to Ratio conversion table

Decibel (amplitude)s (dB) Ratios (×)
0 dB 1
1 dB 1.122 018 5
2 dB 1.258 925 4
3 dB 1.412 537 5
6 dB 1.995 262 3
10 dB 3.162 277 7
20 dB 10
30 dB 31.622 777
40 dB 100
60 dB 1000
80 dB 10 000
100 dB 100 000

Ratio to Decibel (amplitude) conversion table

Ratios (×) Decibel (amplitude)s (dB)
1 × 0
2 × 6.020 599 9
3 × 9.542 425 1
5 × 13.9794
10 × 20
20 × 26.0206
25 × 27.9588
50 × 33.9794
100 × 40
250 × 47.9588
500 × 53.9794
1000 × 60

Frequently asked

How many ratios are in a decibel (amplitude)?

One decibel (amplitude) equals 1.122018454 ratios (dB → ×).

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

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

What is 1 × in decibel (amplitude)s?

One ratio is 0 decibel (amplitude)s.

What is 10 dB in ×?

10 dB = 3.162 277 7 ×.

What exactly is a decibel (amplitude)?

For voltage, pressure and other field quantities. 6 dB is roughly double the amplitude — and the same fourfold change in 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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