This tool calculates the Power Ratio from its deciBel (dB) value.
Formula
Power Ratio = 10PdB/10
Example Calculation
A ratio quantifies how many times one number contains another. For instance, a ratio of two powers denoted P1:P2 = 3:1 means the power P1 is three times P2. Conversely P2 is one-third the value of P1. The power ratio is a linear value and has no units.
deciBel or dB expresses the ratio between two numbers on a logarithmic scale. It is useful for representing both large and small numbers.
The calculator on this page converts from a the ratio to its deciBel equivalent.
- For a PdB value of 100 dB, the Power ratio is 10000000000 = 1010
- A PdB value of 1 dB gives a linear Power ratio of 1.26
PdB values less than 0 dB have a power ratio between 0 and 1. For instance, PdB = -10 dB gives a ratio of 0.1. The more negative the dB value, the closer to 0 the ratio.
Table of dB to Power Ratio
This table presents linear equivalent over the range -100 dB to +100 dB.
| dB | Linear |
|---|---|
| -100 | 1.0000E-10 |
| -99 | 1.2589E-10 |
| -98 | 1.5849E-10 |
| -97 | 1.9953E-10 |
| -96 | 2.5119E-10 |
| -95 | 3.1623E-10 |
| -94 | 3.9811E-10 |
| -93 | 5.0119E-10 |
| -92 | 6.3096E-10 |
| -91 | 7.9433E-10 |
| -90 | 1.0000E-09 |
| -89 | 1.2589E-09 |
| -88 | 1.5849E-09 |
| -87 | 1.9953E-09 |
| -86 | 2.5119E-09 |
| -85 | 3.1623E-09 |
| -84 | 3.9811E-09 |
| -83 | 5.0119E-09 |
| -82 | 6.3096E-09 |
| -81 | 7.9433E-09 |
| -80 | 1.0000E-08 |
| -79 | 1.2589E-08 |
| -78 | 1.5849E-08 |
| -77 | 1.9953E-08 |
| -76 | 2.5119E-08 |
| -75 | 3.1623E-08 |
| -74 | 3.9811E-08 |
| -73 | 5.0119E-08 |
| -72 | 6.3096E-08 |
| -71 | 7.9433E-08 |
| -70 | 1.0000E-07 |
| -69 | 1.2589E-07 |
| -68 | 1.5849E-07 |
| -67 | 1.9953E-07 |
| -66 | 2.5119E-07 |
| -65 | 3.1623E-07 |
| -64 | 3.9811E-07 |
| -63 | 5.0119E-07 |
| -62 | 6.3096E-07 |
| -61 | 7.9433E-07 |
| -60 | 1.0000E-06 |
| -59 | 1.2589E-06 |
| -58 | 1.5849E-06 |
| -57 | 1.9953E-06 |
| -56 | 2.5119E-06 |
| -55 | 3.1623E-06 |
| -54 | 3.9811E-06 |
| -53 | 5.0119E-06 |
| -52 | 6.3096E-06 |
| -51 | 7.9433E-06 |
| -50 | 1.0000E-05 |
| -49 | 1.2589E-05 |
| -48 | 1.5849E-05 |
| -47 | 1.9953E-05 |
| -46 | 2.5119E-05 |
| -45 | 3.1623E-05 |
| -44 | 3.9811E-05 |
| -43 | 5.0119E-05 |
| -42 | 6.3096E-05 |
| -41 | 7.9433E-05 |
| -40 | 1.0000E-04 |
| -39 | 1.2589E-04 |
| -38 | 1.5849E-04 |
| -37 | 1.9953E-04 |
| -36 | 2.5119E-04 |
| -35 | 3.1623E-04 |
| -34 | 3.9811E-04 |
| -33 | 5.0119E-04 |
| -32 | 6.3096E-04 |
| -31 | 7.9433E-04 |
| -30 | 1.0000E-03 |
| -29 | 1.2589E-03 |
| -28 | 1.5849E-03 |
| -27 | 1.9953E-03 |
| -26 | 2.5119E-03 |
| -25 | 3.1623E-03 |
| -24 | 3.9811E-03 |
| -23 | 5.0119E-03 |
| -22 | 6.3096E-03 |
| -21 | 7.9433E-03 |
| -20 | 1.0000E-02 |
| -19 | 1.2589E-02 |
| -18 | 1.5849E-02 |
| -17 | 1.9953E-02 |
| -16 | 2.5119E-02 |
| -15 | 3.1623E-02 |
| -14 | 3.9811E-02 |
| -13 | 5.0119E-02 |
| -12 | 6.3096E-02 |
| -11 | 7.9433E-02 |
| -10 | 1.0000E-01 |
| -9 | 1.2589E-01 |
| -8 | 1.5849E-01 |
| -7 | 1.9953E-01 |
| -6 | 2.5119E-01 |
| -5 | 3.1623E-01 |
| -4 | 3.9811E-01 |
| -3 | 5.0119E-01 |
| -2 | 6.3096E-01 |
| -1 | 7.9433E-01 |
| 0 | 1.0000E+00 |
| 1 | 1.2589E+00 |
| 2 | 1.5849E+00 |
| 3 | 1.9953E+00 |
| 4 | 2.5119E+00 |
| 5 | 3.1623E+00 |
| 6 | 3.9811E+00 |
| 7 | 5.0119E+00 |
| 8 | 6.3096E+00 |
| 9 | 7.9433E+00 |
| 10 | 1.0000E+01 |
| 11 | 1.2589E+01 |
| 12 | 1.5849E+01 |
| 13 | 1.9953E+01 |
| 14 | 2.5119E+01 |
| 15 | 3.1623E+01 |
| 16 | 3.9811E+01 |
| 17 | 5.0119E+01 |
| 18 | 6.3096E+01 |
| 19 | 7.9433E+01 |
| 20 | 1.0000E+02 |
| 21 | 1.2589E+02 |
| 22 | 1.5849E+02 |
| 23 | 1.9953E+02 |
| 24 | 2.5119E+02 |
| 25 | 3.1623E+02 |
| 26 | 3.9811E+02 |
| 27 | 5.0119E+02 |
| 28 | 6.3096E+02 |
| 29 | 7.9433E+02 |
| 30 | 1.0000E+03 |
| 31 | 1.2589E+03 |
| 32 | 1.5849E+03 |
| 33 | 1.9953E+03 |
| 34 | 2.5119E+03 |
| 35 | 3.1623E+03 |
| 36 | 3.9811E+03 |
| 37 | 5.0119E+03 |
| 38 | 6.3096E+03 |
| 39 | 7.9433E+03 |
| 40 | 1.0000E+04 |
| 41 | 1.2589E+04 |
| 42 | 1.5849E+04 |
| 43 | 1.9953E+04 |
| 44 | 2.5119E+04 |
| 45 | 3.1623E+04 |
| 46 | 3.9811E+04 |
| 47 | 5.0119E+04 |
| 48 | 6.3096E+04 |
| 49 | 7.9433E+04 |
| 50 | 1.0000E+05 |
| 51 | 1.2589E+05 |
| 52 | 1.5849E+05 |
| 53 | 1.9953E+05 |
| 54 | 2.5119E+05 |
| 55 | 3.1623E+05 |
| 56 | 3.9811E+05 |
| 57 | 5.0119E+05 |
| 58 | 6.3096E+05 |
| 59 | 7.9433E+05 |
| 60 | 1.0000E+06 |
| 61 | 1.2589E+06 |
| 62 | 1.5849E+06 |
| 63 | 1.9953E+06 |
| 64 | 2.5119E+06 |
| 65 | 3.1623E+06 |
| 66 | 3.9811E+06 |
| 67 | 5.0119E+06 |
| 68 | 6.3096E+06 |
| 69 | 7.9433E+06 |
| 70 | 1.0000E+07 |
| 71 | 1.2589E+07 |
| 72 | 1.5849E+07 |
| 73 | 1.9953E+07 |
| 74 | 2.5119E+07 |
| 75 | 3.1623E+07 |
| 76 | 3.9811E+07 |
| 77 | 5.0119E+07 |
| 78 | 6.3096E+07 |
| 79 | 7.9433E+07 |
| 80 | 1.0000E+08 |
| 81 | 1.2589E+08 |
| 82 | 1.5849E+08 |
| 83 | 1.9953E+08 |
| 84 | 2.5119E+08 |
| 85 | 3.1623E+08 |
| 86 | 3.9811E+08 |
| 87 | 5.0119E+08 |
| 88 | 6.3096E+08 |
| 89 | 7.9433E+08 |
| 90 | 1.0000E+09 |
| 91 | 1.2589E+09 |
| 92 | 1.5849E+09 |
| 93 | 1.9953E+09 |
| 94 | 2.5119E+09 |
| 95 | 3.1623E+09 |
| 96 | 3.9811E+09 |
| 97 | 5.0119E+09 |
| 98 | 6.3096E+09 |
| 99 | 7.9433E+09 |
| 100 | 1.0000E+10 |