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 |