Power ratio to dBi

Type a value in × to get it in dBi instantly.

Gain

From To

4.771dBi

That's 1.83× as directional as a half-wave dipole, while a Wi-Fi router antenna is 1.05× more directional. That is 3× the power of an isotropic antenna in its best direction.

Convert the other way: dBi to ×

What it means

How much gain is that?

Peak gain in the main direction. Gain does not add power: it concentrates it, at the cost of other directions.

The math

How to convert × to dBi

dBi = dBd + 2.15; power ratio = 10^(dBi ÷ 10).

Example: 3 × = 4.77121 dBi.

Every unit

That gain in every unit

Tables

× to dBi conversion table

× to dBi conversion table
×	dBi
1.64 ×	2.14844 dBi
2.69 ×	4.29752 dBi
3.27 ×	5.14548 dBi
5.19 ×	7.15167 dBi
6.53 ×	8.14913 dBi
10.4 ×	10.1703 dBi
13 ×	11.1394 dBi
16.4 ×	12.1484 dBi
26 ×	14.1497 dBi
51.9 ×	17.1517 dBi
164 ×	22.1484 dBi
412 ×	26.149 dBi
1,640 ×	32.1484 dBi

dBi to × conversion table

dBi to × conversion table
dBi	×
0 dBi	1 ×
2.15 dBi	1.64059 ×
3 dBi	1.99526 ×
5 dBi	3.16228 ×
6 dBi	3.98107 ×
8 dBi	6.30957 ×
9 dBi	7.94328 ×
10 dBi	10 ×
12 dBi	15.8489 ×
15 dBi	31.6228 ×
20 dBi	100 ×
24 dBi	251.189 ×
30 dBi	1,000 ×

Quick answers

How many dBi is 1 ×?: 1 × is 0 dBi.
How many dBi is 10 ×?: 10 × is 10 dBi.
How many dBi is 3 ×?: 3 × is 4.77121 dBi.

The units

About these units

Power ratio (×)

Linear power gain over isotropic.

dBi (dBi)

Gain over an isotropic radiator.

Learn more about gain units

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