This tool converts from linear value to dB (deciBel).

**Formula**

**P _{dB} = 10*Log_{10}(P_{linear})**

**P _{linear}** =

**10**

^{(PdB/10)}**Background**

The dB scale is a convenient way to represent both large and small numbers. For instance, 10000000000 = 100 dB while 0.0000000001 = -100 dB.

Neither the linear value nor the dB value have units. If a number A is 100 times greater than another number B, then on the log scale we can say that A is 10*Log_{10}(100) = 20 dB greater than B.

**Example calculation**

Let’s say an amplifier module amplifies the input signal power by a factor of 10,000. Using the calculator, we can say that it is a 40 dB amplifier. The gain of an RF amplifier is almost always specified in terms of dB.