dB to Decimal Conversion Calculator

This tool converts a deciBel number (dB) to its decimal equivalent.

🔁 Decimal to dB

Formula

Converting a decimal (which typically represents a power ratio) to decibels (dB) involves using logarithmic calculations. Decibels are a logarithmic unit used to express ratios, particularly in the fields of acoustics and electronics.

The output power divided by the input power is the decimal ratio

P_decimal = P_OUT/P_IN

and

P_dB = 10*Log₁₀(P_decimal)

or

P_decimal = 10^(P_dB/10)

Example Calculations

Let’s say an amplifier module amplifies the input signal power by 30 dB. 

In this case, the ratio of output to input power expressed as a decimal number is 1000.