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hello august iamp;#39;m dave casler amateur radio call sign ke0 og and welcome to ask dave episode 117. our topic for today is the decibel and how itamp;#39;s used in radio you see it everywhere in signal reports receiver comparisons antenna gain noise figures and so on letamp;#39;s see if we can unravel the decibel and make it not only useful but intuitive it should be noted that thereamp;#39;s a simple formula for the decibel letamp;#39;s take a look x in decibels is 10 times the common or base 10 logarithm of the ratio of two quantities this is the classic definition take any two quantities as long as they have the same units such as voltage or power for example letamp;#39;s say we have a small amplifier 5 watts goes in and 10 watts comes out thatamp;#39;s a gain of 2. to find this gain in decibels we apply the formula the number of decibels is 10 times the base 10 log of 10 over 5 or 10 times the log of 2 or 10 times nine 0.301029996 or to be close enough for radio p