A power ratio of 9000000:1 corresponds to ... dB?

Computers and Technology

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

69.54

Explanation:

A power ratio of 9000000:1 corresponds to 69.54 dB.

The calculation is presented below:

Formula for calculating Power ratio (db) = 10 * log [P(out)/P(in)]

Since the given ratio is 9000000:1, substituting in the formula gives us 10 * log (9000000/1)

Note that log 9000000 = 6.954

Therefore, 10 * log (9000000/1) = 69.54

Hence the required power ratio in db is 69.54 db.

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You need to understand the decimal equivalent of hexadecimal numbers, <em>from 0 to 9 numbers are represented the same way, from 10 to 15 we use the alphabet, meaning 10 equals A in hexadecimal base, 11-B, 12-C, 13-D, 14-E, and 15-F.</em>

For your first exercise you'll enumerate the number's positions fromright to lef begining with 0:

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$F*16^{0}=15*1=15\\F*16^{1}=15*16=240$