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Entropy of a discrete random variable with possible values $\{x_1, x_2, \dots , x_n\}$ and probability density function $P(X)$ is

$H(X) = \: –  \sum\limits_{i=1}^{n}P(x_i) \log _bP(x_i)$

The value of $b$ gives the units of entropy. The unit for $b=10$ is

  1. bits
  2. bann
  3. nats
  4. deca
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