A discrete memory less source has two symbols x1 and x2 with probabilities p(x1) and p(x2) respectively, then the entropy of the source H(X) is

H(X) = -p(x1)log2p(x1) - p(x2)log2p (x2)

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This question belongs to Electronics And Communications Engineering Information Theory And Coding

Information Theory and Coding

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A discrete memory less source has two symbols x₁ and x₂ with probabilities p(x₁) and p(x₂) respectively, then the entropy of the source H(X) is

A) H(X) = p(x₁)log₁₀p(x₁) + p(x₂)log₁₀p(x₂) B) H(X) = -p(x₁)log₁₀p(x₁) - p(x₂)log₁₀p(x₂) C) H(X) = -p(x₁)log₂p(x₁) - p(x₂)log₂p (x₂) D) H(X) = p(x₁)log₂p(x₁) + p(x₂)log₂p(x₂)

Answer & Solution

Correct Answer: Option C

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