You have to communicate a signal in a language that has 3 symbols a, b and c. the probability of observing a is 50% while that of observing b and c is 25% each. design an appropriate encoding for this language. what is the entropy of this signal in bits?

Huffman code is use for encoding the language. The entropy when calculated is 1.5.

Explanation:

Using Huffman Coding scheme to encode:

The huffman coding scheme is described in the attachment.

To find entropy; we use the formula given below:

H = ∑

where H = Entropy and p = probability

p(A) = 50% = 1/2

p(B) = 25% = 1/4

p(C) = 25% = 1/4

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