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Question

Based on your work in the earlier exercise, you could compress text data by encoding A with a shorter code word than B. To do so, you need a variable-length code. For example, consider the code below.

Variable-Length Code I

 Character  Code Word  A 0 E 1 B 10 C 11\begin{array}{|c|c|} \hline \text { Character } & \text { Code Word } \\ \hline \text { A } & 0 \\ \hline \text { E } & 1 \\ \hline \text { B } & 10 \\ \hline \text { C } & 11 \\ \hline \end{array}

a. Using this code, encode the message CAB.

b. Using this code, decode the string 0110. Compare your decoding with that of others. Resolve any differences.

c. A code is called uniquely decodable if every encoded message can be decoded to just one unique original message. Do you think this code is uniquely decodable? Why?

Solution

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Answered 2 years ago
Answered 2 years ago
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a.)

Translate each letter into binary strings using the given table.

C11A0B10\begin{aligned} C&\rightarrow11\\ A&\rightarrow0 \\ B&\rightarrow10\\ \end{aligned}

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