## Related questions with answers

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

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

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

Verifieda.)

Translate each letter into binary strings using the given table.

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

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