Fixed-Length Code Words in Information Theory
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Questions and Answers

What is the number of possible messages obtained for three throws of a fair die?

  • 216 (correct)
  • 8
  • 36
  • 6
  • How many bits per message are required for a source with three equally probable symbols?

  • 2 bits/message
  • 3 bits/message
  • 6 bits/message
  • 8 bits/message (correct)
  • What property is required from any variable-length code to ensure unique decodability?

  • Equal probabilities
  • Variable-length code words
  • Prefix-free codes (correct)
  • Variable symbols
  • What happens if the source decoder observes '01' in a non-uniquely decodable code system?

    <p>It cannot determine the emitted source</p> Signup and view all the answers

    What is a fundamental property of a prefix code in coding systems?

    <p>No code word is a prefix of another</p> Signup and view all the answers

    What is the total number of messages possible when three fair dice are thrown with all outcomes being equally probable?

    <p>216</p> Signup and view all the answers

    In the context of variable-length code words, what property is essential to ensure that the code is easily decodable?

    <p>Prefix-free property</p> Signup and view all the answers

    What is the number of bits required per message for a source with three symbols if each symbol has a different probability of occurrence?

    <p>8 bits</p> Signup and view all the answers

    Which property distinguishes a prefix code within coding systems?

    <p>Unique decodability</p> Signup and view all the answers

    For a source with variable-length code words, what characteristic is crucial to avoid ambiguity during decoding?

    <p>Prefix-free property</p> Signup and view all the answers

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