Fixed-Length Code Words in Information Theory

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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?

It cannot determine the emitted source Signup and view all the answers

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

No code word is a prefix of another 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?

216 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?

Prefix-free property 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?

8 bits Signup and view all the answers

Which property distinguishes a prefix code within coding systems?

Unique decodability Signup and view all the answers

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

Prefix-free property Signup and view all the answers

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?

How many bits per message are required for a source with three equally probable symbols?

What property is required from any variable-length code to ensure unique decodability?

What happens if the source decoder observes '01' in a non-uniquely decodable code system?

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

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

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

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

Which property distinguishes a prefix code within coding systems?

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

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