Practice Variable Length Encoding - 21.2 | 21. Greedy Algorithms: Huffman Codes | Design & Analysis of Algorithms - Vol 2
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Variable Length Encoding

21.2 - Variable Length Encoding

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is variable length encoding?

💡 Hint: Think about how letters can be represented in a more efficient way.

Question 2 Easy

Define Huffman Codes.

💡 Hint: It’s a solution to reduce the size of encoded messages.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Huffman Coding optimize?

Data speed
Storage space
Data transmission efficiency

💡 Hint: Think about the primary purpose of using Huffman Coding.

Question 2

True or False: In a prefix code, one code can be a prefix of another code.

True
False

💡 Hint: Remember how ambiguity can arise without this property.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a Huffman Tree using the letters A (0.4), B (0.3), C (0.2), D (0.1). Then derive the corresponding binary codes.

💡 Hint: Start by identifying the two letters with the lowest frequencies.

Challenge 2 Hard

Given the probabilities of letters A (0.25), B (0.25), C (0.25), and D (0.25), provide an explanation of how you would use Huffman coding to minimize the length of the encoded message.

💡 Hint: Think about how you would choose to combine nodes when frequencies are equal.

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