21.7 - Expected Length of the Encoding
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Practice Questions
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What is Huffman coding?
💡 Hint: It involves using shorter codes for more frequent characters.
What does a prefix code ensure?
💡 Hint: Think about how codes might overlap.
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Interactive Quizzes
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What is the purpose of Huffman coding?
💡 Hint: Think about how efficiency can be enhanced using frequency.
True or False: In a prefix code, one code can be a prefix of another.
💡 Hint: Consider what happens during decoding.
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Challenge Problems
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Assume we need to encode the letters 'A', 'B', 'C', 'D', 'E' with frequencies 0.4, 0.3, 0.2, 0.1. Create the Huffman tree, and derive the encoding for each character.
💡 Hint: Start by pairing the lowest frequencies and build upwards.
What would happen if we allow one of the codes in a Huffman tree to be the prefix of another? Discuss the implications for encoding and decoding.
💡 Hint: Think about how this overlaps during the decoding process.
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