22.6.1 - Shannon and Fano's Contributions
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Practice Questions
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What is the primary goal of Shannon and Fano's contributions to information theory?
💡 Hint: Think about how information is processed and transmitted.
Define optimal encoding in your own words.
💡 Hint: Consider what makes encoding efficient.
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Interactive Quizzes
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What is the main strategy employed by Shannon and Fano in encoding?
💡 Hint: Focus on how optimal coding is achieved.
Huffman coding is considered a greedy algorithm. True or False?
💡 Hint: Consider the characteristics of greedy algorithms.
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Challenge Problems
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Given characters A, B, C, and D with frequencies 0.4, 0.3, 0.2, and 0.1 respectively, demonstrate how to create a Huffman tree and identify the encoding for each character.
💡 Hint: Visualize the character frequencies and how they merge to form the tree structure.
Prove that merging the two smallest frequencies is optimal by providing a counter example where merging does not lead to the optimal average length.
💡 Hint: Analyze encoding lengths for different configurations.
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