Practice Proof Of Optimality (22.3) - Introduction to Recursive Solutions and Huffman Coding

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6 sample questions

Question 1.
What is Huffman coding?
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Think about the role of character frequency in creating codes.
Question 2.
Why are prefix codes important?
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What would happen if two codes began the same way?
3Question 3.
What does Huffman's algorithm aim to achieve?
- Maximal coding length
- Optimal coding based on frequency
- Random coding
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Recall the goal behind character encoding.
4Question 4.
True or False: Huffman coding uses a greedy approach.
- True
- False
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Consider how the algorithm chooses elements.
Question 5.
Design a Huffman tree for the frequencies A: 0.15, B: 0.25, C: 0.35, D: 0.25.
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Keep merging the smallest nodes, tracking frequencies through each step.
Question 6.
Using induction, explain why merging the two smallest frequencies will always yield an optimal Huffman tree.
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Reflect on the properties of frequency distribution in your explanation.

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