Practice Merging Frequencies (22.2.1) - Introduction to Recursive Solutions and Huffman Coding

Practice: Merging Frequencies

Lesson 22.2.1Introduction to Recursive Solutions and Huffman Coding

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9 questions

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6 sample questions

Question 1.
What happens when two characters with the least frequency are merged?
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Think about the process of combining numbers together.
Question 2.
What character encoding is assigned to the last two remaining letters?
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What binary code would you use for two choices?
3Question 3.
What is the first step in Huffman coding?
- Merge the highest frequencies
- Merge the lowest frequencies
- Assign binary codes directly
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Remember the strategy is to minimize representation.
4Question 4.
True or False: Huffman coding guarantees optimal encoding for any dataset.
- True
- False
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Think about the fundamental principle of this coding method.
Question 5.
Given the following frequencies, construct a Huffman tree and determine the codes: X(0.05), Y(0.15), Z(0.25), W(0.55).
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Start with the two lowest frequencies.
Question 6.
Explain why alternative merging strategies lead to sub-optimal trees compared to Huffman’s method.
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Consider trade-offs of choosing higher frequencies early.

5 more questions in this section. Enroll free to practise them all.