22.2. Example of Huffman Coding

Try these first

1. 1.

   What is the first step in Huffman coding?

   Hint

   Look for the smallest values in the frequency table.

2. 2.

   What does a composite letter represent?

   Hint

   Think about how frequencies combine in Huffman coding.

3. 3.

   In Huffman coding, what is the first step?

   • Select the highest frequency
   • Select the two lowest frequencies
   • Merge all frequencies together

   Hint

   Think about how to minimize the encoding length.

4. 4.

   True or False: Huffman coding guarantees optimal encoding for any set of frequencies.

   • True
   • False

   Hint

   Recall the method's effectiveness in reducing overall size.

5. 5.

   Given a character set with a range of frequencies, design a Huffman tree and encode the characters. Use frequencies A=0.12, B=0.22, C=0.38, D=0.08.

   Hint

   Remember to track your frequencies carefully at every merging step.

6. 6.

   Explain how changing frequencies affects Huffman coding. For instance, what if frequency D was reduced to 0.04 instead of 0.08?

   Hint

   Think about how the minimum values shift with different frequencies.