Question
Find the Huffman code for the following set of characters:
| Character | a | b | c | d | e | f |
| Frequency | 50 | 30 | 20 | 12 | 5 | 3 |
Show all the steps of the algorithm. Also compute the number of bits require to encode the data.
Answer :
Word Count : 605
To solve the problem, we will apply Huffman coding to the given set of characters and their frequencies. The goal is to assign binary codes to the characters in such a way that the total number of bits is minimized. Here's how we can proceed step by step: ### Step 1: Sort the characters by frequency We begin by listing the characters along with their frequencies: | Character | a | b | c | d | e | f | |-----------|----|----|----|----|----|----| | Frequency | 50 | 30 | 20 | 12 | 5 | 3 | Sorted in increasing order of frequency: | Character | f | e | d | c | b | a | |-----------|----|----|----|----|----|----| | Frequency ____ ________ ___ _______ ___ _____ ______ _________.
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To solve the problem, we will apply Huffman coding to the given set of characters and their frequencies. The goal is to assign binary codes to the characters in such a way that the total number of bits is minimized. Here's how we can proceed step by step: ### Step 1: Sort the characters by frequency We begin by listing the characters along with their frequencies: | Character | a | b | c | d | e | f | |-----------|----|----|----|----|----|----| | Frequency | 50 | 30 | 20 | 12 | 5 | 3 | Sorted in increasing order of frequency: | Character | f | e | d | c | b | a | |-----------|----|----|----|----|----|----| | Frequency ____ ________ ___ _______ ___ _____ ______ _________.
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