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  1. Huffman coding finds the optimal way to take advantage of varying character frequencies in a particular file. On average, using Huffman coding on standard files can shrink them anywhere from 10% to …

  2. Proof – continued: By the induction hypotheses, the Huffman algorithm gives a Huffman code tree HA that is optimal for A. Let HA0 be the tree obtained by adding x and y as children of z in HA.

  3. The following algorithm, due to Huffman, creates an optimal prefix tree for a given set of char-acters C Æ {ai}. Actually, the Huffman code is optimal among all uniquely readable codes, though we don’t …

  4. Encoding (Generating Huffman Tree) Step 1: Count occurrences of each character We do this for you! We give you an array where each index is an ascii character, the value is the number of occurrences

  5. Huffman Coding Walkthrough Huffman coding is used to compress data. It is used by ZIP files, among many other things. The overall process is as follows: Calculate the frequency of each character in the …

  6. To begin generating the Huffman tree, each character gets a weight equal to the number of times it occurs in the file. For example, in the "happy hip hop" example, the character 'p' has weight 4, 'h' has …

  7. We can encode 25 different symbols using a fixed length of 5 bits per symbol. This is called fixed length encoding. Q. Some symbols (e, t, a, o, i, n) are used far more often than others. How can we use this …