The characters a to h have the set of frequencies based on the first 8…

2006

The characters a to h have the set of frequencies based on the first 8 Fibonacci numbers as follows

a : 1, b : 1, c : 2, d : 3, e : 5, f : 8, g : 13, h : 21/

A Huffman code is used to represent the characters. What is the sequence of characters corresponding to the following code? 110111100111010

Answer: A. fdhegSolution summary: decode the bit string using the Huffman codes formed from the given frequencies. Step 1 — Build Huffman codes: h: 0 g: 10 f: 110 e: 1110 d:…

  1. A.

    fdheg

  2. B.

    ecgdf

  3. C.

    dchfg

  4. D.

    fehdg

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Correct answer: A

Solution summary: decode the bit string using the Huffman codes formed from the given frequencies.

Step 1 — Build Huffman codes:

  • h: 0

  • g: 10

  • f: 110

  • e: 1110

  • d: 11110

  • c: 111110

  • a: 1111110

  • b: 1111111

Step 2 — Decode the bit string 110111100111010 by matching prefixes (left to right):

  1. 110 → f

  2. 11110 → d

  3. 0 → h

  4. 1110 → e

  5. 10 → g

Final decoded sequence: fdheg

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