Question

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
(A) fdheg
(B) ecgdf
(C) dchfg
(D) fehdg

Answer 1

The sequence of characters corresponding to the given code is fdheg.

Step-by-step explanation:

The characters a to h have frequencies based on the first 8 Fibonacci numbers. The Huffman code is used to represent the characters.

Given the code 110111100111010, we can decode it using the frequencies of the characters.

The code can be split into the following sequences based on the prefix rule of Huffman coding: 1, 10, 11, 010, 111, 001, 1100, 1111, 010.

Matching these sequences with the corresponding characters, the resulting sequence is fdheg.

Therefore, the answer is (A) fdheg.