Question

Assume the relative frequencies are:

A: 40
B: 20
C: 10
D: 10
R: 20

Apply Huffman coding?

a) 00, 01, 10, 110, 111
b) 0, 10, 110, 1110, 1111
c) 0, 10, 110, 1110, 1111
d) 00, 01, 10, 110, 1111

Answer 1

Huffman coding is a method used to compress data by assigning shorter codes to more frequently occurring characters. To apply Huffman coding, we start by sorting the characters in descending order of their frequencies and creating a binary tree. The correct answer is option a) 00, 01, 10, 110, 111.

Step-by-step explanation:

Huffman coding is a method used to compress data by assigning shorter codes to more frequently occurring characters. To apply Huffman coding, we start by sorting the characters in descending order of their frequencies. We then create a binary tree where each character is represented by a leaf node, and the frequency of the character is assigned to the corresponding node. Next, we repeatedly merge the two nodes with the lowest frequencies until we have a single tree. Finally, we assign '0' to the left branch and '1' to the right branch of each node in the tree, creating the Huffman codes. In this case, the correct answer is option a) 00, 01, 10, 110, 111, as it represents the codes for each character based on their relative frequencies.