A long string consists of the six characters A, B, C, D, E, F, G; they appear with frequency 21%, 11%, 8%, 17%, 5%, 23%, and 15%, respectively.
(a) Draw the Huffman encoding tree of these six characters.
(b) What is the Huffman encoding of these six characters?
(c) If this encoding is applied to a string consisting of one million characters with the given frequencies, what is the length of the encoded string in bits?
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A long string consists of the six characters A, B, C, D, E, F, G; they...
(b.) Huffman code is a way to encode information using variable-length binary strings to represent symbols depending on the frequency of each individual letter. Specifically, letters that appear more frequently can be encoded into strings of shorter lengths, while rarer letters can be turned into longer binary strings. On average, Huffman code is a more efficient way to encode a message as the number of bits in the output string will be shorter than if a fixed-length code was used....
. Huffman Encoding (a.) (6 points) Suppose a certain file contains only the following letters with the corresponding frequencies 1 AİB 73 9 30 44 130 28 16 In a fixed-length encoding scheme, cach character is given a binary representation with the same number of bits. What is the minimum number of bits required to represent each letter of this file under fixed-length encoding scheme? Describe how to encode all seven letters in this file using the number of bits...
Qu 2: [6 Marks) (a) Information to be transmitted over the internet contains the following characters with their associated frequencies as shown in the following table: Character abenos tu Frequency 11 6 14 12 3 132 Use Huffman Code Algorithm to answer the following questions: (i) Build the Huffman code tree for the message. (ii) Use the tree to find the codeword for each character. (iii)If the data consists of only these characters, what is the total number of bits...
*7. a. Construct the Huffman tree for the following characters and frequencies: Character c d g m r z Frequency 28 25 6 20 3 18 b. Find the Huffman codes for these characters.
USING PYTHON PLEASE 5. Consider a text file in which the only characters that appear are the letters "A", "B", "C", and "D" with the distribution 17%, 35%, 26%, and 22%, respectively. (To clarify, this means that 17% of the characters in the file are the letter "A", 35% are the letter "B", etc.) Using the technique demonstrated in class, construct the Huffman tree for this file (and don't forget to label the edges with 0 or 1 such that...
5. Eight letters {A, B, C, D, E, F,G,H} appear in a 100 letter length message with the following frequencies: 22, 6, 13, 19, 2, 9, 25, 4. (a) Use Huffman tree to design an optimal binary prefix code for the letters. (b) What is the average bit length of the message after apply codes designed in (a) to the message? [20 marks]
2. (10 points) Suppose we want to compress a text consisting of 6 characters, a, b, c, d, e, f using the Huffman Algorithm. Give an example for which the algorithm produces at least one codeword of length 5. In other words, you are being asked to give a set of the character frequencies that results in the deepest tree.
An alphabet contains symbols A, B, C, D, E, F. The frequencies of the symbols are 35%, 20%, 15%, 15%, 8%, and 7%, respectively. We know that the Huffman algorithm always outputs an optimal prefix code. However, this code is not always unique (obviously we can, e.g., switch 0’s and 1’s and get a different code - but, for some inputs, there are two optimal prefix codes that are more substantially different). For the purposes of this exercise, we consider...
Design the optimal (Huffman) code for the alphabet {a, b, c, d, e, f, g, h, i, j, k, l}, where frequencies are given in the table below: Draw the appropriate decoding tree. a 0.25 g 0.02 b 0.01 h 0.12 c 0.09 i 0.15 d 0.02 j 0.04 e 0.24 k 0.01 f 0.04 l 0.01
Write a frequency list for A, B,C, D, E, F such that the unique Huffman code for these fre- quencies would correspond to the following tree: B C Write a frequency list for A, B,C, D, E, F such that the unique Huffman code for these fre- quencies would correspond to the following tree: B C