A networking company uses a compression technique to encode the message before transmitting over the network. Suppose the message contains the following characters with their frequency:
C
character Frequency
a 5
b 9
c 12
d 13
e 16
f 45
|
Note : Each character in input message takes 1 byte. If the compression technique used is Huffman Coding, how many bits will be saved in the message?
(A)
224
(B)
800
(C)
576
(D)
324
Answer: (C)
Explanation:
Total number of characters in the message = 100.
Each character takes 1 byte. So total number of bits needed = 800.
After Huffman Coding, the characters can be represented with:
f: 0
c: 100
d: 101
a: 1100
b: 1101
e: 111
Total number of bits needed = 224
Hence, number of bits saved = 800 - 224 = 576
See here for complete explanation and algorithm.
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Last Updated :
28 Jun, 2021
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