Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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nts) Let C = {c1, c2, · · ·, cm} be
a code which is non-singular but not
uniquely decodable and assume that all
codewords of C end in 1. (a) (10 points)
Let n = maxi=1,2,...,m `i, where `i is the
length of the codeword ci. Prove that
there exists a code C 0 = {c 01, c0 2,...
, CO m) such that i) C O is prefix-free. ii) For
each i = 1, 2, · · ·, m, the codeword ci is a
prefix of the codeword c 0 i . iii)
maxi=1,2,...,m `0i = n, where `0 i is the
length of the codeword c 0 i . (b) (6
points) Let C = {01, 001, 011, 101, 111,
1111). Show that C is non-singular but not
uniquely decodable. Construct the
smallest code (code with shortest
possible codewords) C O such that i) CO
is prefix-free. ii) For each i = 1, 2,..., m,
the codeword ci is a prefix of the
codeword coi.
Transcribed Image Text:nts) Let C = {c1, c2, · · ·, cm} be a code which is non-singular but not uniquely decodable and assume that all codewords of C end in 1. (a) (10 points) Let n = maxi=1,2,...,m `i, where `i is the length of the codeword ci. Prove that there exists a code C 0 = {c 01, c0 2,... , CO m) such that i) C O is prefix-free. ii) For each i = 1, 2, · · ·, m, the codeword ci is a prefix of the codeword c 0 i . iii) maxi=1,2,...,m `0i = n, where `0 i is the length of the codeword c 0 i . (b) (6 points) Let C = {01, 001, 011, 101, 111, 1111). Show that C is non-singular but not uniquely decodable. Construct the smallest code (code with shortest possible codewords) C O such that i) CO is prefix-free. ii) For each i = 1, 2,..., m, the codeword ci is a prefix of the codeword coi.
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