Run length encoding of a bit sequence
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(a) Encode the following bit sequence using run-length encoding with 4-bit codes
eighteen zeroes, 11, fifty-six zeroes, 1, fifteen zeroes, 11.
(b) Encode the same sequence using run-length encoding with 5-bit codes
(c) Compare the two codes. Comment on two choices.
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Solution Summary
Solution also discusses two representations for Run Length Encoded sequences and illustrates a scheme to generate the encoded bit sequence with the help of an example.
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In run length encoding (RLE) we normally represent each subsequence of identical symbols by a pair (L,S), where L indicates the length of the subsequence and S indicates the recurring symbol in the sequence. So the encoded sequence will look like -
(L1,S1), (L2,S2), ......, (Ln,Sn)
where two consecutive symbols Si and Si+1 will not be same.
In case of binary sequence, only symbols are 0 and 1. Hence Si will alternate between 0 and 1, which simplifies our RLE sequence to
L1, L2, ...., Ln
However we can't use this simplified representation either in case (a) or ...
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