Show that the binary code C = {0,01,011, 111} is uniquely decodable; how should the receiver react on receiving a sequence starting 0111...1...? Exercise 1.9 Is this also true for the code D = {0, 10, 110, 111}, the reverse of the code C in Exercise 1.8?

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Exercise 1.8
Show that the binary code C = {0, 01,011, 111} is uniquely decodable; how
should the receiver react on receiving a sequence starting 0111...1... ?
Exercise 1.9
Is this also true for the code D = {0, 10, 110, 111}, the reverse of the code
C in Exercise 1.8?
Transcribed Image Text:Exercise 1.8 Show that the binary code C = {0, 01,011, 111} is uniquely decodable; how should the receiver react on receiving a sequence starting 0111...1... ? Exercise 1.9 Is this also true for the code D = {0, 10, 110, 111}, the reverse of the code C in Exercise 1.8?
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1 Solution: 

Yes, the binary code C=0,01,011,111 is unique, but it is not prefix-free.

Only when a binary code is uniquely decodable do codewords with lengths l1,...........li exist.

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