Question: 8. The Hamming (7,4) code is used for a channel prone to erasures but not errors. If ?0?0111 is received what was the transmitted word?

8. The Hamming (7,4) code is used for a channel prone to erasures but not errors. If ?0?0111 is received what was the transmitted word?

Show that if ??11001 is received, the 'no errors' assumption cannot be valid. Can the correct word be recovered if the assumption is amended to 'at most one error in the recognizable bits'?

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