Do the Hamming codes embedded in each of the the following messages detect any error? Note that all errors are single-bit; Hamming cannot detect multi-bit errors reliably.

1. 
   

   1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22
   1	0	0	1	1	0	0	0	0	1	1	1	0	0	0	1	0	1	1	0	0	1

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2. 
   

   1	2	3	4	5	6	7	8	9	10	11
   0	1	1	1	0	1	0	0	1	1	0

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3. 
   

   1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
   1	1	1	1	1	0	0	1	1	0	0	1	0	0	1

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4. 
   

   1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
   0	1	0	1	1	0	0	1	0	1	1	0	1	0	0	0	0

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5. 
   

   1	2	3	4	5	6	7	8	9	10	11	12	13
   1	1	0	1	0	0	1	1	0	1	1	0	1

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6. 
   

   1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
   1	1	1	1	0	0	1	0	0	1	0	1	0	1	0	1	1	1	0	1

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