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The statement S1 is true and S2 is false.

The given polynomial is: $x^6+1$

The highest degree of the polynomial is 6

So all the burst errors with Length<=6 will be detected. So

S1:This generator can detect all burst errors with a length of 5 bits: True

S2:This generator can detect some but not all burst errors with a length of 6 bits.is false as all errors of length 6 can be detected..

The given polynomial is: $x^6+1$

The highest degree of the polynomial is 6

So all the burst errors with Length<=6 will be detected. So

S1:This generator can detect all burst errors with a length of 5 bits: True

S2:This generator can detect some but not all burst errors with a length of 6 bits.is false as all errors of length 6 can be detected..