Question: (6) This question explores Ifsr sequences. (a) Consider the sequence starting 21 = 1, 12 = 0, x3 = 1 and defined by the length

(6) This question explores Ifsr sequences. (a) Consider the sequence starting 21 = 1, 12 = 0, x3 = 1 and defined by the length 3 recurrence In+3 = In + Int1 + In+2 (mod 2). This sequence can also be given by a length 2 recurrence. Determine this length 2 recurrence by setting up and solving the appropriate matrix equa- tions. (b) Suppose we build an LFSR-type machine that works mod 2. It uses a recur- rence of length 2 of the form In+2 = CoUn + CIEn+ +1 (mod 2). to generate the sequence 1, 1, 0, 0, 1, 1, 0, 0. Find co and c1

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