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For questions 3 to 5, remember that a Turing machine starts in state 1, reading the leftmost nonblank cell. Given the Turing machine instruction...

For questions 3 to 5, remember that a Turing machine starts in state 1, reading the leftmost nonblank cell.
1. Given the Turing machine instruction
   (1,1,0,2,L)
   and the configuration
   ... b 1 0 b ... (Tape read head is in state 1, and is over symbol 1 on the left)
   Draw the next configuration.
2. A Turing machine contains only the following instructions:
   (1,1,1,1,R)
   (1,b,1,2,R)
   Can this machine ever reach the following configuration? Explain your answer.
   ... b 0 1 b ... (Tape read head is in state 1, and is over symbol 1 on the left)
  
3. Find the output for the Turing machine
   (1,1,1,2,R)
   (1,0,0,2,R)
   (1,b,1,2,R)
   (2,0,0,2,R)
   (2,1,0,1,R)
   when run on the tape
   ... b 1 0 0 1 b ...
4. Find the output for the Turing machine
   (1,1,1,2,L)
   (2,b,0,3,L)
   (3,b,1,4,R)
   (4,0,1,4,R)
   when run on the tape
   ... b 1 b ...
5. Describe the behavior of the Turing machine
   (1,1,1,1,R)
   (1,0,0,2,L)
   (2,1,0,2,L)
   (2,b,1,3,L)
   (3,b,b,1,R)
   when run on the tape
   ... b 1 0 1 b ...

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