Paper turingmachine exercises
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Exercises - how to build paper Turing machines that can do this or that.
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Paper turingmachine exercises
- 1. Symbols on the tape Add 1 (in unary) A if write move jumpTo A if write move jumpTo F Paper Turing Machine ( Andrea Valente Program www.create.aau.dk/av of the Turing Machine av@create.aau.dk )
- 2. Input is 2 in unary: II A A A A if write move jumpTo A FINISH if write Output is 3 in unary: III time move jumpTo F
- 3. Subtract 1 (in unary) Fold Go Erase if write if write move move jumpTo Go jumpTo F if write move jumpTo Erase TASK Test this machine on the input 3 (in unary)
- 4. Invert and Inv if write move jumpTo Inv if write move jumpTo Inv if write move jumpTo F Consider: input = 1101 in binary, output = 0010
- 5. Is a unary number even? Input = 3 ---> output = No, not even Input = 2 ---> output = Yes, it is even! A A B B A A Y B F N TASK Design and test a TM for this F problem.
- 6. Check if this property is true: “the second symbol is ” A ... Y FINISH
- 7. Addition in unary Design a Turing Machine that can add 2 unary numbers. Test it: on input 2 and 1, the output should be 3. A ... FINISH
- 8. Palindromes | semordnilaP Design a TM that decides if the tape contains a palindrom sequence. Test it on input . A ... Y FINISH
- 9. if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo if write if write if write if write move move move move jumpTo jumpTo jumpTo jumpTo
- 10.