Examine the formal definition of a Turing machine to answer the following questions, and explain your reasoning.

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Examine the formal definition of a Turing machine to answer the following questions, and explain your reasoning.

a. Can a Turing machine ever write the blank symbol   on its tape?

b. Can the tape alphabet ???? be the same as the input alphabet ?

c. Can a Turing machine’s head ever be in the same location in two successive steps?

d. Can a Turing machine contain just a single state?

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