Let T be the following deterministic Turing machine with input alphabet
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Let T be the following deterministic Turing machine with input alphabet

Q 10. Let T be the following deterministic Turing machine with input alphabet Σ = {0, 1} and tape alphabet Γ = {0, 1, }. This machine halts on all inputs.


(a) Show how this machine processes the words 10 and 001.

(b) What string will be written on the tape after T processes an input of 101010?

(c) Briefly describe in words what T does. Does T run in polynomial time? If so, give the smallest k ∈ N such that t(n) ∈ O(n k ). Justify your answers.

Hint
ComputerA Deterministic Turing Machine (DTM) is a sextuple (Q, Σ, Γ, δ, q0, qf) where: Q is a finite set of states. Σ is the input alphabet. Γ is the tape alphabet, Σ ⊆ Γ. There are two kinds of Turing Machine: Definition 2.3 Deterministic Turing Machine: A Turing machine is deterministic if there's only one possible action each step. Definition 2.4 Nondeterministic Turing Machine: A Turing machin...

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