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Unit 8 · Theory of Computation and Compilers Paper 2 CS · December 2022 (Shift 2)

Directions (Q96–100): A Turing machine for L = {aⁿbᵐcⁿdᵐ | n ≥ 1, m ≥ 1} is designed as M = ({q0, …, q7, qf}, {a, b, c, d}, {a, b, c, d, X1, X2, Y1, Y2, B}, δ, q0, B, {qf}). X1 and X2 mark matched a's and c's; Y1 and Y2 mark matched b's and d's. Part of δ is given in the transition table (shown with each question); cells M1–M5 are to be filled.

What is the Move in the cell with the number 'M2' of the resultant Table?

Figure

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Correct answer: D. Error entry

Explanation

q0 is entered just to the right of the last X1, so it never reads an X1. That cell is an error entry.

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