Question

Computer Science

Posted 6 months ago

```
Consider a Turing machine whose transition function is partially specified below:
S(q, b) = (a,q',R)
S(q', a) = (a, q, R)
S(q, *) = (b, q' L)
Below are four Turing machine configurations:
q
q
V
2:
1:
abad****
....
abba****
q'
q'
D
II
4:
3:
abaa***
abaab***
The current configuration of a Turing machine is shown in drawing 1. Which drawing shows the configuration of the Turing
machine after two steps?
```

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Answer from Sia

Posted 6 months ago

B

Key Concept

Turing Machine Computation Steps

Explanation

To determine the configuration of a Turing machine after a certain number of steps, we must apply the transition function rules sequentially, starting from the initial configuration. For each step, we consider the current state and the symbol under the head, then apply the corresponding rule from the transition function to determine the next state, the symbol to write, and the direction to move the head. After two steps from the initial configuration in drawing 1, we reach the configuration shown in drawing 2.

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