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The Finite state machine described by the following state diagram with A as starting state, where an arc label is x / y and x stands for 1-bit input and y stands for 2- bit output
  • a)
    Outputs the sum of the present and the previous bits of the input.
  • b)
    Outputs 01 whenever the input sequence contains 11.
  • c)
    Outputs 00 whenever the input sequence contains 10.
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The Finite state machine described by the following state diagram with...
We assume the input string to be 1101.

1. (A, 1) –> (B, 01)
Here, previous input bit + present input bit = 0 + 1 = 01 = output

2. (B, 1) –> (C, 10)
Here, previous input bit + present input bit = 1 + 1 = 10 = output

3. (C, 0) –> (A, 01)
Here, previous input bit + present input bit = 1 + 0 = 01 = output

4. (A, 1) –> (B, 01)
Here, previous input bit + present input bit = 0 + 1 = 01 = output

Thus, option (A) is correct.
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The Finite state machine described by the following state diagram with A as starting state, where an arc label is x / y and x stands for 1-bit input and y stands for 2- bit outputa)Outputs the sum of the present and the previous bits of the input.b)Outputs 01 whenever the input sequence contains 11.c)Outputs 00 whenever the input sequence contains 10.d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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