GATE EC 2020 Set 1 — Question 49
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Digital Circuits → Sequential Logic → Sequence Detectors
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Question
The state diagram of a sequence detector is shown below. State is the initial state of the sequence detector. If the output is 1, then

Correct answer
(A) the sequence 01010 is detected.
Solution
To find the detected sequence, we trace the path from the initial state to the transition that produces an output of 1.
- From , input 0 leads to (output 0).
- From , input 1 leads to (output 0).
- From , input 0 leads to (output 0).
- From , input 1 leads to (output 0).
- From , input 0 leads back to with an output of 1.
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