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The number of states required for ‘101’ sequence detector (overlapping MSB first) using Moore machine is ___________3241

Question

The number of states required for ‘101’ sequence detector (overlapping MSB first) using Moore machine is ___________3241

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Solution

To design a '101' sequence detector using a Moore machine, we need to follow these steps:

  1. Identify the sequence to be detected: Here, it is '101'.

  2. Draw the state diagram: The state diagram will have a state for each bit in the sequence, plus a starting state. For the '101' sequence, we will have 4 states - one starting state (S0), and one for each bit in the sequence (S1, S2, S3).

  3. Define the state transitions: The machine starts in state S0. If a '1' is detected, it moves to state S1. If a '0' is detected in state S1, it moves to state S2. If a '1' is detected in state S2, it moves to state S3, which is the final state indicating the sequence '101' has been detected. If any other input is detected, the machine returns to the appropriate previous state.

  4. Design the state table: The state table will have a row for each state and a column for each possible input. The entries in the table indicate the next state for each combination of current state and input.

  5. Convert the state table to a transition table: The transition table is similar to the state table, but the entries are the outputs for each combination of current state and input, rather than the next state.

  6. Implement the machine: This can be done using flip-flops and logic gates, or it can be implemented in software.

So, the number of states required for ‘101’ sequence detector (overlapping MSB first) using Moore machine is 4.

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