. Design an FSM over the alphabet (0, 1) that accepts strings that do NOT have 111 as a substring. For example: 1011 and 000110 will be accepted but 011100 and 111101 will not.
. Design an FSM over the alphabet (0, 1) that accepts strings that do NOT have 111 as a substring. For example: 1011 and 000110 will be accepted but 011100 and 111101 will not.
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Transcribed Image Text:**Problem Statement:**
Design a Finite State Machine (FSM) over the alphabet {0, 1} that accepts strings which do **not** have "111" as a substring. For example, the strings "1011" and "000110" will be accepted, but "011100" and "111101" will not.
**Explanation:**
- The aim is to construct an FSM that processes binary strings and accepts only those that do not contain the sequence "111".
- The FSM should transition through states based on input symbols (0 or 1) and reach an accept state if the forbidden pattern does not occur.
- By definition, the FSM must halt in a non-accept state if "111" is encountered at any point while reading the input.
**Examples:**
- **Accepted Strings:** "1011", "000110"
- **Rejected Strings:** "011100", "111101"
Design your FSM with these rules in mind, and consider using a state diagram to represent transitions between states.
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