Design a Moore FSM that produces an output of 1 if it detects "101." There is an additional input, nov/ov, that determines whether the FSM detects non-overlapping sequences (nov/ov = 0) or overlapping sequences (nov/ov = 1). 1. Design the FSM state diagram. 2. Write the FSM state table for your system. 3. Write the FSM state assignment table for your system. 4. Determine the logic expressions for a D flip- flop implementation (you do not need to draw the logic network).

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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**Design a Moore FSM for Sequence Detection**

When designing a Moore Finite State Machine (FSM) to detect the sequence "101," you will encounter an essential feature to consider — whether the FSM should handle non-overlapping or overlapping sequences. An additional input, *nov/ov*, determines this behavior:

- **Non-overlapping sequences**: *nov/ov* = 0
- **Overlapping sequences**: *nov/ov* = 1

**Tasks:**

1. **Design the FSM state diagram.**
   - Create a visual representation of states and transitions for the FSM that accurately detects the sequence "101" based on the specified type (overlapping or non-overlapping).

2. **Write the FSM state table for your system.**
   - Develop a table that lists all states, inputs, next states, and outputs for the FSM.

3. **Write the FSM state assignment table for your system.**
   - Assign binary codes to each state, which will be useful for implementing the FSM with digital logic.

4. **Determine the logic expressions for a D flip-flop implementation.**
   - Calculate the logic necessary for each flip-flop that will help store the state of the FSM. You are not required to draw the logic circuit but provide the expressions. 

This design effectively distinguishes between sequences where the detection includes pure sequences and those where the sequences overlap, offering a comprehensive understanding of sequence detection.
Transcribed Image Text:**Design a Moore FSM for Sequence Detection** When designing a Moore Finite State Machine (FSM) to detect the sequence "101," you will encounter an essential feature to consider — whether the FSM should handle non-overlapping or overlapping sequences. An additional input, *nov/ov*, determines this behavior: - **Non-overlapping sequences**: *nov/ov* = 0 - **Overlapping sequences**: *nov/ov* = 1 **Tasks:** 1. **Design the FSM state diagram.** - Create a visual representation of states and transitions for the FSM that accurately detects the sequence "101" based on the specified type (overlapping or non-overlapping). 2. **Write the FSM state table for your system.** - Develop a table that lists all states, inputs, next states, and outputs for the FSM. 3. **Write the FSM state assignment table for your system.** - Assign binary codes to each state, which will be useful for implementing the FSM with digital logic. 4. **Determine the logic expressions for a D flip-flop implementation.** - Calculate the logic necessary for each flip-flop that will help store the state of the FSM. You are not required to draw the logic circuit but provide the expressions. This design effectively distinguishes between sequences where the detection includes pure sequences and those where the sequences overlap, offering a comprehensive understanding of sequence detection.
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