1. Construct a state diagram for the following sequence detector. The finite-state machine (FSM) has a 1-bit input v and 1-bit output g. For each 4-bit input sequence, the output is 0 for the first three bits, then 1 on the fourth bit if the 4-bit sequence matches one of the binary strings 0000, 0011, or 011. This is a Mealy-type FSM. The machine returns to the reset state after each 4-bit sequence. Note that the input patterns do not overlap.

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# Construct a State Diagram for a Sequence Detector

## Overview
The finite-state machine (FSM) described here is a Mealy-type FSM with a 1-bit input (v) and a 1-bit output (g). It is designed to recognize specific 4-bit input sequences and produce a corresponding output.

## Functionality
- For each 4-bit input sequence, the FSM outputs 0 for the first three bits.
- The output becomes 1 on the fourth bit if the 4-bit sequence matches one of the following binary strings: 0000, 0011, or 0111.
- After processing each 4-bit sequence, the machine returns to the reset state.
- The input patterns do not overlap, ensuring discrete sequence detection.

**Sample Behavior Explanation:**
- To enhance readability, spaces are inserted between each 4-bit input sequence in example demonstrations. This helps visualize the FSM's operations clearly.

## Application
Constructing the state diagram involves identifying states and transitions based on input conditions, matching the specified conditions for binary sequences, and illustrating how the FSM resets.
Transcribed Image Text:# Construct a State Diagram for a Sequence Detector ## Overview The finite-state machine (FSM) described here is a Mealy-type FSM with a 1-bit input (v) and a 1-bit output (g). It is designed to recognize specific 4-bit input sequences and produce a corresponding output. ## Functionality - For each 4-bit input sequence, the FSM outputs 0 for the first three bits. - The output becomes 1 on the fourth bit if the 4-bit sequence matches one of the following binary strings: 0000, 0011, or 0111. - After processing each 4-bit sequence, the machine returns to the reset state. - The input patterns do not overlap, ensuring discrete sequence detection. **Sample Behavior Explanation:** - To enhance readability, spaces are inserted between each 4-bit input sequence in example demonstrations. This helps visualize the FSM's operations clearly. ## Application Constructing the state diagram involves identifying states and transitions based on input conditions, matching the specified conditions for binary sequences, and illustrating how the FSM resets.
**Step 2: State Reduction in Finite State Machines (FSM)**

Objective: Minimize the number of states in your Finite State Machine (FSM) and develop the corresponding reduced state table.

In this step, you will focus on identifying and merging equivalent states to simplify your FSM. By reducing the number of states, you optimize the FSM for more efficient processing and resource usage. Once the states are minimized, construct the new, reduced state table that accurately represents the streamlined FSM configuration.
Transcribed Image Text:**Step 2: State Reduction in Finite State Machines (FSM)** Objective: Minimize the number of states in your Finite State Machine (FSM) and develop the corresponding reduced state table. In this step, you will focus on identifying and merging equivalent states to simplify your FSM. By reducing the number of states, you optimize the FSM for more efficient processing and resource usage. Once the states are minimized, construct the new, reduced state table that accurately represents the streamlined FSM configuration.
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