e a state table for a single-input and single-output Moore-type FSM that produces a in the input sequence it detects 101 patterns. (hint: You can start with the incomp liagram given below, and develop a complete state diagram and state table) Reset wEl

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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**Problem 2**

Derive a state table for a single-input and single-output Moore-type FSM that produces an output of 1 if in the input sequence it detects the pattern 101. *(Hint: You can start with the incomplete state diagram given below, and develop a complete state diagram and state table).*

**State Diagram Explanation:**

1. **State A (Output z = 0):**
   - This is the initial/reset state.
   - If input w = 1, the FSM transitions to state B.
   - If input w = 0, the FSM remains in state A.

2. **State B (Output z = 0):**
   - If input w = 0, the FSM transitions to state C.
   - If input w = 1, the FSM goes back to state B.

3. **State C (Output z = 0):**
   - If input w = 1, the FSM transitions to state D.
   - If input w = 0, the FSM remains in state A.

4. **State D (Output z = 1):**
   - This state indicates the detection of the pattern 101.
   - Regardless of the input (w = 1 or w = 0), the FSM should transition back to the appropriate state to continue detecting new patterns.

**Note:** The state diagram is incomplete and needs to be developed into a complete state diagram and a corresponding state table to accurately identify the detection of the desired pattern.
Transcribed Image Text:**Problem 2** Derive a state table for a single-input and single-output Moore-type FSM that produces an output of 1 if in the input sequence it detects the pattern 101. *(Hint: You can start with the incomplete state diagram given below, and develop a complete state diagram and state table).* **State Diagram Explanation:** 1. **State A (Output z = 0):** - This is the initial/reset state. - If input w = 1, the FSM transitions to state B. - If input w = 0, the FSM remains in state A. 2. **State B (Output z = 0):** - If input w = 0, the FSM transitions to state C. - If input w = 1, the FSM goes back to state B. 3. **State C (Output z = 0):** - If input w = 1, the FSM transitions to state D. - If input w = 0, the FSM remains in state A. 4. **State D (Output z = 1):** - This state indicates the detection of the pattern 101. - Regardless of the input (w = 1 or w = 0), the FSM should transition back to the appropriate state to continue detecting new patterns. **Note:** The state diagram is incomplete and needs to be developed into a complete state diagram and a corresponding state table to accurately identify the detection of the desired pattern.
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