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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 101 patterns.

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 101 patterns.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 101 patterns. 

 

Image #1 is a State-Assigned table.

Image #2 is an incomplete state diagram that could be used to start and develop and complete the state diagram and state table.

This is a flowchart representation illustrating a sequence of states in a state machine or a similar conceptual model. The diagram consists of four sequential states, represented as circles, connected by arrows indicating the direction of flow from one state to the next. 1. **State A/200**: - This is the initial state, signified by the incoming arrow labeled "Reset." - The transition from this state occurs when the condition `w=1` is met. 2. **State B/200**: - The system transitions to this state from State A. - The next transition occurs when the condition `w=0` is satisfied. 3. **State C/200**: - Following State B, this is the next state. - The system proceeds to the next state when `w=1`. 4. **State D/Z=1**: - This is the final state shown in the diagram. - Reaching this state indicates the end of the process as depicted. These states and transitions represent a process or a series of conditions that dictate the flow from one state to another, often used in programming, engineering, or systems design to model behavior or workflows.
Transcribed Image Text:This is a flowchart representation illustrating a sequence of states in a state machine or a similar conceptual model. The diagram consists of four sequential states, represented as circles, connected by arrows indicating the direction of flow from one state to the next. 1. **State A/200**: - This is the initial state, signified by the incoming arrow labeled "Reset." - The transition from this state occurs when the condition `w=1` is met. 2. **State B/200**: - The system transitions to this state from State A. - The next transition occurs when the condition `w=0` is satisfied. 3. **State C/200**: - Following State B, this is the next state. - The system proceeds to the next state when `w=1`. 4. **State D/Z=1**: - This is the final state shown in the diagram. - Reaching this state indicates the end of the process as depicted. These states and transitions represent a process or a series of conditions that dictate the flow from one state to another, often used in programming, engineering, or systems design to model behavior or workflows.
**State Transition Table for Sequential Logic Circuit** This table represents the behavior of a sequential logic circuit, detailing its current states, next states, and corresponding outputs. 1. **Present State (y₂y₁):** - Represents the current state of the system using two bits, \( y_2 \) and \( y_1 \). 2. **Next State:** - Determined by the input \( w \), which can be either 0 or 1. - Shows the transition to the new state using two bits, \( Y_2 \) and \( Y_1 \). 3. **Output (z):** - Represents the output of the system based on the present state. --- **Details:** - **Present State 00:** - If \( w = 0 \), transition to next state 10. - If \( w = 1 \), transition to next state 11. - Output \( z = 0 \). - **Present State 01:** - If \( w = 0 \), transition to next state 01. - If \( w = 1 \), transition to next state 00. - Output \( z = 0 \). - **Present State 10:** - If \( w = 0 \), transition to next state 11. - If \( w = 1 \), transition to next state 00. - Output \( z = 0 \). - **Present State 11:** - If \( w = 0 \), transition to next state 10. - If \( w = 1 \), transition to next state 01. - Output \( z = 1 \). This table effectively summarizes how the system progresses from one state to another based on the input, and what output is generated as a result.
Transcribed Image Text:**State Transition Table for Sequential Logic Circuit** This table represents the behavior of a sequential logic circuit, detailing its current states, next states, and corresponding outputs. 1. **Present State (y₂y₁):** - Represents the current state of the system using two bits, \( y_2 \) and \( y_1 \). 2. **Next State:** - Determined by the input \( w \), which can be either 0 or 1. - Shows the transition to the new state using two bits, \( Y_2 \) and \( Y_1 \). 3. **Output (z):** - Represents the output of the system based on the present state. --- **Details:** - **Present State 00:** - If \( w = 0 \), transition to next state 10. - If \( w = 1 \), transition to next state 11. - Output \( z = 0 \). - **Present State 01:** - If \( w = 0 \), transition to next state 01. - If \( w = 1 \), transition to next state 00. - Output \( z = 0 \). - **Present State 10:** - If \( w = 0 \), transition to next state 11. - If \( w = 1 \), transition to next state 00. - Output \( z = 0 \). - **Present State 11:** - If \( w = 0 \), transition to next state 10. - If \( w = 1 \), transition to next state 01. - Output \( z = 1 \). This table effectively summarizes how the system progresses from one state to another based on the input, and what output is generated as a result.
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