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Please explain the steps with the unencoded to encoded state transition table, unencoded to encoded output table, state encodings, next state equations, output equations and draw the schematic. (see attached)

Please explain the steps with the unencoded to encoded state transition table, unencoded to encoded output table, state encodings, next state equations, output equations and draw the schematic. (see attached)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Please explain the steps with the unencoded to encoded state transition table, unencoded to encoded output table, state encodings, next state equations, output equations and draw the schematic.

(see attached)

**Designing an FSM for a Modulo 8 Counter (3-bit Counter)** A Finite State Machine (FSM) is required to implement a modulo 8 counter, which is effectively a 3-bit counter. This FSM will output the sequence: 000, 001, 010, 011, 100, 101, 110, 111, and then repeat indefinitely. **Initial Setup:** - Upon reset, the FSM should start by outputting 000. - Ensure all design steps are thoroughly documented, including: **1. State Transition Diagram:** - Illustrate transitions between each state (000 to 111) in a circular fashion, indicating progression through the binary count sequence. **2. State Transition Table:** - This table will map each current state to the next state. | Current State | Next State | |---------------|------------| | 000 | 001 | | 001 | 010 | | 010 | 011 | | 011 | 100 | | 100 | 101 | | 101 | 110 | | 110 | 111 | | 111 | 000 | **3. Output Table:** - Each state directly correlates with its output, matching the binary number it represents. **4. State Encodings:** - Each state can be encoded as binary values directly reflecting the counter outputs. **5. Next State and Output Equations:** - Formulate equations that describe the transition from one state to the next based on current inputs and states. **6. Circuit Schematic:** - Design a logic circuit to implement the FSM, including flip-flops for state retention and combinatorial logic for state transitions. This FSM will ensure efficient counting and cyclic progression through the sequence 000 to 111, allowing for easy integration into digital systems requiring modulo 8 counting capabilities.
Transcribed Image Text:**Designing an FSM for a Modulo 8 Counter (3-bit Counter)** A Finite State Machine (FSM) is required to implement a modulo 8 counter, which is effectively a 3-bit counter. This FSM will output the sequence: 000, 001, 010, 011, 100, 101, 110, 111, and then repeat indefinitely. **Initial Setup:** - Upon reset, the FSM should start by outputting 000. - Ensure all design steps are thoroughly documented, including: **1. State Transition Diagram:** - Illustrate transitions between each state (000 to 111) in a circular fashion, indicating progression through the binary count sequence. **2. State Transition Table:** - This table will map each current state to the next state. | Current State | Next State | |---------------|------------| | 000 | 001 | | 001 | 010 | | 010 | 011 | | 011 | 100 | | 100 | 101 | | 101 | 110 | | 110 | 111 | | 111 | 000 | **3. Output Table:** - Each state directly correlates with its output, matching the binary number it represents. **4. State Encodings:** - Each state can be encoded as binary values directly reflecting the counter outputs. **5. Next State and Output Equations:** - Formulate equations that describe the transition from one state to the next based on current inputs and states. **6. Circuit Schematic:** - Design a logic circuit to implement the FSM, including flip-flops for state retention and combinatorial logic for state transitions. This FSM will ensure efficient counting and cyclic progression through the sequence 000 to 111, allowing for easy integration into digital systems requiring modulo 8 counting capabilities.
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