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Design a sequential circuit with two D flip-flops A and B and one input X. When X = 0, the state of the circuit remains the same. When X = 1, the circuit goes through the state transitions from 00 to 10 to 11 to 01, back to 00, and then repeats.

Design a sequential circuit with two D flip-flops A and B and one input X. When X = 0, the state of the circuit remains the same. When X = 1, the circuit goes through the state transitions from 00 to 10 to 11 to 01, back to 00, and then repeats.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Design a sequential circuit with two D flip-flops A and B and one input X. When X = 0, the state of the circuit remains the same. When X = 1, the circuit goes through the state transitions from 00 to 10 to 11 to 01, back to 00, and then repeats.

### State Transition Diagram for a Finite State Machine This diagram represents a finite state machine with six states: A, B, C, D, E, and F. Each state is represented by a circle, and transitions between states are indicated by arrows. The transitions are labeled with input and output values formatted as "Input/Output". #### States and Transitions: - **State A:** - On input `0`, transition to State B with output `0`. - On input `1`, transition to State C with output `0`. - **State B:** - On input `0`, stay in State B with output `0`. - On input `1`, transition to State D with output `0`. - **State C:** - On input `0`, transition to State E with output `0`. - On input `1`, stay in State C with output `1`. - **State D:** - On input `0`, transition to State A with output `0`. - On input `1`, transition to State F with output `0`. - **State E:** - On input `0`, transition to State F with output `1`. - On input `1`, transition to State C with output `1`. - **State F:** - On input `0`, transition to State E with output `1`. - On input `1`, stay in State F with output `1`. #### Additional Information: - There is a **Reset** signal that resets the machine to the initial state, State A. - The diagram is used to represent how the system reacts to different inputs, producing specific outputs while transitioning between states. - This is typically useful in digital circuit designs and computational models to predict system behaviors. This diagram is essential for understanding how inputs affect state transitions and the resulting outputs, crucial for designing and analyzing sequential logic systems.
Transcribed Image Text:### State Transition Diagram for a Finite State Machine This diagram represents a finite state machine with six states: A, B, C, D, E, and F. Each state is represented by a circle, and transitions between states are indicated by arrows. The transitions are labeled with input and output values formatted as "Input/Output". #### States and Transitions: - **State A:** - On input `0`, transition to State B with output `0`. - On input `1`, transition to State C with output `0`. - **State B:** - On input `0`, stay in State B with output `0`. - On input `1`, transition to State D with output `0`. - **State C:** - On input `0`, transition to State E with output `0`. - On input `1`, stay in State C with output `1`. - **State D:** - On input `0`, transition to State A with output `0`. - On input `1`, transition to State F with output `0`. - **State E:** - On input `0`, transition to State F with output `1`. - On input `1`, transition to State C with output `1`. - **State F:** - On input `0`, transition to State E with output `1`. - On input `1`, stay in State F with output `1`. #### Additional Information: - There is a **Reset** signal that resets the machine to the initial state, State A. - The diagram is used to represent how the system reacts to different inputs, producing specific outputs while transitioning between states. - This is typically useful in digital circuit designs and computational models to predict system behaviors. This diagram is essential for understanding how inputs affect state transitions and the resulting outputs, crucial for designing and analyzing sequential logic systems.
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