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Problem 2: For the circuit in Figure 2, please finish the state transition table (Table 1). X ba D 91 D 92 9₁ 92 Clock Current state output 9192 00 01 10 11 X = 1 Figure 2 Next state X = 0 Table 1 N Z

Problem 2: For the circuit in Figure 2, please finish the state transition table (Table 1). X ba D 91 D 92 9₁ 92 Clock Current state output 9192 00 01 10 11 X = 1 Figure 2 Next state X = 0 Table 1 N Z

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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### Problem 2: State Transition Table Completion #### Description: For the given digital circuit shown in Figure 2, your task is to complete the state transition table (Table 1). #### Figure 2: Figure 2 depicts a sequential circuit comprising of logic gates and flip-flops. The circuit diagram includes logic gates (AND, OR) and D flip-flops (denoted as D). The inputs to the circuit include a clock signal and an input signal \( x \). The outputs from the flip-flops are represented as \( q_1 \) and \( q_2 \), which feed back into the circuit, influencing the next state of the system. - The two input AND gates combine the signals \( x \) and \( \bar{q_1} \) for the first gate, and \( q_2 \) and \( x \) for the second gate. - The OR gate combines the outputs of the AND gates. - The combined output from the OR gate is fed into the input (D) of the first flip-flop. - The output \( q_1 \) of this flip-flop is then fed into another AND gate along with the original input signal \( x \). - The second flip-flop receives the output from this gate at its input \( D \). The logic and feedback create a system with memory that changes state based on input \( x \) and the current states \( q_1 \) and \( q_2 \). #### Table 1: State Transition Table This table outlines how the current state transitions to the next state based on the input \( x \), and also provides the corresponding output \( z \). | Current state (\( q_1 q_2 \)) | Next state (\( x = 1 \)) | Next state (\( x = 0 \)) | Output (\( z \)) | |-------------------------------|-------------------------|-------------------------|------------------| | 00 | | | | | 01 | | | | | 10 | | | | | 11 | | | | ### Instructions: Complete the table by deriving the next state values and output for each possible current state and input \( x \) combination. --- #### Educational Notes: - **Flip-flops** are basic memory elements in sequential logic which store the state information. - **State transition tables**
Transcribed Image Text:### Problem 2: State Transition Table Completion #### Description: For the given digital circuit shown in Figure 2, your task is to complete the state transition table (Table 1). #### Figure 2: Figure 2 depicts a sequential circuit comprising of logic gates and flip-flops. The circuit diagram includes logic gates (AND, OR) and D flip-flops (denoted as D). The inputs to the circuit include a clock signal and an input signal \( x \). The outputs from the flip-flops are represented as \( q_1 \) and \( q_2 \), which feed back into the circuit, influencing the next state of the system. - The two input AND gates combine the signals \( x \) and \( \bar{q_1} \) for the first gate, and \( q_2 \) and \( x \) for the second gate. - The OR gate combines the outputs of the AND gates. - The combined output from the OR gate is fed into the input (D) of the first flip-flop. - The output \( q_1 \) of this flip-flop is then fed into another AND gate along with the original input signal \( x \). - The second flip-flop receives the output from this gate at its input \( D \). The logic and feedback create a system with memory that changes state based on input \( x \) and the current states \( q_1 \) and \( q_2 \). #### Table 1: State Transition Table This table outlines how the current state transitions to the next state based on the input \( x \), and also provides the corresponding output \( z \). | Current state (\( q_1 q_2 \)) | Next state (\( x = 1 \)) | Next state (\( x = 0 \)) | Output (\( z \)) | |-------------------------------|-------------------------|-------------------------|------------------| | 00 | | | | | 01 | | | | | 10 | | | | | 11 | | | | ### Instructions: Complete the table by deriving the next state values and output for each possible current state and input \( x \) combination. --- #### Educational Notes: - **Flip-flops** are basic memory elements in sequential logic which store the state information. - **State transition tables**
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