### Educational Content#### State Machine Analysis**Objective:**Analyze the state machine presented above (Figure X9.4), focusing on deriving the excitation equations, excitation/transition table, and state/output table. Utilize state names A–D for Q1 Q2 = 00–11.**Figure Description:**Figure X9.4 shows a sequential logic circuit, featuring two D flip-flops, labeled as Q1 and Q2. These flip-flops store and process input based on a clock signal (CLK). The circuit includes combinational logic involving logical gates that define the state transitions.**Components:**1. **D Flip-Flops** (Q1 and Q2): Each flip-flop has a data input (D) and a clock input (CLK). The output Q represents the stored bit.2. **Logic Gates**: The circuit contains AND and OR gates used to determine inputs to the flip-flops and the output Z.**Inputs/Outputs:**- **X**: Main input to the circuit.- **Z**: Primary output determined by both the state of the flip-flops and input X.- **CLK**: Clock signal synchronizing changes in the state of the flip-flops.**Transition Analysis:**1. **Excitation Equations**: Determine the logic expressions needed at the D inputs of each flip-flop (Q1 and Q2) to cause the correct transition between states.2. **Excitation/Transition Table**: Tabulate the possible states (00, 01, 10, 11) and corresponding required inputs to cause transitions between them. The states A–D will represent the binary conditions of Q1 and Q2.3. **State/Output Table**: Define the outputs for each state Q1 Q2, linking the state with output Z.**Analysis Process:**- Use the logic gate connections and flip-flop characteristics to develop Boolean expressions.- Map these to determine the circuit’s behavior across all input conditions.- Plan state transitions accordingly to maintain or alter specific system states.This comprehensive analysis of the state machine will aid in understanding synchronous digital circuits, essential for designing complex logical and computational functionalities.

From given information state names are Q1 Q2 State 0 0 A 0 1 B 1 0 C 1 1 DD flip flop truth table is CLK D Q Q' 0 X Q Q' 1 0 0 1 1 1 1 0 From given figure Z=Q1+ Q2 Output equation similarly Q1t+1=D1=Q1 ·Q2 State equation Q2t+1=D2=X + Q2 State equation From state equations1. if Q1=0 ; Q2=0, X=0thenQ1t+1=Q1 · Q2 =1·0 =0Q2t+1=X + Q2 =0+1 =1Z=Q1t+1+ Q2t+1¯ =0+0 =0 Similarly we can obtain next state and output for different present state and input XExcitation table and state,output table is shown below

Answered: 9.4 Analyze the state machine in Figure…

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Electrical Engineering

9.4 Analyze the state machine in Figure X9.4. Write excitation equations, excitation/transition table, and state/output table (use state names A–D for Q1 Q2 = 00–11). %3D

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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