**State Diagram and Expressions**Given the following State diagram and State assignments, select the correct expression for \(Y_1^+\) from the choices provided.**State Assignments:**| Y\(_1\) | Y\(_0\) | State ||--------|--------|--------|| 0 | 0 | Up || 0 | 1 | Down || 1 | 0 | Left || 1 | 1 | Right |**Choices for \(Y_1^+\):**1. \[ Y_1^+ = Y_0 \cdot X + Y_1 \cdot Y_0 + Y_1 \cdot Y_0 \cdot X \]2. \[ Y_1^+ = Y_1' \cdot X + Y_1 \cdot Y_0' \]3. \[ Y_1^+ = Y_1' \cdot X' + Y_1 \cdot X' \]4. \[ Y_1^+ = Y_1 \cdot X' + Y_1 \cdot X \]**State Diagram Explanation:**- The state diagram depicts the transitions between four states: Up, Down, Left, and Right, based on the inputs \(X\) and their respective outputs \(Z\).- Each state is represented by an oval and linked with arrows indicating state transitions.- The arrows are labeled with the input/output (X/Z) that causes the transition. **State Transitions:**- **Up State (0/0)**: - \( 0/0 \) transition leads to Up. - \( 1/1 \) transition leads to Right.- **Down State (0/1)**: - \( 0/0 \) transition leads to Down. - \( 1/1 \) transition leads to Left.- **Left State (1/0)**: - \( 0/0 \) transition leads to Left. - \( 1/1 \) transition leads to Up. - **Right State (1/1)**: - \( 0/0 \) transition leads to Right. - \( 1/1 \) transition leads to Down.

According to the question, we need to find the expression for y1+.

Given the following State diagram and State assignments, Select the correct expression for Y,* from the choices provided. Y1 Yo State Up 1 Down 1 Left 1 1 Right O Y1* = Yo . X + Y1.Yo + Y1.Yo. X 0/0 O Y1* = Y1'. X + Y1. Yo' 1/1 O Y1* = Y1' .X '+ Y1.X' Up 1/1 OY1* = Y1. X' + Y1'.X 0/0 0/0 Left 0/0 Right 1/1 1/1 Down

Given the following State diagram and State assignments, Select the correct expression for Y,* from the choices provided. Y1 Yo State Up 1 Down 1 Left 1 1 Right O Y1* = Yo . X + Y1.Yo + Y1.Yo. X 0/0 O Y1* = Y1'. X + Y1. Yo' 1/1 O Y1* = Y1' .X '+ Y1.X' Up 1/1 OY1* = Y1. X' + Y1'.X 0/0 0/0 Left 0/0 Right 1/1 1/1 Down

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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Question

**State Diagram and Expressions**

Given the following State diagram and State assignments, select the correct expression for \(Y_1^+\) from the choices provided.

**State Assignments:**

| Y\(_1\) | Y\(_0\) | State |
|--------|--------|--------|
| 0 | 0 | Up |
| 0 | 1 | Down |
| 1 | 0 | Left |
| 1 | 1 | Right |

**Choices for \(Y_1^+\):**

1. \[
Y_1^+ = Y_0 \cdot X + Y_1 \cdot Y_0 + Y_1 \cdot Y_0 \cdot X
\]

2. \[
Y_1^+ = Y_1' \cdot X + Y_1 \cdot Y_0'
\]

3. \[
Y_1^+ = Y_1' \cdot X' + Y_1 \cdot X'
\]

4. \[
Y_1^+ = Y_1 \cdot X' + Y_1 \cdot X
\]

**State Diagram Explanation:**

- The state diagram depicts the transitions between four states: Up, Down, Left, and Right, based on the inputs \(X\) and their respective outputs \(Z\).
- Each state is represented by an oval and linked with arrows indicating state transitions.
- The arrows are labeled with the input/output (X/Z) that causes the transition.

**State Transitions:**

- **Up State (0/0)**:
- \( 0/0 \) transition leads to Up.
- \( 1/1 \) transition leads to Right.

- **Down State (0/1)**:
- \( 0/0 \) transition leads to Down.
- \( 1/1 \) transition leads to Left.

- **Left State (1/0)**:
- \( 0/0 \) transition leads to Left.
- \( 1/1 \) transition leads to Up.

- **Right State (1/1)**:
- \( 0/0 \) transition leads to Right.
- \( 1/1 \) transition leads to Down.

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