Please show all the steps (Solutions). **Priority Encoder Truth Table and Boolean Expression Derivation****Objective:**Formulate the truth table for an 8-to-3 priority encoder. Utilize \( w_7, w_6, w_5, w_4, w_3, w_2, w_1, w_0 \) as inputs and \( y_2, y_1, y_0, z \) as outputs. Derive the simplified Boolean expressions for \( y_2 \) and \( z \).**Description:**- **Inputs:** - \( w_7 \) to \( w_0 \) are the input lines, each representing a unique priority level from highest (\( w_7 \)) to lowest (\( w_0 \)).- **Outputs:** - \( y_2, y_1, y_0 \): These outputs represent the binary encoding of the highest priority active input line. - \( z \): This output indicates whether any input is active, functioning as an enable/disable status signal.**Requirements:**1. Construct the truth table that maps inputs \( w_7 \) to \( w_0 \) to outputs \( y_2, y_1, y_0, \) and \( z \).2. Derive simplified Boolean expressions for \( y_2 \) and \( z \).Use the given information to understand the priority encoding mechanism, focusing on generating correct logic expressions for the encoder's outputs based on the priority rules.

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Answered: Form the truth table for an 8-to-3…

Form the truth table for an 8-to-3 priority encoder. Use W7 W6 W5 W4 W3 W2 W₁ Wo as inputs and y2 Y₁ Yo z as outputs. Derive the simplified Boolean expressions for y2 and z.

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

Please show all the steps (Solutions).

**Priority Encoder Truth Table and Boolean Expression Derivation**

**Objective:**
Formulate the truth table for an 8-to-3 priority encoder. Utilize \( w_7, w_6, w_5, w_4, w_3, w_2, w_1, w_0 \) as inputs and \( y_2, y_1, y_0, z \) as outputs. Derive the simplified Boolean expressions for \( y_2 \) and \( z \).

**Description:**

- **Inputs:**
- \( w_7 \) to \( w_0 \) are the input lines, each representing a unique priority level from highest (\( w_7 \)) to lowest (\( w_0 \)).

- **Outputs:**
- \( y_2, y_1, y_0 \): These outputs represent the binary encoding of the highest priority active input line.
- \( z \): This output indicates whether any input is active, functioning as an enable/disable status signal.

**Requirements:**

1. Construct the truth table that maps inputs \( w_7 \) to \( w_0 \) to outputs \( y_2, y_1, y_0, \) and \( z \).
2. Derive simplified Boolean expressions for \( y_2 \) and \( z \).

Use the given information to understand the priority encoding mechanism, focusing on generating correct logic expressions for the encoder's outputs based on the priority rules.

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