Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Form the truth table for an 8-to-3 priority encoder. Use w7 W6 W5 W4 W3 W2 W₁ Wo as inputs and and z. y2 yı yoz as outputs. Derive the simplified Boolean expressions for y2

Form the truth table for an 8-to-3 priority encoder. Use w7 W6 W5 W4 W3 W2 W₁ Wo as inputs and and z. y2 yı yoz as outputs. Derive the simplified Boolean expressions for y2

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...
See similar textbooks
icon
Related questions
Question

Please explain the solution in detail.

**Transcribing and Analyzing an 8-to-3 Priority Encoder** The task is to form the truth table for an 8-to-3 priority encoder. The inputs to consider are \( w_7, w_6, w_5, w_4, w_3, w_2, w_1, w_0 \), and the outputs are \( y_2, y_1, y_0, \) and \( z \). The goal is to derive the simplified Boolean expressions for \( y_2 \) and \( z \). ### Understanding Priority Encoders A priority encoder is a digital circuit that compresses multiple binary inputs into a smaller number of outputs. The main feature of a priority encoder is that it assigns priority to the highest-order input signal. ### Inputs and Outputs - **Inputs**: \( w_7 \) to \( w_0 \) - Each input can be either 0 or 1. - \( w_7 \) has the highest priority, while \( w_0 \) has the lowest priority. - **Outputs**: \( y_2, y_1, y_0, z \) - \( y_2, y_1, y_0 \) are the encoded binary outputs. - \( z \) indicates whether any inputs are active (1 if any \( w \) is 1, 0 otherwise). ### Example Truth Table Below is an example layout of what the truth table might look like. This table will include each input combination and the respective outputs: | \( w_7 \) | \( w_6 \) | \( w_5 \) | \( w_4 \) | \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( y_2 \) | \( y_1 \) | \( y_0 \) | \( z \) | |-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | X | X | X | X
Transcribed Image Text:**Transcribing and Analyzing an 8-to-3 Priority Encoder** The task is to form the truth table for an 8-to-3 priority encoder. The inputs to consider are \( w_7, w_6, w_5, w_4, w_3, w_2, w_1, w_0 \), and the outputs are \( y_2, y_1, y_0, \) and \( z \). The goal is to derive the simplified Boolean expressions for \( y_2 \) and \( z \). ### Understanding Priority Encoders A priority encoder is a digital circuit that compresses multiple binary inputs into a smaller number of outputs. The main feature of a priority encoder is that it assigns priority to the highest-order input signal. ### Inputs and Outputs - **Inputs**: \( w_7 \) to \( w_0 \) - Each input can be either 0 or 1. - \( w_7 \) has the highest priority, while \( w_0 \) has the lowest priority. - **Outputs**: \( y_2, y_1, y_0, z \) - \( y_2, y_1, y_0 \) are the encoded binary outputs. - \( z \) indicates whether any inputs are active (1 if any \( w \) is 1, 0 otherwise). ### Example Truth Table Below is an example layout of what the truth table might look like. This table will include each input combination and the respective outputs: | \( w_7 \) | \( w_6 \) | \( w_5 \) | \( w_4 \) | \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( y_2 \) | \( y_1 \) | \( y_0 \) | \( z \) | |-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | X | X | X | X
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Simplification of Boolean Functions Using Karnaugh Map
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS