Standard and Canonical Forms | Verilog | K-Map Consider the following Boolean Function: F(p,q,r) = p'q' + p'r' + qr On a separate sheet of paper complete the truth table for the function then transcribe the information requested below. Minterm р 9 r Notation Designation F Express the function in three canonical forms F(p, q, r) = F(p,q,r) = F(p, q, r) = On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function
Standard and Canonical Forms | Verilog | K-Map Consider the following Boolean Function: F(p,q,r) = p'q' + p'r' + qr On a separate sheet of paper complete the truth table for the function then transcribe the information requested below. Minterm р 9 r Notation Designation F Express the function in three canonical forms F(p, q, r) = F(p,q,r) = F(p, q, r) = On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![# Standard and Canonical Forms | Verilog | K-Map
Consider the following Boolean Function:
\[ F(p, q, r) = p'q' + p'r'r + qr \]
On a separate sheet of paper complete the truth table for the function then transcribe the information requested below.
## Truth Table
| \( p \) | \( q \) | \( r \) | Notation | Designation | \( F \) |
|---------|---------|---------|----------|-------------|---------|
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
Express the function in three canonical forms:
\[ F(p, q, r) = \]
\[ F(p, q, r) = \]
\[ F(p, q, r) = \]
On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function.
## K-Map
The K-Map is shown in a grid format.
| \( yz \) | 00 | 01 | 11 | 10 |
|----------|----|----|----|----|
| **0** | | | | |
| \( m_0 \) | 0 | c | c | c |
| \( x'y'z' \) | l | l | l | |
| **1** | | | | |
| \( r \) | r | r | r | r |
| \( r \) | c | c | c | c |
| \( l \) | l | l | l | l |
Minimized function \( F(p, q, r) = \)
---
This exercise is designed to help students understand how to convert Boolean functions into different canonical forms and minimize them using Karnaugh Maps (K-Maps).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F285e13fe-9dd6-440e-b2b0-14b6eb48938b%2Ffdd32d95-60c0-4449-b3ac-681a899669f3%2Fiel47gp_processed.png&w=3840&q=75)
Transcribed Image Text:# Standard and Canonical Forms | Verilog | K-Map
Consider the following Boolean Function:
\[ F(p, q, r) = p'q' + p'r'r + qr \]
On a separate sheet of paper complete the truth table for the function then transcribe the information requested below.
## Truth Table
| \( p \) | \( q \) | \( r \) | Notation | Designation | \( F \) |
|---------|---------|---------|----------|-------------|---------|
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
Express the function in three canonical forms:
\[ F(p, q, r) = \]
\[ F(p, q, r) = \]
\[ F(p, q, r) = \]
On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function.
## K-Map
The K-Map is shown in a grid format.
| \( yz \) | 00 | 01 | 11 | 10 |
|----------|----|----|----|----|
| **0** | | | | |
| \( m_0 \) | 0 | c | c | c |
| \( x'y'z' \) | l | l | l | |
| **1** | | | | |
| \( r \) | r | r | r | r |
| \( r \) | c | c | c | c |
| \( l \) | l | l | l | l |
Minimized function \( F(p, q, r) = \)
---
This exercise is designed to help students understand how to convert Boolean functions into different canonical forms and minimize them using Karnaugh Maps (K-Maps).
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