Question 3 3 a) Construct truth table for the following function .. F(a,b,c)=(ab+a'c)'+bc 9. ab a'c ab+a'c (ab+a'c)' | bc (ab+a'c)'+bc a a' 0. 0. 1 0. 1 1 0. 1 0 101 0 111 000 0 0100 100 1 1 1 1 1 1 1 1 b) Use the truth table of (a) to write the function F in sum of minterms form F (a, b, c) = c) Expand the function F(x,y,z)= y +x'z_to product of Maxterms form "

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...
icon
Related questions
Question
**Question 3**  

a) Construct a truth table for the following function:

\[ F(a, b, c) = (ab + a'c')' + bc \]

\[
\begin{array}{ccccccccc}
a & b & c & a' & ab & a'c' & ab + a'c' & bc & (ab + a'c')' + bc \\
\hline
0 & 0 & 0 & 1 & 0 & 1 &   &   &   \\
0 & 0 & 1 & 1 & 0 & 0 &   &   &   \\
0 & 1 & 0 & 1 & 0 & 1 &   &   &   \\
0 & 1 & 1 & 1 & 0 & 0 &   &   &   \\
1 & 0 & 0 & 0 & 0 & 1 &   &   &   \\
1 & 0 & 1 & 0 & 0 & 0 &   &   &   \\
1 & 1 & 0 & 0 & 1 & 1 &   &   &   \\
1 & 1 & 1 & 0 & 1 & 0 &   &   &   \\
\end{array}
\]

b) Use the truth table of (a) to write the function \( F \) in sum of minterms form.

\[ F(a, b, c) = \]

c) Expand the function \( F(x, y, z) = y + x'z \) to product of maxterms form.
Transcribed Image Text:**Question 3** a) Construct a truth table for the following function: \[ F(a, b, c) = (ab + a'c')' + bc \] \[ \begin{array}{ccccccccc} a & b & c & a' & ab & a'c' & ab + a'c' & bc & (ab + a'c')' + bc \\ \hline 0 & 0 & 0 & 1 & 0 & 1 & & & \\ 0 & 0 & 1 & 1 & 0 & 0 & & & \\ 0 & 1 & 0 & 1 & 0 & 1 & & & \\ 0 & 1 & 1 & 1 & 0 & 0 & & & \\ 1 & 0 & 0 & 0 & 0 & 1 & & & \\ 1 & 0 & 1 & 0 & 0 & 0 & & & \\ 1 & 1 & 0 & 0 & 1 & 1 & & & \\ 1 & 1 & 1 & 0 & 1 & 0 & & & \\ \end{array} \] b) Use the truth table of (a) to write the function \( F \) in sum of minterms form. \[ F(a, b, c) = \] c) Expand the function \( F(x, y, z) = y + x'z \) to product of maxterms form.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,