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 "
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...
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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F961708f4-651d-4f4a-aa9f-158a3732dd62%2F7c74a611-89c2-4f6e-a6a8-20911af3ae6a%2Fkuo5vtp_processed.jpeg&w=3840&q=75)
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.
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