For the following circuits, first complete the truth table, and then write the Boolean equation for output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.
For the following circuits, first complete the truth table, and then write the Boolean equation for output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.
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
![2 | EGR 240-HW 1 Num. Sys./Logic Gates/Digital Design/Bool. Alg.
2. For the following circuits, first complete the truth table, and then write the Boolean equation for
output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.
Sum-of-products Z₁:_
Product-of-sums Z₁:
A
B
VY
Sum-of-products Z2:
Product-of-sums Z₂:
H
C
●
P/
OR
b
OR
a
b
C
AND
Z
Z
A B
0 0 0
1
1 0
1
1
0 0
0
1
1
0
00
0
0
1
1
1
1 1 1
A
0
0
0
1
1
1
1
Name
B C
0
0
1
0 1
0
1
0
1
0 0
0 1
1
0
1 1
a
a
b
b
C
C
Z₁
S
Z₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18395f57-75e3-4bdb-980a-ed8850989594%2F5a7484d4-77c0-4b2a-9c0a-d819ef28ab0e%2F2zyru3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2 | EGR 240-HW 1 Num. Sys./Logic Gates/Digital Design/Bool. Alg.
2. For the following circuits, first complete the truth table, and then write the Boolean equation for
output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.
Sum-of-products Z₁:_
Product-of-sums Z₁:
A
B
VY
Sum-of-products Z2:
Product-of-sums Z₂:
H
C
●
P/
OR
b
OR
a
b
C
AND
Z
Z
A B
0 0 0
1
1 0
1
1
0 0
0
1
1
0
00
0
0
1
1
1
1 1 1
A
0
0
0
1
1
1
1
Name
B C
0
0
1
0 1
0
1
0
1
0 0
0 1
1
0
1 1
a
a
b
b
C
C
Z₁
S
Z₂
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