1. Find the complement of X + YZ and verified the result using a truth table.
1. Find the complement of X + YZ and verified the result using a truth table.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
![Boolean Algebra Theorems
1.
2.
3.
4.
5.
6.
7.
8.
9.
X+0=X
X + 1 = 1
X + X = X
X + X =1
X.0=0
X.1=X
X.X=X
X. X = 0
==
X = X
10.
11.
12.
13.
NU LAGUNA
x+x}
OR operations
AND operations
Double complement
X+Y=Y+X
XY = YX
(X+Y) +Z = X +(Y+Z) Associative laws
(X. Y). Z=X. (Y.Z)
Commutative laws
14.
15.
16.
17.
18.
19.
20.
21.
Distribution Law
X (Y+Z) = XY + XZ
X+Y.Z = (X+Y). (X + Z) Dual of Distributive Law
X+XZ = X
X(X +Z) = X
X+ X Y =X+Y
X (X+Y)=X.Y
X+Y = X.Y
X.Y = X+Y
Laws of absorption
Identity Theorems
De Morgan's Theorems](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f724d1-92d7-4b03-ab96-656d4b5cdb6b%2F36e1688a-8132-4d10-8be0-c8f7720dfab8%2Fx46gas_processed.png&w=3840&q=75)
Transcribed Image Text:Boolean Algebra Theorems
1.
2.
3.
4.
5.
6.
7.
8.
9.
X+0=X
X + 1 = 1
X + X = X
X + X =1
X.0=0
X.1=X
X.X=X
X. X = 0
==
X = X
10.
11.
12.
13.
NU LAGUNA
x+x}
OR operations
AND operations
Double complement
X+Y=Y+X
XY = YX
(X+Y) +Z = X +(Y+Z) Associative laws
(X. Y). Z=X. (Y.Z)
Commutative laws
14.
15.
16.
17.
18.
19.
20.
21.
Distribution Law
X (Y+Z) = XY + XZ
X+Y.Z = (X+Y). (X + Z) Dual of Distributive Law
X+XZ = X
X(X +Z) = X
X+ X Y =X+Y
X (X+Y)=X.Y
X+Y = X.Y
X.Y = X+Y
Laws of absorption
Identity Theorems
De Morgan's Theorems
![1. Find the complement of X + YZ and verified the result using a truth
table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f724d1-92d7-4b03-ab96-656d4b5cdb6b%2F36e1688a-8132-4d10-8be0-c8f7720dfab8%2F5cfk7_processed.png&w=3840&q=75)
Transcribed Image Text:1. Find the complement of X + YZ and verified the result using a truth
table.
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