Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
Related questions
Question
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
Transcribed Image Text:2. Simplify the Boolean expressions:
(i) (X+Y) (X+Y') ( X'+Z)
(ii) XYZ + X' Y Z + XY'Z
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