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close this bookDigital Teaching Aid (DED Philippinen, 86 p.)
close this folderCircuit Analysis and Design - Lesson 3
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View the documentHandout No. 2
View the documentWorksheet No. 3

Handout No. 2

Boolean Algebra Theorems

No

Theorem

Name

1a
1b

A + B = B + A
AB = BA

Commutative law

2a
2b

(A + B) + C = A + (B + C)
(AB) C = A (B + C)

Associative law

3a
3b

A (B + C) = AB + AC
A + (BC) = (A+ B) (A+ C)

Distributive law

4a
4b

A + A = A
AA = A

Identity law

5a
5b


Negation

6a
6b

A + AB = A
A (A + B) = A

Redundancy

7a
7b
7c
7d

0 + A = A
1 A = A
1 + A = 1
0A = 0


8A
8b



9a
9c



10a
10b


De Morgan's laws