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TRUE
FALSE
 The Law of Identity
(A is A)
 The Law of Noncontradiction
(A is not equal to A)
 The Law of Excluded Middle
(Either A or A)
 The Law of Rational Inference
(Process of Elimination)
Relationships
between
mathematical
quantities limited to
one of two possible
values.
If A = 0
Then A = 1
If A = 1
Then A = 0
(Complement)
A
B
C
AB
B+C
BC
BC (B+C)
AB + BC (B+C)
AB + BC ( B + C )
AB + BBC + BCC
AB + BC + BC
AB + BC
B ( A + C )
DISTRIBUTING
TERMS
APPLYING IDENTITY ( AA = A )
APPLYING IDENTITY ( A + A = A )
FACTOR B OUT OF TERMS
A
C
B
B ( A + C )
A + C
This circuit is much simpler than
the original,
Having two logic gates instead of
five.
Boolean Algebra

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Boolean Algebra