Logic Gates. A Logic Gate and its Truth Table.

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Logic Gates
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    21-Dec-2015
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Transcript of Logic Gates. A Logic Gate and its Truth Table.

Page 1: Logic Gates. A Logic Gate and its Truth Table.

Logic Gates

Page 2: Logic Gates. A Logic Gate and its Truth Table.

A Logic Gate and its Truth Table

Page 3: Logic Gates. A Logic Gate and its Truth Table.

A Logic Gate and its Truth Table

Page 4: Logic Gates. A Logic Gate and its Truth Table.

A Logic Gate and its Truth Table

Page 5: Logic Gates. A Logic Gate and its Truth Table.

A Logic Gate and its Truth Table

Page 6: Logic Gates. A Logic Gate and its Truth Table.

A Logic Gate and its Truth Table

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A Logic Circuit

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A Logic Circuit

F=AB’C+ABC+(C+D)(D’+E)=A(B’+B)C+CD’+CE+DD’+DE=

=AC+CD’+CE+DE=C(A+D’+E)+DE

To show that these two circuits have equivalent functions let us simplify the function F=AB’C+ABC+(C+D)(D’+E)

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Additional Logic Gates Symbols

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Completeness of NAND Logic Gates

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Completeness of NOR Logic Gates

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From Transistors to Logic Gates

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From Transistors to Logic Gates

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De Morgan’s Laws

Two complementary laws yield equivalent functions:

(ABC)’=A’+B’+C’

(A+B+C)’=A’B’C’