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Project 7: de morgan’s law, Negation of conjunction, Aq b – Elenco Understanding Logic Gates and Circuits User Manual

Page 14: Aq b same, Ab q q, Negation of conjunction = disjunction of negations

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U17

Project 7:

De Morgan’s Law

Negation of Conjunction

This circuit demonstrates De Morgan’s Law of
Negation of Conjunction which states that the
negation

of

a

conjunction

is

equivalent

to

disjunction of the negations.

Turn the slide switch

(S1) on.

The green wire on the left connects the A

inputs of the top U15 module and the U16 module
(representing the A input in the diagrams below)
while the green wire on the right connects the B
inputs of the second U15 module and the U16
module (representing the B input in the diagrams
below). Connect the loose ends of the red wire and
the black wire to either high voltage (1) or low
voltage (0).

No matter what combination you

connect, the green LED and red LED will always
either both be on or both be off, demonstrating that
any combination of inputs to the two diagrams
always provides the same outputs.

Negation of Conjunction = Disjunction of Negations.

1

1

4

A

Q

B

=

A

Q

B

Same

U15

U16

U15

U15

1

1

1

1

1

1

1

1

2

2

1

2

2

2

2

2

2

2

2

2

2

2

2

4

2

3

3

2

3

2

3

3

3

2

3

2

2

2

Negation

of

Conjunction

Disjunction

of

Negations

3

3

2

14

1

0

1

1

5

2

2

3

3

4

4

5

2

A

B

Q

Q