Investigatory Project
PROJECT TITLE :
Logic Gates
Contents
sl.no. title page no.
1 introduction 3
2 principle
3 basic gates
4 the OR gate
5 the AND gate
6 the NOT gate
7 the NOR gate
8 the NAND gate
9 the EX-OR gate
10 the EX-NOR
gate
11 summary
12 bibliography
Introduction
2
GATES : A gate is defined as a digital circuit which follows some
logical relationship between the input and output voltages. it is a
digital circuit which either allows a signal to pass through it or stops it.
● The logic gates are building blocks at digital electronics. they are
used in digital electronics to change one voltage level into another
according to some logic statement relating to them
TRUTH TABLE : A logic gate may have one or more
than one inputs, but has only one output. the
relationship between the possible values of input and
output voltages are expressed in the form of a table
called a truth table
● Truth table of a logic gate is a table that shows all the inputs and
outputs that are possible for the logic gates.
BOOLEAN ALGEBRA : The algebra which is based on binary nature
of the logic gates.
BOOLEAN EXPRESSIONS : They are the logical statements which
are followed by the logical gates.
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Principle
Any Boolean algebraic operation can be associated with the input and
output, which represents the statement of boolean algebra. Although
these circuits may be complex, they may all be constructed from three
basic devices like a P-N junction diode, a resistance and a N-P-N
transistor.
we have three different types of logic gates and they are the AND
gate, the OR gate and the NOT gate.
LOGICAL STATEMENTS
1 0
High Low
Positive Negative
On Off
Close Open
Conducting Non conducting
Right Wrong
True False
Yes No
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Basic Gates
THE OR GATE : It is a device that combines A and B to give Y as the
result. the OR gate has two or more inputs and one output. In Boolean
algebra, addition symbol [+], is referred to as the OR symbol.
The Boolean Expression : A + B = Y
This indicates that Y equals either A or B.
THE AND GATE : It is a device that combines A with B to give Y as the
result. the AND gate has two or more inputs and one output. In Boolean
algebra, the multiplication sign [*] is referred to as the AND symbol.
The Boolean Expression : A.B = Y -OR- A * B= Y
This indicates that Y equals to both A and B.
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THE NOT GATE : It is a device that inverts the inputs. the NOT has
one input and one output. In Boolean algebra, the Bar symbol is referred
to as the NOT symbol.
The Boolean Expression: A̅ = Y
This indicates that Y is not equal to A.
● Making of logic gates was started by binary numbers.
● logic gates can also store information.
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