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Table of Digital Logic Gates and Their Properties |
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Gate |
Description |
Truth Table |
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AND
Gate |
The
AND gate
is a logic gate that gives an output of '1' only when all of its
inputs are '1'. Thus, its output is '0' whenever at least one
of its inputs is '0'. Mathematically,
Q = A · B. |
|
A |
B |
Output Q |
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0 |
0 |
0 |
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0 |
1 |
0 |
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1 |
0 |
0 |
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1 |
1 |
1 |
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OR
Gate |
The
OR gate
is a logic gate that gives an output of '0' only when all of its inputs
are '0'.
Thus, its output is '1' whenever at least one of its inputs is '1'.
Mathematically,
Q = A + B. |
|
A |
B |
Output Q |
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0 |
0 |
0 |
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0 |
1 |
1 |
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1 |
0 |
1 |
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1 |
1 |
1 |
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NOT
Gate |
The
NOT
gate is a logic gate that gives an output
that is opposite the state of its input.
Mathematically,
Q =
A. |
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NAND Gate |
The
NAND
gate is
an AND gate with a NOT gate at its end.
Thus, for the same combination of inputs, the output of a NAND gate
will be opposite that of an AND gate.
Mathematically,
Q =
A · B. |
|
A |
B |
Output Q |
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0 |
0 |
1 |
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0 |
1 |
1 |
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1 |
0 |
1 |
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1 |
1 |
0 |
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NOR
Gate |
The
NOR
gate is
an OR gate
with a NOT gate at its end.
Thus, for the same combination of inputs, the output of a NOR gate
will be opposite that of an OR gate.
Mathematically,
Q =
A + B. |
|
A |
B |
Output Q |
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0 |
0 |
1 |
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0 |
1 |
0 |
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1 |
0 |
0 |
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1 |
1 |
0 |
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EXOR
Gate |
The
EXOR gate
(for 'EXclusive
OR' gate) is a logic gate that gives an output of '1' when only one of
its inputs is '1'. |
|
A |
B |
Output Q |
|
0 |
0 |
0 |
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0 |
1 |
1 |
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1 |
0 |
1 |
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1 |
1 |
0 |
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