Logic gate: The digital circuit that can be analyzed with the help of Boolean algebra is called logic circuit or logic gate. A logic circuit has two or more inputs but only one output.
There are normally three logic circuit namely the OR gate, the AND gate and the NOT gate.
Truth table: The operation of a logic gate or circuit can be represented in a table which contains all possible inputs and their corresponding output is called the truth table. To write the truth table we use binary digits 1 and 0.
(1) The 'OR' gate
(i) It has two inputs (A and B) and only one output (Y)
(ii) Boolean expression is Y = A + B
(iii) Truth table and logic symbol
A
|
B
|
Y = A + B
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
(2) The 'AND' gate
(i) It has two inputs and one output.
(ii) Boolean expression is Y = A · B
(iii) Truth table and logic symbol:
A
|
B
|
Y = A · B
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
(3) The 'NOT' gate
(i) It has only single input and only single output
(ii) Boolean expression is
(iii) Truth table and logic symbol:
A
|
|
0
|
1
|
1
|
0
|
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