AND gate:
It is an electronic circuit, which produce high logic (1) output when both the input logic are high (1) and produce low logic(0) when any one of the input logic is low (0). The output produce by this basic gate is the product of its input logic.
Algebraic expression:
F=A.B
where, A and B are inputs, F is an output
Gate symbol:
Truth table:
Venn-diagram:
OR gate:
It is an electronic circuit, which produce high logic (1) output when any one of the input logic are high (1) and produce low logic(0) when both the input logic is low (0). The output produce by this basic gate is the sum of its input logic.
Algebraic expression:
F=A+B
where, A and B are inputs, F is an output and “+” Denotes OR operation
Gate symbol:
Truth table:
Venn-diagram:
NOT gate:
It is an electronic circuit, which produce high logic (1) output when the input logic is low (0) and produce low logic(0) when the input logic is high (1). The output produce by this basic gate is the reciprocal of its input logic.
Algebraic expression:
F=A’
where, A is inputs, F is an output
Gate symbol:
Truth table:
Venn-diagram:
NAND gate
It is the combination of NOT and AND gate, which produce high logic (1) output when any one of the input logic is low (0) and produce low logic(0) when both the input logic is high (1). The output produce by this basic gate is the reciprocal or complement of AND gate. It is also known as derived gate.
Algebraic expression:
F=(A.B)’
where, A and B are inputs, F is an output.
Gate symbol:
Truth table:
| A | B | A.B | (A.B)' |
| 0 | 0 | 0 | 1 |
| 0 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 0 |
Venn-diagram:
NOR gate:
It is the combination of NOT and OR gate, which produce high logic (1) output when both the input logic is low (0) and produce low logic(0) when any one of the input logic is high (1). The output produce by this basic gate is the reciprocal or complement of OR gate. It is also known as derived gate.
Algebraic expression:
F=(A+B)’
where, A and B are inputs, F is an output.
Gate symbol:
Truth table
| A | B | F=A+B | F=(A+B)' |
| 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 1 | 0 |
Venn-diagram:
X-OR gate
It is derived gate, which produce low logic (0) output when both the input logic are either high (1) or low (0) otherwise it will produce high logic(1).
Algebraic expression:
F=A’.B+A.B’
where, A and B are inputs, F is an output.
Gate symbol:
Truth table:
| A | B | A' | B' | A'.B | A.B' | A'.B+AB' |
| 0 | 0 | 1 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
Venn-diagram:
X-NOR gate
It is derived gate, which produce high logic (1) output when both the input logic are either high (1) or low (0) otherwise it will produce low logic(0).
Algebraic expression:
F=A.B+A’.B’ where, A and B are inputs, F is an output.
Gate symbol:
Truth table:
| A | B | A' | B' | A.B | A'.B' | A.B+A'.B' |
| 0 | 0 | 1 | 1 | 0 | 1 | 1 |
| 0 | 1 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 1 | 0 | 1 |
Ven-diagram:
