In Digital systems, there will be 8 digital logic gates with different logic troth table. By using those gates we can design any digital circuit. In bellow you will find those digital logic gates with truth table.
AND gate: AND gate is used for doing AND / Multiplication of input signals and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of AND gate. From the truth table you can see that the output is generated by multiplying both inputs.
NAND gate: NAND gate is used for doing inverted the output of AND gate and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of NAND gate. From the truth table you can see that the output is generated by inverted the output of AND gate..
OR gate: OR gate is used for doing OR / Addition of input signals and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of OR gate. From the truth table you can see that the output is generated by adding both inputs.
NOR gate: NOR gate is used for doing inverted the output of OR gate and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of NOR gate. From the truth table you can see that the output is generated by inverted the output of OR gate.
Inverter: Inverter is used for doing complement the input of inverter and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of inverter. From the truth table you can see that the output is generated by inverted the input of inverter gate.
Buffer: Buffer is used for mainly impedance matching of two devices. It generates the same output as input given. In bellow see the Graphic symbol, Algebraic function, Truth table of buffer.
Exclusive-OR (XOR) gate: XOR gate is a special purpose gate.it has special ability to generate logic 0 output for the same input present in both inputs. And rest of work same as OR gate. In bellow see the Graphic symbol, Algebraic function, Truth table Of XOR gate.
XNOR gate: XNOR gate is used for doing inverted the output of XOR gate and generates output accordingly. In bellow see the Graphic symbol, Algebraic function, Truth table Of XNOR gate. From the truth table you can see that the output is generated by inverted the output of XOR gate. The special ability of XNOR gate is it give logic 1 for same input of both inputs pin of XNOR gate.