This is the symbol and the truth table for the 'AND' gate. The AND gate is an electronic cercuit that gives a high output only if all its inputs are high.
This is the symbol and the truth table for the 'OR' gate. The OR gate is an electronic circuit that gives a high output (1) if one or more of its inputs are high.
This is the symbol and truth gate for the NAND gate. This is a NOT-AND gate which is equal to an AND gate followed by a NOT gate. The outputs of all NAND gates are high if any of the inputs are low.
This is the symbol and truth table for the NOR gate. The 'Exclusive-NOR' gate circuit does the opposite to the EOR gate. It will give a low output if either but not both, of its two inputs are high.