The AND gate:
Result of AND gate is (a AND b) or if there are many inputs (a AND b AND c)
The NAND gate:
Result of NAND gate is NOT (a AND b) or if there are many inputs NOT (a AND b AND c)
The OR gate:
Result of OR gate is (a OR b) or if there are many inputs (a OR b AND c)
The NOR gate:
Result of NOR gate is NOT (a OR b) or if there are many inputs NOT (a OR b AND c)
The NOT gate:
Result of NOT gate is NOT a