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