Which of the following are correct statements about logic gates and their combinations:

(A). The output of an EX-OR gate is a logic '1' when the inputs are unlike and a logic '0' when the inputs are like.
(B). The output of a NAND gate is a logic '1' when all its inputs are a logic '1'.
(C). The output of a two-input EX-NOR gate is a logic 'l' when the inputs are like and a logic '0' when they are unlike
(D). The shorting the inputs of a NOR gate gives a NOT circuit.

Choose the correct answer from the options given below: