Given the following logic diagram:

a$.$ Which of the following correctly represents the output Z$?$

Multiple choice $1$ Question $18$

AB $+($B $\backslash$oplus A$)+$ C$$

AB $\backslash$oplus $($B $+$ A$)\text{'}+$ C$\text{'}$

AB $\backslash$oplus B $+($A$\text{'}+$ C$)\text{'}$

A $+$ B $\backslash$oplus $($A $+$ C$)\text{'}$

b$.$ Output Z would be simplified to give Answer $1$ Question $18$