In the circuit shown in the figure, if \displaystyle{C}={0}, the expression for \displaystyle{Y} is

(a) \displaystyle{Y}={A}\overline{{B}}+\overline{{A}}{B}

(b) \displaystyle{Y}={A}+{B}

(c) \displaystyle{Y}=\overline{{A}}+\overline{{B}}

(d) \displaystyle{Y}={A}{B}