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$$\text{Upper branch input to upper AND gate} = x$$
$$\text{Lower branch input to upper AND gate} = \bar{x}$$
$$\text{Output of upper AND gate} = x \cdot \bar{x} = 0$$
$$\text{Upper branch input to lower AND gate} = y$$
$$\text{Lower branch input to lower AND gate} = y$$
$$\text{Output of lower AND gate} = y \cdot y = y$$
$$z = \overline{0 \cdot y} = \overline{0} = 1$$
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