A digital circuit with input $x$ and $y$ is constructed with $7402$ and $7404$ chips as shown in the diagram.

Select the following statements that are true.

The pin $4$ on $7402$ is $x+y.$

The pin $10$ on $7402$ is $x+y.$

The pin $2$ on $7404$ is $y.$

With the output pins $13,10,1,4$ on $7402,$ the circuit is $2x4$ decoder.