In the diagram assume that pressing a button generates an electronic signal along any wires connected to the button.

Each button is connected to a number of input points on an integrated circuit that implements AND or OR gates inside $($shown in the diagram$).$

Based on how the digital circuit is wired, is it possible to press some combination of buttons so that $2($and ONLY $2)$ LEDs light up$,$ without the green LED being one of the two to turn on$?$

If so$,$ select which buttons must be pressed in order for the $2$ non$-$green LEDs to light up$,$ and which two coloured LEDs turn on$.$

Remember: the green light should not be lit!

A$)$ The red LED is one of the two LEDs that turns on

B$)$ The blue LED is one of the two LEDs that turns on

C$)$ The yellow LED is one of the two LEDs that turns on

D$)$ Press button $1$

E$)$ Press button $2$

F$)$ Press button $3$

G$)$ Press button $4$

H$)$ Press button $5$