Truth table$$

Light$$

$$

C$2$

C$1$

C$0$

Ewr$$

Ey$$

Eg$$

Sr$$

Sy$$

SG$$

$0$

$0$

$0$

$0$

$0$

$1$

$1$

$0$

$0$

$0$

$0$

$1$

$0$

$0$

$1$

$1$

$0$

$0$

$0$

$1$

$0$

$0$

$1$

$0$

$1$

$0$

$0$

$0$

$1$

$1$

$1$

$0$

$0$

$1$

$0$

$0$

$1$

$0$

$0$

$1$

$0$

$0$

$0$

$0$

$1$

$1$

$0$

$1$

$1$

$0$

$0$

$0$

$0$

$1$

$1$

$1$

$0$

$1$

$0$

$0$

$0$

$1$

$0$

$1$

$1$

$1$

$1$

$0$

$0$

$1$

$0$

$0$

$$

S$$

C$2$

C$1$

C$0$

N$2$

N$1$

N$0$

$0$

$0$

$0$

$0$

$0$

$0$

$0$

$0$

$0$

$0$

$1$

$0$

$1$

$0$

$0$

$0$

$1$

$0$

$0$

$1$

$1$

$0$

$1$

$0$

$0$

$1$

$0$

$1$

$0$

$1$

$0$

$1$

$1$

$1$

$0$

$0$

$1$

$1$

$0$

$1$

$1$

$1$

$0$

$1$

$1$

$1$

$0$

$0$

$0$

$$

Equations:$$

Ewr$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

Ey$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

Eg$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

Sr$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

Sy$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

SG$=$C$2$C$1$C$0+$C$2$C$1$C$0+$C$2$C$1$C$0$

N$2=$C$2$C$1$C$0$S$+$C$2$C$1$C$0$S$$

N$1=$C$2$C$1$C$0$S$+$C$2$C$1$C$0$S$$

N$0=$C$2$C$1$C$0$S$+$C$2$C$1$C$0$S$$

$$with the truth table design the circuit using simulator java

Build it

Build the circuit in the simulator. Use an input$-$pin for the car switch and six output pins for the lights. You may use either $1-$bit registers or NAND gates as D$-$flip$-$flops to store your state. The rest of your circuit must consist only of AND$/$OR$/$NAND$/$NOR$/$NOT gates and buses.