So you have an arduino UNO, good!
We will use it. I hope you can get 5V from it or a bench supply.
Connect D0,1,2,3,7 and ground.
Here is a drawing. The pot sets a voltage from 0 to 5 volts.
IC2 has three switches inside. 74hc4043. (5 volt version) The switch is spdt. Input A causes the switch to connect to X0 or X1.
Two of the switches are connected to D7 switches both of them. Pin 14 and 15 will be (+)/(-) or (-)/(+) depending on D7.
IC1 is a 1 or 8 switch. 74hc4051 Inputs ABC select which position the switch is in. INH needs to be low for the switch to work.
D0,1,2,3 will select which segment is connected. (one at a time)
Set the pot for 2.5 volts.
Set D7 for blue or white. Now set D0-D4 to segment A or D0,1,2,3 = 0,0,0,0. Segment will have a +/- voltage.
You will need to select each segment A....G while you set D7 for white or Blue.
At the end you can take INH=1 to stop setting segments.
You will probably need to keep updating the display every 10 seconds. ????