Multiplexing 16 LEDS

Here’s the issue I’m trying to make out how I multiplex all 16 LEDS and do what I need them to do by a press of the left button? refer to this crappy diagram below

key

1= Lit
0= not lit

00000000
11100000

as you see from that crappy diagram I’m in need to keep all LEDs on to serve as a power level of the Playmates Toy phaser’s gutted display where the LEDs are gonna be in but how I can multiplex them and have them left on for every left button press?

Was this supposed to be a a new thread, or a reply to this thread: How can I effectively drive multiple LEDs with multiplexing??