Why does the LED turn on after the while loop becomes false?

[TomGeorge]

Hi,
How have you got your button wired?
1.Between digital input and gnd.
OR
2. Between digital input and 5V

If 1. Have you got a 10K pullup resistor between the digital input and 5V?
If 2. Have you got a 10K pulldown resistor between the digital input and gnd?

What model Arduino are you using?

Thanks... Tom...