Brian's link is a good explanation on the aperture number being the exception to the rule of doubling or halving but the other problem is that the article was written as if only digital cameras exist so this statement becomes suspect if we are talking about film ISO , doesn't it?
The quote from the article says:
"You could open the aperture wider to let in more light - moving from f/8 to f/5.6 is an increase of 1 stop, so we've got back to our original exposure. Alternatively you could double the ISO speed from 200 to 400, again resulting in a 1 stop increase"
I wonder at times if all newcomers to film realise that changing the ISO rating on the dial does not transform a 100 film into a 1600 film as if this were another alternative adjustment to changing shutter speed or aperture aperture
pentaxuser