So in that sense, the math is pretty easy(assuming a constant aperture, for simplicity). If you were taking a picture that needed 1 second to expose properly at ISO 800, the exposure times would look like this:
ISO Shutter Speed/exposure time(in seconds)
100 8
200 4
400 2
800 1
1600 1/2
3200 1/4
6400 1/8
*assumes constant aperture
Ideally, you would always use be able to use ISO 100, or high ISOs would not give you any noise, but this is not the case. So the available light will dictate what ISO you should use. If there are moving subjects, like people, the shutter speed will need to be at least 1/50, and probably more like 1/100 to get crisp shots, so you dial that in, choose a wide aperture(since available light is the limiting factor), and then just see what ISO lets you expose the image properly. You will need to see what high ISOs look like in your camera, and determine if that is something you are okay with or not.
Here is a real quick test I took, where the ISO increased in each shot, in order to demonstrate how ISO affects an image. The shutter speed had to be faster each time, to compensate for the ISO going up and collecting more light.
One thing that you will want to avoid, is using a high ISO when you didn't need to, because this needlessly degrades your image quality. If you are outside, shooting portraits or landscapes, and you're getting shutter speeds of 1/1000 but are using ISO 800, that is technically "wrong". Because for landscapes and portraits, you do not need such a fast shutter speed, so you can slow that down quite a bit, and then use that extra light to reduce your ISO. This happened to me numerous times when I was shooting in low light the night before, and the next day I would run out and then be taking pictures of whatever it may have been, but forgot to check the ISO was at. Just something to watch out for.
Here are some shots at "high" ISOs. Just to show you that you shouldn't be afraid to crank it up when you need to.
| ISO 2000, 50mm, 1/100, f/1.8 |
| ISO 3200, f/3.5, 8mm, 1/60 |
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| ISO 12800!(by accident!), f/3.5, 8mm, 45 seconds |


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