Here you can see some experiments with 'unavailable' shutter speeds and aperture values on the Canon Powershot S5IS.
You might notice that the EXIF data does not reflect the claimed Tv and Av, that is because the camera does not really know about them. The official limits are:
1/1600, F/2.7 near
1/3200, F/8.0 near
1/1600, F/3.5 far
1/2500, F/8.0 far
Values beyond these limits are recorded given that they are not faster than 1/3200 or smaller than F/8. Values outside these extremes are not properly recorded by the camera and are instead shown as 1/3200 and F/8, respectively. Images with exposure within those ranges have been included to prove that there actually is a difference.
The full images can be obtained by clicking the thumbnails.
Halogen (DC) lamp, closeup
Tv: 1/1667
Av: F/2.7
FL: 36mm
Size: 1.84MB
Halogen (DC) lamp, closeup
Tv: 1/2000
Av: F/2.7
FL: 36mm
Size: 1.88MB
Halogen (DC) lamp, closeup
Tv: 1/2500
Av: F/2.7
FL: 36mm
Size: 1.95MB
Halogen (DC) lamp, closeup
Tv: 1/3333
Av: F/2.7
FL: 36mm
Size: 2.01MB
Halogen (DC) lamp, closeup
Tv: 1/5000
Av: F/2.7
FL: 36mm
Size: 2.05MB
Halogen (DC) lamp, closeup
Tv: 1/10000
Av: F/2.7
FL: 36mm
Size: 2.09MB
Halogen (DC) lamp, closeup
Tv: 1/12500
Av: F/2.7
FL: 36mm
Size: 2.09MB
Halogen (DC) lamp, closeup
Tv: 1/16667
Av: F/2.7
FL: 36mm
Size: 2.10MB
Halogen (DC) lamp, closeup
Tv: 1/20000
Av: F/2.7
FL: 36mm
Size: 2.09MB
Halogen (DC) lamp, closeup
Tv: 1/25000
Av: F/2.7
FL: 36mm
Size: 2.09MB
Halogen (DC) lamp, closeup
Tv: 1/33333
Av: F/2.7
FL: 36mm
Size: 2.09MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/1667
Av: F/11
FL: 432mm
Size: 1.71MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/2000
Av: F/11
FL: 432mm
Size: 1.68MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/2500
Av: F/11
FL: 432mm
Size: 1.65MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/3333
Av: F/11
FL: 432mm
Size: 1.59MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/5000
Av: F/11
FL: 432mm
Size: 1.49MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/10000
Av: F/11
FL: 432mm
Size: 1.32MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/12500
Av: F/11
FL: 432mm
Size: 1.27MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/16667
Av: F/11
FL: 432mm
Size: 1.20MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/20000
Av: F/11
FL: 432mm
Size: 1.20MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/25000
Av: F/11
FL: 432mm
Size: 1.18MB
Halogen (DC) lamp, zoomed to achieve higher F-number
Tv: 1/33333
Av: F/11
FL: 432mm
Size: 1.11MB
The sun
Tv: 1/2500
Av: F/8
FL: 36mm
Size: 2.64MB
The sun
Tv: 1/3333
Av: F/8
FL: 36mm
Size: 2.51MB
The sun
Tv: 1/5000
Av: F/8
FL: 36mm
Size: 2.26MB
The sun
Tv: 1/10000
Av: F/8
FL: 36mm
Size: 1.85MB
The sun
Tv: 1/12500
Av: F/8
FL: 36mm
Size: 1.72MB
The sun
Tv: 1/16667
Av: F/8
FL: 36mm
Size: 1.60MB
The sun
Tv: 1/20000
Av: F/8
FL: 36mm
Size: 1.54MB
The sun
Tv: 1/25000
Av: F/8
FL: 36mm
Size: 1.51MB
The sun
Tv: 1/33333
Av: F/8
FL: 36mm
Size: 1.45MB
The sun, 'closeup'. Free sensor dust specs included
Tv: 1/33333
Av: F/11
FL: 432mm
Size: 2.59MB