Shaul Karl said:
> I guess that the 8 in 10.0.0.0/8 is somehow connected to the subnet mask. 
> What 
> is the exact relation?

It's the number of 1s in the netmask.

> How would I compute the appropriate number for my 
> network?

If your netmask is 255.0.0.0, it's 8, 255.255.0.0 is 16, 255.255.255.0 is 24.
For other values, just render it in binary and count 1s until you reach a 0.

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