There is something wrong here. A broadcast of 10.0.0.255 is wrong for a subnet mask of 255.255.255.240 and an address of 10.0.0.12.


The best way to see what's going on is to convert the subnet mask to binary:
11111111.11111111.11111111.11111000

This results in a string of 1's followed by a string of 0's. That will always be the case. Where we have 1's, the bits are the network number. Where we have 0's the bits are the host number.

In this case the host number can range from 0 to 15. But you can't use 0, that's the network. And you can't use 15, that's the broadcast address. So 1 - 14 are available as host numbers. So your broadcast address should be 10.0.0.15.

A broadcast address of 10.0.0.255 would be the default for a class A and this implies that your netmask is 255.255.255.0 which is also the default for a class A. So maybe your host is misconfigured. Or maybe your information about what the subnet mask should be is wrong. 255.255.255.240 is an odd choice for a class A.

A couple more examples to illustrate a confusing point. Let's say that your mask is 255.255.255.240 and your address is 10.37.55.12. It probably won't be too mush of a surprise that your broadcast address will be 10.37.55.15.

But what if your mask is 255.255.255.240 and your address is 10.0.0.204? Here your host number is still 12 but the network number has dribbled into the final octet. That 204 comes from 128 + 64 +12. Now the broadcast would be 10.0.0.207.