7 Replies Latest reply: May 31, 2015 7:47 AM by ST

# How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

Hi,

Thanks for for reading this post. I am not too bad subnetting network. But I can't figure out if someone ask me (by providing ip addresss, broadcast address etc) how to determine how many subnets and hosts per subnet can you get? For example I have "Question: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?"

Is there any way to find out this?

Regards,

Laamash

• ###### 2. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

I am a little rusty on subnetting, but I will give it a shot.

10.0.0.0 is a class A network, in order to subnet from a /8 to a /20 (255.255.240.0) we must borrow 12 bits.

255.0.0.0 = 11111111.00000000.00000000.00000000
255.255.240.0 = 11111111.11111111.11110000.00000000

so based on the following formula, the number of subnets = 2^n where n is number of bits being borrowed. so 2^12 = 4096 subnets

to find number of host per subnet we can use this formula (2^n)-2 so 4096-2 = 4094 host per subnet.

• ###### 3. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

10.0.0.0 is a class A network and default mask is 255.0.0.0.

Step 1 - How 255.0.0.0 become 255.255.240.0?

From: 1111 1111. 0000 0000. 0000 0000. 0000 0000

To:     1111 1111. 1111 1111. 1111 0000. 0000 0000

By looking at the binary, you can tell that you have borrowed 12 bits of '1s' for subnetting.

After you determine the number of bits you have borrowed for subnetting, you the following formulas to find out the number of subnets and number of hosts per subnet

No. of subnet = 2^x = 2^12 = 4096 subnets

*** x refers to number of borrowed bits or the ones

No. of hosts per subnet = 2^y - 2 = 4096 - 2 = 4094 hosts per subnet

*** y refers to number of unborrowed bits or the zeros

Hope it helps.

• ###### 4. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

I think its worth pointing out that when counting the hosts you count up the Zeros in the subnet mask not the borrowed bits. This example kind of masks that because you are borrowing 12 bits from the host and you are left with 12 host bits as well.

however in a different example

say:

192.168.1.0 255.255.255.128

the regular mask for a class C network in binary is:

11111111.11111111.11111111.00000000

the new one is

11111111.11111111.11111111.10000000

we borrowed one bit so 2^n = 2^1 = 2 subnets

for the hosts we count the number of host bits left over (the zeros) so:

(2^n) - 2 = (2^7) -2 = 128 - 2 = 126 hosts.

• ###### 5. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

Regards from Laamash

• ###### 6. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

I think the best example I had from you so far. Thanks for your input here.

Regards,

Laamash

• ###### 7. Re: How many subnets and hosts per subnet can you get from the network 10.0.0.0 255.255.240.0?

2 to the power of 4 = 16 Subnets. 2 to the power of 12 = 4096 - 2 = 4094.