This topic is to discuss the following lesson:

Rene,

A good way to explain this subject that is a little confuse.

About challenge, I tried to solve itâ€¦

A network 10.0.0.0

One subnet for 600 hosts -> Itâ€™s need a block 1024

One subnet for 250 hosts. -> Itâ€™s need a block 256

One subnet for 120 hosts. -> Itâ€™s need a block 128

One subnet for 30 hosts. -> Itâ€™s need a block 32

One subnet for 2 hosts. -> Itâ€™s need a block 4

A block of 1024 is like 4x256, which is need 10 hosts bits.

Soâ€¦

Subnet 1: (size 1024)

network address: 10.0.0.0/22

netmask: 255.255.252.0

first host: 10.0.0.1

last host: 10.0.3.254

broadcast address: 10.0.3.255

Subnet 2: (size 250)

network address: 10.0.4.0/24

netmask: 255.255.255.0

first host: 10.0.4.1

last host: 10.0.4.254

broadcast address: 10.0.4.255

Subnet 3: (size 120)

network address: 10.0.5.0/25

netmask: 255.255.255.128

first host: 10.0.5.1

last host: 10.0.5.126

broadcast address: 10.0.5.127

Subnet 4: (size 30)

network address: 10.0.5.128/27

netmask: 255.255.255.224

first host: 10.0.5.129

last host: 10.0.5.158

broadcast address: 10.0.5.159

Subnet 5: (size 2)

network address: 10.0.5.160/30

netmask: 255.255.255.252

first host: 10.0.5.161

last host: 10.0.5.162

broadcast address: 10.0.5.163

I hope Iâ€™m rightâ€¦

When you have a free time, please, fix the details below.

â€śSubnet 2: 256 â€“ 32 = <>â€ť so the subnet mask is 255.255.255.224"

and

on subnet2 the last host IP should be 172.16.2.254

Hug and more a time, thanks for excellent work!!!

Hi Gabriel,

Your example is correct, good job! Also thanks for reporting those errors, just fixed them.

Rene

Rene,

Thanks!!!

Hug

Hi Rene,

Can you pls elaborate on how you got this subnet mask? I didnâ€™t get it. thanks

<>

Sure, which exact subnet mask do you refer to?

Subnet 1. 255.255.254.0

Subnet 1: this subnet is a block of â€ś512â€ť which is a combination of 2x â€ś256â€ť. A subnet with a size of 256 addresses normally has a subnet mask of 255.255.255.0 (/24). When we combine 2x 256 to get a 512 block, we give back one host bit so that means we have a /23 which is a subnet mask of 255.255.254.0.

Let me describe it this way, we know that a subnet mask of 255.255.255.0 has 256 addresses in total:

255.255.255.0 / 24 - 256 addresses

When we create smaller subnets, the list will be like this:

255.255.255.0 /24 - 256 addresses

255.255.255.128 /25 - 128 addresses

255.255.255.192 /26 - 64 addresses

255.255.255.224 /27 - 32 addresses

You can see that whenever the subnet becomes smaller, we can only use half of the addresses. I can apply the same logic if I move into the other direction:

255.255.240.0 /21 - 2048 addresses

255.255.248.0 /22 - 1024 addresses

255.255.254.0 /23 - 512 addresses

255.255.255.0 /24 - 256 addresses

Does this help?

Rene

Hi Iâ€™m having hard time figuring out the Subnet Mask, Hosts, Subnets, Network ID and Broadcast ID for the following IP Address. I hope someone can help me answers. Cheers!

150.12.110.10/25

112.10.78.40/22

50.1.112.10/21

28.10.145.10/18

150.50.50.50/23

100.10.185.10/20

172.16.221.10/19

Hi Lynkaran,

Iâ€™ll explain how to do the first example, see if you can solve them with my technique. Letâ€™s start with 112.10.78.40/22:

First we need to figure out what the subnet mask since /22 doesnâ€™t tell us much. You need to write this down in binary and convert it to decimal:

first 8 bits = 11111111 (255 in decimal)

next 8 bits = 11111111 (255 in decimal)

next 8 bits = 11111100 (252 in decimal)

next 8 bits = 00000000 (0 in decimal)

So now we know the **subnet mask is 255.255.252.0**

How many hosts do we have per subnet? There are 2 + 8 host bits so 10 host bits in total. You can use this formula for this:

2^{10} - 2 = **1024**.

You need to remove 2 since one address is the network address and the other one is the broadcast address.

What subnets do we have? Thereâ€™s a quick way to calculate this. Take number 256 - subnet mask = size of subnet:

256 - 252 = **4**

Now we can write down the subnets, Iâ€™ll start with 0:

#1 112.10.**0**.0/22

#2 112.10.**4**.0/22

#3 112.10.**8**.0/22

#4 112.10.**12**.0/22

#5 112.10.**16**.0/22

#6 112.10.**20**.0/22

#7 112.10.**24**.0/22

â€¦and so on

You can see it increases with **4** every time, you now have your network addresses. What about the broadcast address? Thatâ€™s the last address in each subnet.

For subnet #1 that will be 112.10.**3**.**255 **and for subnet #5 itâ€™s 112.10.1**9.255**.

See if you can do the other examples on your own with these steps. All you need is practice, practice, practice.

Hope this helps.

Rene

WOW! Awesome explanation! Thank you so much

Quick question how did you get this answer when the slash value is /22?

first 8 bits = 11111111 (255 in decimal)

next 8 bits = 11111111 (255 in decimal)

next 8 bits = 11110000 (240 in decimal)

next 8 bits = 00000000 (0 in decimal)

So now we know the **subnet mask is 255.255.240.0**

The value behind the slash are the number of bits that we use for the subnet mask:

11111111 11111111 11111100 00000

Those are 22 bits, when you convert it to decimal you get 255.255.252.0

Wouldnt it be 255.255.252.0?

The nearest classfull mask that is bigger then our /22 is /24. So we subtract 22 from 24 and we get 2. This digit is the power of 2 we need.

So as we get 2 we have to power up 2 by our result - 2.

2^2=4

Now we have to subtract this result (4) from 256(this is maximum quantity of subnet that we can get from 255 in netmask)

256-4=252.

So the result is /22 prefix is 255.255.252.0 netmask it is not the 255.255.240.0

Whoops, early morning error You are totally right, I just edited my calculations.

Hi Rene,

Why do you always consider the subnet with the largest number of hosts first ?

And then decide the block sizes of the smaller ones.

Why cant we do the other way round ?

Hi Vikas,

We do this because you can have issues with overlapping subnets. If you start with the largest subnets first and move on to the smaller ones then you wonâ€™t run into issues with overlapping addresses.

Rene

Hi,

Thank you for awesome explanation. It is helping me a lot for my ccna studies

I was solving a problem as stated:-

Network ip- 172.16.0.0

No. of host needed-120

subnet mask will be 255.255.255.128

CIDR notation will be /25

so ip address range will be from 172.16.0.0 to 172.16.0.128

have I solved problem correctly.

Hello Apurva.

That is exactly correct! Keep in mind as well that the first and last addresses in the range are the network and broadcast addresses respectively so you will have 126 addresses available for hosts.

I hope this has been helpful!

Laz

Hi Rene,

I was trying to figure out a way of â€śknowingâ€ť the amount of bits needed for huge hosts without the need of a calculator, like:

- 2^X-2= hosts (too complicated).

This way sorts the problem!

"

255.255.255.0 /24 â€“ 256 addresses

255.255.255.128 /25 â€“ 128 addresses

255.255.255.192 /26 â€“ 64 addresses

255.255.255.224 /27 â€“ 32 addresses

You can see that whenever the subnet becomes smaller, we can only use half of the addresses. I can apply the same logic if I move into the other direction:

255.255.240.0 /21 â€“ 2048 addresses

255.255.248.0 /22 â€“ 1024 addresses

255.255.254.0 /23 â€“ 512 addresses

255.255.255.0 /24 â€“ 256 addresses"

Thanks!