Update 14. Subnetting (Part 2).md

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---
id: 1777871422-VTLQ
aliases:
- Subnetting (Part 2)
tags: []
---
# Subnetting (Part 2)
## Question
## Problem
45 hosts -> SW1->+--+<-SW3<-45 hosts
|R1|
45 hosts -> SW2->+--+<-SW4<-45 hosts
You have a network topology where each segment requires **45 hosts**:
Divide the 192.168.1.0/24 network into four subnets that can accommodate
the number of hosts required.
```
45 hosts -> SW1 -> R1 <- SW3 <- 45 hosts
45 hosts -> SW2 -> R1 <- SW4 <- 45 hosts
```
The first subnet (Subnet 1) is 192.168.1.0/26 What are the remaining subnet
You are given the network:
Hint: Find the broadcast address of Subnet 1. The next address is the network address of
Subnet 2. Repeat the process for Subnets 3 and 4
* **192.168.1.0/24**
Your task is to divide it into **4 subnets**, each capable of supporting at least 45 hosts.
---
## Step 1: Choose the Right Subnet Size
To support **45 hosts**, we need:
* ( 2^n - 2 \geq 45 )
* ( n = 6 ) → ( 2^6 - 2 = 62 ) hosts
So each subnet must be a **/26**.
---
## Step 2: Subnet Breakdown (/26)
Each subnet increases by **64 addresses**.
---
### Subnet 1
Subnet 1: 192.168.1.0/26
11000000.10101000.00000001.00**000000**
192 . 168 . 1 . 0
broadcast address:
11000000.10101000.00000001.00**111111**
192 . 168 . 1 . 63
* **Network:** 192.168.1.0/26
* **Range:** 192.168.1.0 192.168.1.63
* **Broadcast:** 192.168.1.63
192.168.1.0 to 192.168.1.63
Binary:
```
11000000.10101000.00000001.00 000000
```
---
### Subnet 2
Subnet 2: 192.168.1.64/26
11000000.10101000.00000001.01**000000**
192 . 168 . 1 . 64
11000000.10101000.00000001.01**111111**
192 . 168 . 1 . 127
* **Network:** 192.168.1.64/26
* **Range:** 192.168.1.64 192.168.1.127
* **Broadcast:** 192.168.1.127
192.168.1.63 to 192.168.1.127
---
### Subnet 3
Subnet 3: 192.168.1.128/26
11000000.10101000.00000001.10**000000**
192 . 168 . 1 . 128
11000000.10101000.00000001.10**111111**
192 . 168 . 1 . 191
* **Network:** 192.168.1.128/26
* **Range:** 192.168.1.128 192.168.1.191
* **Broadcast:** 192.168.1.191
192.168.1.128 to 192.168.1.191
---
### Subnet 4
Subnet 4: 192.168.1.192/26
11000000.10101000.00000001.11**000000**
192 . 168 . 1 . 192
11000000.10101000.00000001.11**111111**
192 . 168 . 1 . 255
* **Network:** 192.168.1.192/26
* **Range:** 192.168.1.192 192.168.1.255
* **Broadcast:** 192.168.1.255
192.168.1.192 to 192.168.1.255
---
### Trick
## Quick Trick 💡
By adding 64 the last bit of the network portion you can find the network address
Each subnet jumps by **64**:
## Subnetting
* 0 → 64 → 128 → 192
11000000.10101000.00000001.0**0000000**
192.168.255.0
Think of it like stepping stones across a river. Same stride, different landing spots.
11000000.10101000.11111111.1**0000000**
192.168.255.0
Borrowing 1 bit = can make 2 subnets
---
### Formulas
## Subnetting Basics
2^x = number of subnets
(x=number of 'borrowed' bits)
* **Number of subnets:**
( 2^x ) (x = borrowed bits)
2^n-2 = number of hosts
(x=number of hosts bits)
* **Number of hosts per subnet:**
( 2^n - 2 ) (n = host bits)
## Identify the subnet
---
What subnet does host 192.168.5.57/27 belong to?
11000000.10101000.00000101.00111001
192.168.5.57
The borrowed bits are
11000000.10101000.00000101.**001**11001
to find the network address we need to change the host bits by zero
11000000.10101000.00000101.**001**00000
192.168.5.32
What subnet does host 192.168.29.219/29 belong to?
11000000.10101000.00011101.**11011**011
192.168.29.219
to find the network address we need to change the host bits by zero
11000000.10101000.00011101.**11011**000
192.168.29.216
## Subnets / hosts (class C)
| Prefix Length | Number of subnets | Number of Hosts |
| ------------- | ----------------- | --------------- |
| /25 | 2 | 126 |
| /26 | 4 | 62 |
| /27 | 8 | 30 |
| /28 | 16 | 14 |
| /29 | 32 | 6 |
| /30 | 64 | 2 |
| /31 | 128 | 0 (2) |
| /32 | 156 | 0 (1) |
## Subenetting Class B
The process of subnetting Class A, Class B and Class C networks is :
Exactly the same !
## Identify the Subnet
### Example 1
You have been given the 172.16.0.0/16 network. You are asked to create 80
subnets for your company's various LANs, What prefix length should you use ?
**Host:** 192.168.5.57/27
172.16.0.0/16
* /27 → block size = 32
* Subnets: 0, 32, 64, ...
10101100.00010000.00000000.00000000
172 . 16 . 0 . 0
57 falls between **32 and 63**
We have to borrow 7 bits = 128 subnets
**Network:** 192.168.5.32/27
10101100.00010000.**0000000**0.00000000
172 . 16 . 0 . 0
---
### Example 2
You have been given the 172.22.0.0/16 network. You are asked to create 500
subnets for your company's various LANs, What prefix length should you use ?
**Host:** 192.168.29.219/29
172.22.0.0/16
* /29 → block size = 8
* Subnets: 0, 8, 16, ..., 216, 224
10101100.00010000.00000000.00000000
172 . 22 . 0 . 0
219 falls between **216 and 223**
We have to borrow 9 bits = 512 subnets = /25
**Network:** 192.168.29.216/29
10101100.00010000.**00000000.0**0000000
172 . 22 . 0 . 0
---
## Class C Reference Table
| Prefix | Subnets | Hosts |
| ------ | ------- | ----- |
| /25 | 2 | 126 |
| /26 | 4 | 62 |
| /27 | 8 | 30 |
| /28 | 16 | 14 |
| /29 | 32 | 6 |
| /30 | 64 | 2 |
---
## Subnetting Class B Networks
The method is exactly the same. Only the starting mask changes.
---
### Example 1
**Network:** 172.16.0.0/16
**Required subnets:** 80
* ( 2^7 = 128 ) → enough
* New prefix: **/23**
---
### Example 2
**Network:** 172.22.0.0/16
**Required subnets:** 500
* ( 2^9 = 512 )
* New prefix: **/25**
---
### Example 3
You have given the 172.18.0.0/16 network. Your company requires 250 subnets with the
same number of hosts per subnet. What prefix length should you use
**Network:** 172.18.0.0/16
**Required subnets:** 250
172.18.0.0
* ( 2^8 = 256 )
* New prefix: **/24**
10101100.00010000.00000000.00000000
172 . 18 . 0 . 0
---
We have to borrow 8 bits = 256 subnets = /24
## Class B Reference Table
10101100.00010000.**00000000**.00000000
172 . 18 . 0 . 0
| Prefix | Subnets | Hosts |
| ------ | ------- | ----- |
| /17 | 2 | 32766 |
| /18 | 4 | 16382 |
| /19 | 8 | 8190 |
| /20 | 16 | 4094 |
| /21 | 32 | 2046 |
| /22 | 64 | 1022 |
| /23 | 128 | 510 |
| /24 | 256 | 254 |
## Subnets / hosts (class B)
---
## Final Review
| Prefix Length | Number of subnets | Number of Hosts |
| ------------- | ----------------- | --------------- |
| /17 | 2 | 32766 |
| /18 | 4 | 16382 |
| /19 | 8 | 8190 |
| /20 | 16 | 4094 |
| /21 | 32 | 2044 |
| /22 | 64 | 1022 |
| /23 | 128 | 510 |
| /24 | 256 | 254 |
| /25 | 2 | 126 |
| /26 | 4 | 62 |
| /27 | 8 | 30 |
| /28 | 16 | 14 |
| /29 | 32 | 6 |
| /30 | 64 | 2 |
| /31 | 128 | 0 (2) |
| /32 | 156 | 0 (1) |
## Review
- Subnetting practice questions (class C networks)
- Subnetting Class B networks
* Subnetting is about **borrowing bits**
* Larger prefix = more subnets, fewer hosts
* Smaller prefix = fewer subnets, more hosts