1. A supernetwork

2. Comparison of subnet, default,
and supernet masks

3. We need to make a supernetwork out of 16 class C blocks
We need to make a supernetwork out of 16 class C blocks. What is the supernet mask?
Solution
We need 16 blocks. For 16 blocks we need to change four 1s to 0s in the default mask. So the mask is or

4. A supernet has a first address of 205. 16. 32
A supernet has a first address of and a supernet mask of A router receives three packets with the following destination addresses:
Which packet belongs to the supernet?
We apply the supernet mask to see if we can find the beginning address.
AND 
AND 
AND 
Only the first address belongs to this supernet.

5. A supernet has a first address of 205. 16. 32
A supernet has a first address of and a supernet mask of How many blocks are in this supernet and what is the range of addresses?
Solution
The supernet has 21 1s. The default mask has 24 1s. Since the difference is 3, there are 23 or 8 blocks in this supernet. The blocks are to The first address is The last address is

6. Classless Addressing Number of Addresses in a Block Beginning Address
There is only one condition on the number of addresses in a block; it must be a power of 2 (2, 4, 8, . . .). A household may be given a block of 2 addresses. A small business may be given 16 addresses. A large organization may be given 1024 addresses.
Beginning Address
The beginning address must be evenly divisible by the number of addresses. For example, if a block contains 4 addresses, the beginning address must be divisible by 4. If the block has less than 256 addresses, we need to check only the rightmost byte. If it has less than 65,536 addresses, we need to check only the two rightmost bytes, and so on.

7. Which of the following can be the beginning address of a block that contains 16 addresses?
Solution
The address is eligible because 32 is divisible by 16. The address is eligible because 80 is divisible by 16.

8. Which of the following can be the beginning address of a block that contains 1024 addresses?
Solution
To be divisible by 1024, the rightmost byte of an address should be 0 and the second rightmost byte must be divisible by 4. Only the address meets this condition.

9. Mask and slash Notation
In subnetting, an organization is given a first address + a subnet mask
In supernetting, an organization is given a first address + a supernet mask
Similarly, in classless addressing it is given the first address + mask
X.Y.Z.W/16 means the mask is (class B)
X.Y.Z.W/17 means the mask is (own class)
CIDR (Classless Interdomain Routing)
Address is classless
Routing is interdomain

10. There are only 8 addresses in this block.
A small organization is given a block with the beginning address and the prefix length /29 (in slash notation). What is the range of the block?
Solution
The beginning address is To find the last address we keep the first 29 bits and change the last 3 bits to 1s.
Beginning: (24)
Ending : (33)
There are only 8 addresses in this block.

11. Finding the network address
What is the network address if one of the addresses is /27?
Solution
The prefix length is 27, which means that we must keep the first 27 bits as is and change the remaining bits (5) to 0s. The 5 bits affect only the last byte. The last byte is Changing the last 5 bits to 0s, we get or 64. The network address is /27.

12. Subnetting
An organization is granted the block /26. The organization needs to have four subnets. What are the subnet addresses and the range of addresses for each subnet?
Solution
The suffix length is 6. This means the total number of addresses in the block is 64 (26). If we create four subnets, each subnet will have 16 addresses.

13. Let us first find the subnet prefix (subnet mask)
Let us first find the subnet prefix (subnet mask). We need four subnets, which means we need to add two more 1s to the site prefix. The subnet prefix is then /28.
Subnet 1: /28 to /28.
Subnet 2 : /28 to /28.
Subnet 3: /28 to /28.
Subnet 4: /28 to /28.

14. Example
An ISP is granted a block of addresses starting with /16. The ISP needs to distribute these addresses to three groups of customers as follows:
1. The first group has 64 customers; each needs 256 addresses.
2. The second group has 128 customers; each needs 128 addresses.
3. The third group has 128 customers; each needs 64 addresses. Design the subblocks and give the slash notation for each subblock. Find out how many addresses are still available after these allocations.

15. Configuration for routing example

16. Mask Dest. Next Hop I. m0 m2 m1 m0 m0 m0 m0

17. Data structures and algorithms For Classless lookup
One major consideration is speed
Speed of finding next hop
Speed of making changes to values in the table
CIDR address is not self-identifying
Router cannot determine the subdivision between prefix and suffix by looking at the address
In Classfull addressing Hashing is used to optimize speed lookup, ( router extracts network portion and uses it as a hash key), if same hash function
Host key precedes
Subnet key precedes
Network key
Hashing does not work well in CIDR

18. Classless lookup Searching by mask length
Iterate over all possible divisions between prefix and suffix
Given a destination address D:
Algorithm tries using 32 bits of D, then 31 and so on …
For each possible size M, the router extracts M bits from D, assumes it contains a network prefix and looks up the prefix in the table
Worst case is 32 searches when no routes exists
To find a traditional class B address it needs 16 searches
And the default route for 31 searches

19. Classless lookup (cont.)
Searching using a binary trie structure
To avoid inefficient searches, classless routing tables are usually stored in a hierarchical data structure
A binary trie is a tree with paths determined by the data stored

20. Classless lookup (cont.)
Searching using a binary trie structure
A search for address fails because no entry in the trie with 100
Each exterior node in must contain a 32 bit address A and a mask M.
If search reaches an exterior node then conventional look up algorithm is used
What if there is more than
one prefix ???
In practice, routing table could
Have a network-specific route
And a particular subnet of the
Same network ????