How many /11 networks fit
| Parent block | Relationship |
|---|---|
| /8 | 8 × /11 fit inside one /8 |
| /16 | One /11 covers 32 × /16 |
| /24 | One /11 covers 8,192 × /24 |
One /11 is 32 × /16. Eight /11s make a /8, so it suits a plan with eight regions or business units.
Worked example: 172.20.15.3/11
Someone wrote a firewall rule for 172.16.0.0/11, thinking it was the private 172.16 range. Let's see what it really covers by working out the /11 that 172.20.15.3 belongs to.
- The mask is 255.224.0.0. The second octet (224) is the "interesting" one — the first that is not 255.
- Block size = 256 − 224 = 32. Networks start at multiples of 32 in the second octet: 0, 32, 64, …
- The second octet of 172.20.15.3 is 20. 20 ÷ 32 = 0 remainder 20, so the block starts at 0 × 32 = 0.
- Network = 172.0.0.0 (octets after the second become 0). Broadcast = 0 + 32 − 1 = 31, giving 172.31.255.255 (octets after it become 255).
- Usable hosts: 172.0.0.1 to 172.31.255.254, which is 221 − 2 = 2,097,150 addresses.
Same thing in binary (network bits | host bits):
Address 10101100.000|10100.00001111.00000011 Mask 11111111.111|00000.00000000.00000000 Network 10101100.000|00000.00000000.00000000
Where /11 is used in real networks
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Eight regions out of 10.0.0.0/8
10.0.0.0/11, 10.32.0.0/11, 10.64.0.0/11 … 10.224.0.0/11 give eight equal blocks of 32 /16s each, one per region or business unit.
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Reading other people's plans
Large ISPs and cloud providers publish ranges like this in their IP lists. Knowing the boundaries (multiples of 32) lets you sanity-check an allow list quickly.
Common /11 mistakes
- Writing
172.16.0.0/11for the private range. The real RFC 1918 block is172.16.0.0/12. A /11 has to start at a multiple of 32, so 172.16.0.0/11 becomes 172.0.0.0/11 — which includes public addresses 172.0.0.0 to 172.15.255.255. - Assuming a /11 is "a bit bigger than a /12". It is exactly twice the size; every bit you remove from the prefix doubles the block.
- Hand-converting 255.224.0.0 to a wildcard and getting 0.32.255.255. The correct wildcard is 0.31.255.255 (255 − 224 = 31).
/11 FAQ
How many usable hosts are in a /11?
2,097,150. That is 2^21 = 2,097,152 addresses minus network and broadcast.
Is 172.16.0.0/11 a private range?
No. The private range is 172.16.0.0/12 (172.16.0.0 to 172.31.255.255). A /11 starting near there is actually 172.0.0.0/11, which includes public IPs.
What are valid /11 network addresses?
The second octet must be a multiple of 32: x.0.0.0, x.32.0.0, x.64.0.0, x.96.0.0, x.128.0.0, x.160.0.0, x.192.0.0 or x.224.0.0.