Kernaali ToolsPrefix, mask and capacity
Use the prefix to select an address-block size. Counts below describe arithmetic capacity; special-use reservations and platform rules can reduce what you may assign.
| Prefix | Netmask | Addresses | Usable* |
|---|---|---|---|
| /0 | 0.0.0.0 | 4,294,967,296 | 4,294,967,294 |
| /1 | 128.0.0.0 | 2,147,483,648 | 2,147,483,646 |
| /2 | 192.0.0.0 | 1,073,741,824 | 1,073,741,822 |
| /3 | 224.0.0.0 | 536,870,912 | 536,870,910 |
| /4 | 240.0.0.0 | 268,435,456 | 268,435,454 |
| /5 | 248.0.0.0 | 134,217,728 | 134,217,726 |
| /6 | 252.0.0.0 | 67,108,864 | 67,108,862 |
| /7 | 254.0.0.0 | 33,554,432 | 33,554,430 |
| /8 | 255.0.0.0 | 16,777,216 | 16,777,214 |
| /9 | 255.128.0.0 | 8,388,608 | 8,388,606 |
| /10 | 255.192.0.0 | 4,194,304 | 4,194,302 |
| /11 | 255.224.0.0 | 2,097,152 | 2,097,150 |
| /12 | 255.240.0.0 | 1,048,576 | 1,048,574 |
| /13 | 255.248.0.0 | 524,288 | 524,286 |
| /14 | 255.252.0.0 | 262,144 | 262,142 |
| /15 | 255.254.0.0 | 131,072 | 131,070 |
| /16 | 255.255.0.0 | 65,536 | 65,534 |
| /17 | 255.255.128.0 | 32,768 | 32,766 |
| /18 | 255.255.192.0 | 16,384 | 16,382 |
| /19 | 255.255.224.0 | 8,192 | 8,190 |
| /20 | 255.255.240.0 | 4,096 | 4,094 |
| /21 | 255.255.248.0 | 2,048 | 2,046 |
| /22 | 255.255.252.0 | 1,024 | 1,022 |
| /23 | 255.255.254.0 | 512 | 510 |
| /24 | 255.255.255.0 | 256 | 254 |
| /25 | 255.255.255.128 | 128 | 126 |
| /26 | 255.255.255.192 | 64 | 62 |
| /27 | 255.255.255.224 | 32 | 30 |
| /28 | 255.255.255.240 | 16 | 14 |
| /29 | 255.255.255.248 | 8 | 6 |
| /30 | 255.255.255.252 | 4 | 2 |
| /31 | 255.255.255.254 | 2 | 2 |
| /32 | 255.255.255.255 | 1 | 1 |
Reading the table
A /28 has 16 addresses. An aligned block beginning at 10.42.9.80 ends at .95; its ordinary host range is .81–.94. Moving one row toward a longer prefix halves the address count.
* /31 assumes a point-to-point link with two endpoints. /32 identifies one host. Other rows subtract network and broadcast, even where the whole block includes addresses with special semantics. The /0 row is not an inventory of publicly usable hosts.
Boundary check
Within a partially masked octet, valid network boundaries are multiples of 256 minus that mask octet. A mask ending in 240 therefore steps by 16. The network is the lower boundary containing the input, not necessarily the input itself.
Technical references
Reviewed 9 September 2026. Found an issue? Send a correction with a reproducible example.