AxiomBlueprint

CIDR subnet mask table, /8 to /32

The prefix length is how many leading bits of the address are the network. Everything else follows from it: the mask, the wildcard, and how many hosts fit.

The table

PrefixSubnet maskWildcard maskAddressesUsable hosts
/8255.0.0.00.255.255.25516,777,21616,777,214
/9255.128.0.00.127.255.2558,388,6088,388,606
/10255.192.0.00.63.255.2554,194,3044,194,302
/11255.224.0.00.31.255.2552,097,1522,097,150
/12255.240.0.00.15.255.2551,048,5761,048,574
/13255.248.0.00.7.255.255524,288524,286
/14255.252.0.00.3.255.255262,144262,142
/15255.254.0.00.1.255.255131,072131,070
/16255.255.0.00.0.255.25565,53665,534
/17255.255.128.00.0.127.25532,76832,766
/18255.255.192.00.0.63.25516,38416,382
/19255.255.224.00.0.31.2558,1928,190
/20255.255.240.00.0.15.2554,0964,094
/21255.255.248.00.0.7.2552,0482,046
/22255.255.252.00.0.3.2551,0241,022
/23255.255.254.00.0.1.255512510
/24255.255.255.00.0.0.255256254
/25255.255.255.1280.0.0.127128126
/26255.255.255.1920.0.0.636462
/27255.255.255.2240.0.0.313230
/28255.255.255.2400.0.0.151614
/29255.255.255.2480.0.0.786
/30255.255.255.2520.0.0.342
/31255.255.255.2540.0.0.122
/32255.255.255.2550.0.0.011

Worked example

Network 192.168.1.130 with a /26 mask. Block size is 2^(32-26) = 64. The network starts at the largest multiple of 64 not above 130, which is 128, so the network address is 192.168.1.128 and the broadcast address is 128 + 63 = 192.168.1.191. Usable hosts are 64 - 2 = 62, from .129 to .190.

Questions

How many usable hosts are in a /24?

A /24 has 256 addresses. Two are reserved (network and broadcast), so 254 are usable.

Why does a /31 show 2 usable hosts?

On point-to-point links a /31 uses both addresses as hosts (RFC 3021), so nothing is reserved. A /32 is a single host address.

How do I find the prefix for a number of hosts?

Add 2 to the hosts you need, round up to the next power of two, and subtract the exponent from 32. For 50 hosts: 52 rounds up to 64 = 2^6, so /26.

Numbers on this page are calculated by formula when the site is built and are planning aids, not tax or engineering advice. How we check.