/3 subnet calculator (224.0.0.0)
A /3 prefix fixes the first 3 bits of the address, leaving 29 bits for hosts. That gives 536,870,912 addresses in the block.
Usable hosts per subnet
536 870 910
- Total addresses in the block
- 536 870 912
- Mask octet 1
- 224
- Mask octet 2
- 0
- Mask octet 3
- 0
- Mask octet 4
- 0
- Usable hosts across all the blocks
- 536 870 910
- Blocks needed for the hosts you listed
- 1
- Spare addresses in one block
- 536 870 860
- Utilisation of one block
- 0.00 %
- How many fit inside a /24
- 0
Show the working
- Number of these subnets = 1
- Hosts you need to fit = 50
- prefix = 3 = 3
- host_bits = 32 - 3 = 29
- Total addresses in the block = 2^29 = 536 871 000
- Usable hosts per subnet = 3 >= 31 ? (3 == 31 ? 2 : 1) : 536 871 000 - 2 = 536 871 000
- mask_value = 2^32 - 2^29 = 3 758 100 000
- Mask octet 1 = floor(3 758 100 000 / 2^24) = 224
- Mask octet 2 = floor(3 758 100 000 / 2^16) % 256 = 0
- Mask octet 3 = floor(3 758 100 000 / 2^8) % 256 = 0
- Mask octet 4 = 3 758 100 000 % 256 = 0
- total_addresses = 536 871 000 * 1 = 536 871 000
- Usable hosts across all the blocks = 536 871 000 * 1 = 536 871 000
- Blocks needed for the hosts you listed = 536 871 000 > 0 ? ceil(50 / 536 871 000) : 0 = 1
- Spare addresses in one block = 536 871 000 - 50 = 536 871 000
- Utilisation of one block = 536 871 000 > 0 ? 50 / 536 871 000 * 100 : 0 = 0.000 009 313 23
- How many fit inside a /24 = 3 >= 24 ? 2^(3 - 24) : 0 = 0
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
Scenarios & local history
Compare a saved scenario
Recent calculations
The formula
- host bits = 32 - prefix length
- total addresses = 2^host bits
- usable hosts = total - 2, reserving the network and broadcast addresses
- mask = 2^32 - 2^host bits, written as four octets
The two reserved addresses are the all-zeros network address and the all-ones broadcast address.
RFC 3021 makes a /31 usable as a two-address point-to-point link with no broadcast, and a /32 is a single host route. Both are special-cased here.
This is IPv4. IPv6 does not reserve a broadcast address, so an IPv6 prefix has 2^(128 - n) usable addresses.
This prefix at a glance
| Property | Value |
|---|---|
| CIDR | /3 |
| Subnet mask | 224.0.0.0 |
| Wildcard mask | 31.255.255.255 |
| Total addresses | 536,870,912 |
| Usable hosts | 536,870,910 |
| Host bits | 29 |
Frequently asked
How many hosts are in a /3?
536,870,910 usable hosts, out of 536,870,912 total addresses.
What subnet mask is a /3?
224.0.0.0, with a wildcard mask of 31.255.255.255.
Where the numbers come from
- Address arithmetic follows RFC 4632 (CIDR) and RFC 3021 for the /31 case.