Fundamentals

Subnet Mask vs. CIDR Notation

How to convert between subnet masks (255.255.255.0) and CIDR prefix lengths (/24) — a complete conversion table and the math behind it.

Two ways to say the same thing

A subnet mask and a CIDR prefix length convey identical information — just in different formats.

CIDR Notation
/24
=
Subnet Mask
255.255.255.0
=
Binary
11111111.11111111
11111111.00000000

A subnet mask uses dotted-decimal notation where each 255 in an octet means all 8 bits are set to 1 (network bits), and 0 means all host bits. The CIDR prefix just counts those 1 bits: /24 means 24 bits are set — 255.255.255.0.

Complete conversion table /0–/32

CIDR Subnet Mask Wildcard Usable Hosts Common Use
/0 0.0.0.0 255.255.255.255 4,294,967,294 Default route
/8 255.0.0.0 0.255.255.255 16,777,214 Class A / 10.x.x.x
/12 255.240.0.0 0.15.255.255 1,048,574 172.16.0.0/12
/16 255.255.0.0 0.0.255.255 65,534 VPC / campus
/17 255.255.128.0 0.0.127.255 32,766 Half /16
/18 255.255.192.0 0.0.63.255 16,382 Quarter /16
/19 255.255.224.0 0.0.31.255 8,190 Large segment
/20 255.255.240.0 0.0.15.255 4,094 AWS default subnet
/21 255.255.248.0 0.0.7.255 2,046 Building network
/22 255.255.252.0 0.0.3.255 1,022 Medium segment
/23 255.255.254.0 0.0.1.255 510 Two /24s
/24 255.255.255.0 0.0.0.255 254 Standard subnet
/25 255.255.255.128 0.0.0.127 126 Half /24
/26 255.255.255.192 0.0.0.63 62 Quarter /24
/27 255.255.255.224 0.0.0.31 30 Small workgroup
/28 255.255.255.240 0.0.0.15 14 AWS NAT/endpoint
/29 255.255.255.248 0.0.0.7 6 Tiny cluster
/30 255.255.255.252 0.0.0.3 2 P2P link
/31 255.255.255.254 0.0.0.1 2 RFC 3021 P2P
/32 255.255.255.255 0.0.0.0 1 Single host

How to convert between them

CIDR → Subnet Mask

Count /prefix ones from the left in a 32-bit number:

For /26: 26 ones then 6 zeros = 11111111.11111111.11111111.11000000 = 255.255.255.192

Subnet Mask → CIDR

Count the 1 bits in the mask. 255.255.240.0 = 11111111.11111111.11110000.00000000 = 20 ones = /20