vote up 4 vote down star
5

I understand what CIDR is, and what it is used for, but I still can't figure out how to calculate it in my head. Can someone give a "for dummies" type explanation with examples?

flag

5 Answers

vote up 9 vote down check

CIDR (Classless Inter-Domain Routing, pronounced "kidder" or "cider" - add your own local variant to the comments!) is a system of defining the network part of an IP address (usually people think of this as a subnet mask). The reason it's "classless" is that it allows a way to break IP networks down more flexibly than their base class.

When IP networks were first defined, IPs had classes based on their binary prefix:

Class    Binary Prefix    Range                       Network Bits
A        0*               0.0.0.0-127.255.255.255     8
B        10*              128.0.0.0-191.255.255.255   16
C        110*             192.0.0.0-223.255.255.255   24
D        1110*            224.0.0.0-239.255.255.255
E        1111*            240.0.0.0-255.255.255.255

(Note that this is the source of people refering to a /24 as a "class C", although that's not a strictly true comparison because a class C needed to have a specific prefix)

These binary prefixed were used for routing large chunks of IP space around. This was inefficient because it resulted in large blocks being assigned to organizations who didn't necessarily need them, and also because Class Cs could only be assigned in 24 bit increments, meaning that routing tables could get unnessacerily large as multiple Class Cs were routed to the same location.

CIDR was defined to allow variable length subnet masks (VLSM) to be applied to networks. As the name applies, address groups, or networks, can be broken down into groups that have no direct relationship to the natural "class" they belong to.

The basic premise of VLSM is to provide the count of the number of network bits in a network. Since an IPv4 address is a 32-bit integer, the VLSM will always be between 0 and 32 (although I'm not sure in what instance you might have a 0-length mask).

The easiest way to get a toe hold in calculating VLSM/CIDR in your head is to understand the "natural" 8-bit boundaries:

CIDR    Dotted Quad
/8      255.0.0.0
/16     255.255.0.0
/24     255.255.255.0
/32     255.255.255.255

(By the way, it's perfectly legal, and fairly common in ACLs, to use a /32 mask. It simply means that you are refering to a single IP)

Once you grasp those, it's simple binary arithmetic to move up or down to get number of hosts. For instance, if a /24 has 256 IPs (let's leave off network and broadcast addresses for now, that's a different networking theory question), increasing the subnet by one bit (to /25) will reduce the host space by one bit (to 7), meaning there will be 128 IPs.

Here's a table of the last octet. This table can be shifted to any octet to get the dotted quad equivilent.

CIDR    Dotted Quad
/24     255.255.255.0
/25     255.255.255.128
/26     255.255.255.192
/27     255.255.255.224
/28     255.255.255.240
/29     255.255.255.248
/30     255.255.255.252
/31     255.255.255.254
/32     255.255.255.255

As an example of shifting these to another octet, /18 (which is /26 minus 8 bits, so shifted an octect) would be 255.255.192.0.

link|flag
Odd, I usually hear it pronounced "cider" – sparks May 27 at 13:55
I'm sure it's regional/organizational. I'm not sure if I heard someone call CIDR "kidder", but I know when I took LISP programming years ago the CDR function was called "kidder" by my prof, maybe I picked it up from there... – jj33 May 27 at 14:02
Just as additional data points: I've only heard "cider" and I was taught that CDR was "cudder". To each their own, I guess. :-) – Luke May 27 at 14:26
Yeah, our lisp was all cudders and cars as well. – sparks May 27 at 20:18
Great answer! PS.Class C is 192.0.0.0 – SaveTheRbtz Jun 17 at 22:58
show 2 more comments
vote up 2 vote down

Each octet is worth 8.

  • 255.0.0.0 /8
  • 255.255.0.0 /16
  • 255.255.255.0 /24
  • 255.255.255.255 /32

So you can quickly narrow down your subnet and then you're just worried about the last 8 bits.

128, 192, 224, 240, 248, 252, 254, 255

+1  , +2 , +3 , +4 , +5 , +6 , +7 , +8
  • 255.128.0.0 = /9
  • 255.192.0.0 = /10
  • 255.224.0.0 = /11
  • 255.240.0.0 = /12
  • 255.248.0.0 = /13
  • 255.252.0.0 = /14
  • 255.254.0.0 = /15

Hope thats clear enough

link|flag
vote up 1 vote down

On the contrary, I think it's good to completely understand CIDR and be able to do calculations in your brain... but sometimes you want to double check your calculations. I like to use the PHP Subnet Calculator: http://share-foo.com/SubnetCalc.php

alt text

link|flag
vote up 0 vote down

It is very error prone to calculate non trivial networks by hand. Try a CIDR Calculator instead.

link|flag
Who voted this down?! I totally agree, it's very easy to miscalculate CIDR ranges in your head, esp when converting, eg /23 to 255.255.254.0 form. I use the 'ipcalc' package on Debian to help me out. – Mike Pountney Jun 19 at 10:14
vote up 0 vote down

Another good document to have, if you just want a desk reference, is RFC 1878 - Variable Length Subnet Table For IPv4.

link|flag

Your Answer

Get an OpenID
or
never shown

Not the answer you're looking for? Browse other questions tagged or ask your own question.