Here's table showing the relationship between the / notation, the byte
notation, and the corresponding binary numbers (with a dot every eight
digits) for the 32 bit addresses.


/ Notation   Binary                               Byte Notation
----------   -----------------------------------  --------------
/0           00000000.00000000.00000000.00000000  0.0.0.0
/1           10000000.00000000.00000000.00000000  128.0.0.0
/2           11000000.00000000.00000000.00000000  192.0.0.0
/3           11100000.00000000.00000000.00000000  224.0.0.0
/4           11110000.00000000.00000000.00000000  240.0.0.0
/5           11111000.00000000.00000000.00000000  248.0.0.0
/6           11111100.00000000.00000000.00000000  252.0.0.0
/7           11111110.00000000.00000000.00000000  254.0.0.0
/8           11111111.00000000.00000000.00000000  255.0.0.0
/9           11111111.10000000.00000000.00000000  255.128.0.0
/10          11111111.11000000.00000000.00000000  255.192.0.0
/11          11111111.11100000.00000000.00000000  255.224.0.0
/12          11111111.11110000.00000000.00000000  255.240.0.0
/13          11111111.11111000.00000000.00000000  255.248.0.0
/14          11111111.11111100.00000000.00000000  255.252.0.0
/15          11111111.11111110.00000000.00000000  255.254.0.0
/16          11111111.11111111.00000000.00000000  255.255.0.0
/17          11111111.11111111.10000000.00000000  255.255.128.0
/18          11111111.11111111.11000000.00000000  255.255.192.0
/19          11111111.11111111.11100000.00000000  255.255.224.0
/20          11111111.11111111.11110000.00000000  255.255.240.0
/21          11111111.11111111.11111000.00000000  255.255.248.0
/22          11111111.11111111.11111100.00000000  255.255.252.0
/23          11111111.11111111.11111110.00000000  255.255.254.0
/24          11111111.11111111.11111111.00000000  255.255.255.0
/25          11111111.11111111.11111111.10000000  255.255.255.128
/26          11111111.11111111.11111111.11000000  255.255.255.192
/27          11111111.11111111.11111111.11100000  255.255.255.224
/28          11111111.11111111.11111111.11110000  255.255.255.240
/29          11111111.11111111.11111111.11111000  255.255.255.248
/30          11111111.11111111.11111111.11111100  255.255.255.252
/31          11111111.11111111.11111111.11111110  255.255.255.254
/32          11111111.11111111.11111111.11111111  255.255.255.255

Here's and example of how to get from the binary number 11000000 to
the decimal number (192). 

11000000 =>  128*1 + 64*1 + 32*0 + 16*0 + 8*0 + 4*0 + 2*0 + 1*0
             = 128 + 64   + 0    + 0    + 0   + 0   + 0   +   0
             = 128 + 64
             = 192

Another example (using an arbitrarily chosen binary number):

10000100 => 128*1 + 64*0 + 32*0 + 16*0 + 8*0 + 4*1 + 2*0 + 1*0
            = 128 + 0    + 0    + 0    + 0   + 4   + 0   +   0
            = 128 + 4
            = 132
   




        -----Original Message-----
        From:   David Lang [SMTP:[EMAIL PROTECTED]]
        Sent:   Thursday, June 10, 1999 9:51 PM
        To:     Jules
        Cc:     [EMAIL PROTECTED]
        Subject:        Re: IP significant bit addresses

        -----BEGIN PGP SIGNED MESSAGE-----

        the /number showes you the netmask. technicly it is the number of
"1"'s in
        the netmask starting from the left (if the netmask was shown in
binary).

        common examples are

        /0 = 0.0.0.0 = all IP addresses
        /8 = 255.0.0.0
        /16 = 255.255.0.0
        /24 = 255.255.255.0
        /32 = 255.255.255.255 = one machine
        this is most commonly used when you have an "odd" netmask for
        subnet/supernets

        A couple expamples That I use
        /23 - 255.255.254.0 = 2 class C networks refered to as one network,
        simplifies rules and gaines use of 2 IP addresses (the .0 and .255
in the
        middle of the range are not special addresses)

        /30 = 255.255.255.252 = 4 IP addresses, used for point-to-point
links (one
        address is the network address, one for each end of the link, and
one
        broadcast address)

        David Lang


        On Wed, 9 Jun 1999, Jules wrote:

        > Date: Wed, 9 Jun 1999 19:12:32 +0800 (MYT)
        > From: Jules <[EMAIL PROTECTED]>
        > To: [EMAIL PROTECTED]
        > Subject: IP significant bit addresses
        > 
        > 
        > This is a newbie question, I've checked almost every resource
available to
        > me, but I still don't really grasp this concept, so if anyone can
clarify
        > it for me, I'd be grateful.
        > 
        > How does one read addresses like 172.168.10/24 or 172.16.51.50/32
?
        > 
        > In particular, what does the slash signify what does it do in the
above
        > case(s).
        > 
        > If this is anywhere off topic for the list, personal e-mail will
do too.
        > Thanks in advance.
        > 
        > Cheers!
        > -J
        > 
        > -
        > [To unsubscribe, send mail to [EMAIL PROTECTED] with
        > "unsubscribe firewalls" in the body of the message.]
        > 

        "If users are made to understand that the system administrator's job
is to
        make computers run, and not to make them happy, they can, in fact,
be made
        happy most of the time. If users are allowed to believe that the
system
        administrator's job is to make them happy, they can, in fact, never
be made
        happy." 
        - -Paul Evans (as quoted by Barb Dijker in "Managing Support Staff",
LISA '97)

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