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Notation, Network size – ZyXEL Communications P-660H-Tx v2 User Manual

Page 275

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Appendix D IP Addresses and Subnetting

P-660H-Tx v2 User’s Guide

275

Subnet masks are expressed in dotted decimal notation just like IP addresses. The following
examples show the binary and decimal notation for 8-bit, 16-bit, 24-bit and 29-bit subnet
masks.

Network Size

The size of the network number determines the maximum number of possible hosts you can
have on your network. The larger the number of network number bits, the smaller the number
of remaining host ID bits.
An IP address with host IDs of all zeros is the IP address of the network (192.168.1.0 with a
24-bit subnet mask, for example). An IP address with host IDs of all ones is the broadcast
address for that network (192.168.1.255 with a 24-bit subnet mask, for example).
As these two IP addresses cannot be used for individual hosts, calculate the maximum number
of possible hosts in a network as follows:

Notation

Since the mask is always a continuous number of ones beginning from the left, followed by a
continuous number of zeros for the remainder of the 32 bit mask, you can simply specify the
number of ones instead of writing the value of each octet. This is usually specified by writing
a “/” followed by the number of bits in the mask after the address.
For example, 192.1.1.0 /25 is equivalent to saying 192.1.1.0 with subnet mask
255.255.255.128.
The following table shows some possible subnet masks using both notations.

Table 114 Subnet Masks

BINARY

DECIMAL

1ST

OCTET

2ND

OCTET

3RD

OCTET

4TH OCTET

8-bit mask

11111111

00000000

00000000

00000000

255.0.0.0

16-bit mask

11111111

11111111

00000000

00000000

255.255.0.0

24-bit mask

11111111

11111111

11111111

00000000

255.255.255.0

29-bit mask

11111111

11111111

11111111

11111000

255.255.255.248

Table 115 Maximum Host Numbers

SUBNET MASK

HOST ID SIZE

MAXIMUM NUMBER OF HOSTS

8 bits

255.0.0.0

24 bits

2

24

– 2

16777214

16 bits

255.255.0.0

16 bits

2

16

– 2

65534

24 bits

255.255.255.0

8 bits

2

8

– 2

254

29 bits

255.255.255.248 3 bits

2

3

– 2

6

Table 116 Alternative Subnet Mask Notation

SUBNET MASK

ALTERNATIVE

NOTATION

LAST OCTET

(BINARY)

LAST OCTET

(DECIMAL)

255.255.255.0

/24

0000 0000

0

255.255.255.128

/25

1000 0000

128