Notation, Network size – ZyXEL Communications ZyXEL Dimension ES-2108 User Manual

Page 263

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ES-2108 Series User’s Guide

Appendix B IP Addresses and Subnetting

263

Subnet masks can be referred to by the size of the network number part (the bits with a “1”
value). For example, an “8-bit mask” means that the first 8 bits of the mask are ones and the
remaining 24 bits are zeroes.

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.

Table 85 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 86 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

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