ZyXEL FSG1100HN User Guide - Page 117

Notation, Subnet Mask, Host Id, Maximum, Number Of, Hosts, Alternative, Last Octet, Binary, Decimal

Page 117 highlights

Appendix B IP Addresses and Subnetting As these two IP addresses cannot be used for individual hosts, calculate the maximum number of possible hosts in a network as follows: Maximum Host Numbers SUBNET MASK HOST ID SIZE 8 bits 16 bits 24 bits 29 bits 255.0.0.0 255.255.0.0 255.255.255.0 255.255.255.248 24 bits 16 bits 8 bits 3 bits 224 - 2 216 - 2 28 - 2 23 - 2 MAXIMUM NUMBER OF HOSTS 16777214 65534 254 6 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. Alternative Subnet Mask Notation SUBNET MASK 255.255.255.0 255.255.255.128 255.255.255.192 255.255.255.224 255.255.255.240 255.255.255.248 255.255.255.252 ALTERNATIVE NOTATION /24 /25 /26 /27 /28 /29 /30 LAST OCTET (BINARY) 0000 0000 1000 0000 1100 0000 1110 0000 1111 0000 1111 1000 1111 1100 LAST OCTET (DECIMAL) 0 128 192 224 240 248 252 FSG1100HN User's Guide 117

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Appendix B IP Addresses and Subnetting
FSG1100HN User’s Guide
117
As these two IP addresses cannot be used for individual hosts, calculate the
maximum number of possible hosts in a network as follows:
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
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.
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
255.255.255.192
/26
1100 0000
192
255.255.255.224
/27
1110 0000
224
255.255.255.240
/28
1111 0000
240
255.255.255.248
/29
1111 1000
248
255.255.255.252
/30
1111 1100
252