.How many IP addresses can be assigned to hosts in subnet 192.168.12.64/26?
Correct Answer: B
Subnet 192.168.12.64/26 has 62 IP addresses that can be assigned to hosts.
The formula to calculate the available number of hosts is:
2n – 2 = x
Where n = the number of host bits in the subnet mask and x = the number of possible hosts.
You will subtract 2 from the hosts calculation to remove the first address (the network ID) and the last address (the broadcast ID) from the valid hosts range. These addresses are
reserved as the network ID and the broadcast address, respectively, in each subnet.
An IP address has 32 available bits divided into four octets. In this scenario, the /26 indicates that the subnet mask is 26 bits long, or that 26 bits are reserved for the network portion of
the address. This leaves 6 bits for the host addresses (32 – 26 = 6). The number of host addresses would be calculated as follows:
Number of hosts = 26 – 2
Number of hosts = 64 – 2 = 62
Another simple way of determining the number of hosts in a range, when the subnet mask extends into the last octet, is to determine the decimal value of the last bit in the subnet
mask after converting it to binary notation. This process only works when the subnet extends into the last octet, meaning that the subnet is greater than /24. The /26 subnet mask
equals 26 network bits and 6 hosts bits, written as follows:
The 1s represent network bits and the 0s represent host bits.
In this example, the 26th bit (read from left to right) has a decimal value of 64, indicating that this subnet has 64 addresses. Subtract 2 to represent the network and broadcast
addresses (64 – 2 = 62). This shows that this subnet range can be used to address 62 hosts.
Network address: 192.168.12.0
Subnet Mask in decimal: 255.255.255.192
Subnet Mask in binary: 11111111.11111111.11111111.11000000
Hosts: 64 – 2 = 62
For subnet 192.168.12.64, the valid host range will start from 192.168.12.65 to 192.168.12.126. For the next subnet 192.168.12.128, the valid host range will start from
192.168.12.129 to 192.168.12.190.
To construct a subnet that would contain 32 addresses would require using a mask of 255.255.255.224. This mask would leave 5 host bits, and 25 – 2 = 32.
To construct a subnet that would contain 128 addresses would require using a mask of 255.255.255.128. This mask would leave 7 host bits, and 27 – 2 = 128.
To construct a subnet that would contain 256 addresses would require using a mask of 255.255.255.0. This mask would leave 8 host bits, and 2(8) – 2 = 256.
Configure, verify, and troubleshoot IPv4 addressing and subnetting
Cisco > Design Tech Notes > IP Routing > IP Addressing and Subnetting for New Users > Understanding IP Addresses > Document ID: 13788
Nooning, Thomas. “TechRepublic Tutorial: Subnetting a TCP/IP Network.” TechRepublic, 20 May 2003.