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To determine how many IP addresses can be assigned to hosts in a class C network segment with a subnet mask of 255.255.255.192, we need to follow these steps:
1. Identify the subnet mask in binary:
The subnet mask 255.255.255.192 can be expressed in binary as:
`11111111.11111111.11111111.11000000`
2. Calculate the number of bits for hosts:
In the subnet mask above, there are 26 bits (the first 26 are 1s) used for the network portion, leaving 6 bits (the last 6 are 0s) for the host portion.
3. Calculate the number of usable host IP addresses:
The formula to calculate the number of usable IP addresses is:
[2^{text{number of host bits}} – 2]
Here, the -2 accounts for the network and broadcast addresses which cannot be assigned to hosts.
Applying the formula:
[2^6 – 2 = 64 – 2 = 62]
Therefore, in a Class C network segment with a subnet mask of 255.255.255.192, you can assign 62 usable IP addresses to hosts.