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Answer:

To determine the appropriate subnet mask for a network that needs 126 hosts, you can use the formula \(2^n - 2\), where \(n\) is the number of host bits. The "-2" accounts for the network and broadcast addresses.

In this case, you need at least 7 host bits (\(2^7 - 2 = 126\)). The remaining bits will be used for the network portion.

A common subnet mask for this requirement is 255.255.255.128, as it has 7 host bits (32 - 7 = 25 bits for the network).

So, the subnet mask would be 255.255.255.128 for a network that needs 126 hosts.

Answer: 255.255.255.128 (11111111.11111111. 11111111.10000000 in binary)

Explanation:

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