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As the network engineer, you are asks to design an IP subnet plan that calls for 5 subnets, with the largest subnet needing a minimum of 5000 hosts. Management requires that a single mask must be used throughout the Class B network. Which of the following is a public IP network and mask that would meet the requirements? a. 152.77.0.0/21b. 152.77.0.0/17c. 152.77.0.0/18d. 152.77.0.0/19

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  1. 29 November, 20:21
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    d) 152.77.0.0/19 (255.255.224.0)

    Explanation:

    If it is required to use a single mask throughout a Class B network, this means that by default, we have 16 bits as network ID, and the remaining 16 bits as host ID.

    If we need to set up 5 subnets and we need that the largest subnet can support a minimum of 5000 hosts, we need to divide these 16 bits from the Host ID part, as follows:

    Number of hosts = 5000

    We need to find the minimum power of 2 that meet this requirement:

    2ˣ - 2 = 5,000 ⇒ x = 13

    We have left only 3 bits from the original 16, and repeating the process, we find that we need to use the 3 bits in order to accommodate the 5 subnets,

    due to with 2 bits we could only support 4.

    So, we need that the address mask be, using the CIDR notation, / 19, as we need that the first three bits from the third byte to be part of the network ID.

    In decimal notation, it would be as follows:

    255.255.224.0
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