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Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink port.The minimum number of switches needed is______________.
    Correct answer is '3'. Can you explain this answer?
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    Consider that 15 machines need to be connected in a LAN using 8-port E...

    ∴ To connect 15 machines in a LAN using 8-port Ethernet switches, we require 3 switches.
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    Consider that 15 machines need to be connected in a LAN using 8-port E...
    Explanation:

    To connect 15 machines in a LAN using 8-port Ethernet switches, we need to calculate the number of switches required.

    Each 8-port switch can connect 8 machines, so we need to calculate how many switches are required to connect all 15 machines.

    Calculation:

    Number of machines to be connected = 15

    Number of ports in each switch = 8

    Number of switches required = (Number of machines to be connected / Number of ports in each switch)

    = (15/8)

    = 1.875

    As we cannot have a fractional part of a switch, we need to round up the value to the next integer, which is 2.

    So, if we use two 8-port switches, we can connect all 15 machines. But we need to consider that these switches do not have any separate uplink port.

    If we use two switches, we will not be able to connect the switches to each other. Hence, we need to add another switch to connect these two switches.

    Hence, the minimum number of switches needed is 3.

    Conclusion:

    To connect 15 machines in a LAN using 8-port Ethernet switches, the minimum number of switches needed is 3.
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    Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink port.The minimum number of switches needed is______________.Correct answer is '3'. Can you explain this answer?
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