What is the smallest network mask that can support 200 connected devices?

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Prepare for the CCNA Introduction to Networks Exam. Enhance your understanding with flashcards and multiple-choice questions, each supported by hints and explanations to ensure you're exam-ready!

Multiple Choice

What is the smallest network mask that can support 200 connected devices?

Explanation:
To determine the smallest network mask that can support 200 connected devices, it is necessary to understand how network masks work in terms of host addresses. A network mask defines how many bits are allocated for the network address and how many are reserved for host addresses. The total number of usable addresses on a subnet can be calculated as \(2^h - 2\), where \(h\) is the number of bits reserved for hosts. The subtraction of 2 accounts for the network address and the broadcast address, which cannot be assigned to hosts. Starting with the network masks listed: 1. A mask of 255.255.255.128 (or /25) has 7 bits available for host addresses, allowing for \(2^7 - 2 = 126\) usable addresses, which is insufficient for 200 devices. 2. A mask of 255.255.255.0 (or /24) offers 8 bits for hosts, resulting in \(2^8 - 2 = 254\) usable addresses. This is adequate for 200 devices. 3. A mask of 255.255.254.0 (or /23) provides 9 bits for hosts, yielding \(2^9 -

To determine the smallest network mask that can support 200 connected devices, it is necessary to understand how network masks work in terms of host addresses.

A network mask defines how many bits are allocated for the network address and how many are reserved for host addresses. The total number of usable addresses on a subnet can be calculated as (2^h - 2), where (h) is the number of bits reserved for hosts. The subtraction of 2 accounts for the network address and the broadcast address, which cannot be assigned to hosts.

Starting with the network masks listed:

  1. A mask of 255.255.255.128 (or /25) has 7 bits available for host addresses, allowing for (2^7 - 2 = 126) usable addresses, which is insufficient for 200 devices.

  2. A mask of 255.255.255.0 (or /24) offers 8 bits for hosts, resulting in (2^8 - 2 = 254) usable addresses. This is adequate for 200 devices.

  3. A mask of 255.255.254.0 (or /23) provides 9 bits for hosts, yielding (2^9 -

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