QuestionJuly 7, 2025

Your organization is issued the IPv6 prefix of 2001:db8:130f:48 by your service provider.With this prefix, how many bits are available for your organization to create 164 subnetworks if interface ID bits are not borrowed? 128 8 80 16

Your organization is issued the IPv6 prefix of 2001:db8:130f:48 by your service provider.With this prefix, how many bits are available for your organization to create 164 subnetworks if interface ID bits are not borrowed? 128 8 80 16
Your organization is issued the IPv6 prefix of 2001:db8:130f:48 by your service provider.With this prefix, how many bits are available for your
organization to create 164 subnetworks if interface ID bits are not borrowed?
128
8
80
16

Solution
4.6(238 votes)

Answer

64 Explanation 1. Determine the Prefix Length The given IPv6 prefix is 2001:db8:130f::48. This indicates a /64 prefix, meaning the first 64 bits are used for the network prefix. 2. Calculate Available Bits for Subnetting In IPv6, the standard interface ID is 64 bits. Since no interface ID bits are borrowed, the remaining bits available for subnetting are 128 - 64 = 64 bits. 3. Verify Subnetwork Requirement To create 164 subnetworks, we need at least \lceil \log_2(164) \rceil = 8 bits (since 2^8 = 256, which is greater than 164). 4. Confirm Available Bits With 64 bits available for subnetting, using 8 bits for subnetworking is feasible.

Explanation

1. Determine the Prefix Length<br /> The given IPv6 prefix is $2001:db8:130f::48$. This indicates a /64 prefix, meaning the first 64 bits are used for the network prefix.<br /><br />2. Calculate Available Bits for Subnetting<br /> In IPv6, the standard interface ID is 64 bits. Since no interface ID bits are borrowed, the remaining bits available for subnetting are $128 - 64 = 64$ bits.<br /><br />3. Verify Subnetwork Requirement<br /> To create $164$ subnetworks, we need at least $\lceil \log_2(164) \rceil = 8$ bits (since $2^8 = 256$, which is greater than 164).<br /><br />4. Confirm Available Bits<br /> With 64 bits available for subnetting, using 8 bits for subnetworking is feasible.
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