A network technician is configuring a dedicated point-to-point wireless link between two e… — CompTIA Network+

A network technician is configuring a dedicated point-to-point wireless link between two enterprise buildings using the IPv4 subnet $192.168.10.16/28$ . What is the maximum number of usable host IPv4 addresses available for assignment to physical network interfaces in this subnet?

Answer: 14 hosts

Answer

The maximum number of usable host IPv4 addresses in a

/28

subnet is 14.

For a

/28

subnet, there are 4 host bits (

32 - 28 = 4

). Calculating total IP addresses yields

2^4 = 16

. Subtracting 2 reserved addresses (one network address and one broadcast address) leaves 14 usable host IPv4 addresses.

Step-by-Step Solution

Calculate the number of host bits available from the CIDR prefix

4 host bits (

32 - 28 = 4

)

An IPv4 address contains 32 bits in total, so subtracting the prefix length gives the remaining bits allocated for host addresses.

Calculate the total number of IP addresses in the subnet

16 total IP addresses (

2^4 = 16

)

The number of total IP combinations for

n

host bits is

2^n

Calculate the usable host address count by excluding reserved addresses

14 usable host IPv4 addresses (

16 - 2 = 14

)

The first IP address in the range is reserved as the network address, and the final IP address is reserved as the directed broadcast address.

Key Concept

Calculating Usable Host Addresses in an IPv4 Subnet

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