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A network administrator is configuring four devices: a server (S), a printer (P), a workstation (W). and a router's interface (R). Their IP addresses are assigned as follows:

  • Server (S): $192.168.50.78$
     
  • Printer (P): $192.168.50.97$
     
  • Workstation (W): $192.168.50.65$
     
  • Router (R): $192.168.50.94$

All devices are configured with the subnet mask 255.255.255.224. Which of the following statements accurately describes the network configuration?

  1. The Server, Workstation, and Router are on the same subnet, but the Printer is on a different one.
     
  2. The Server and Printer are on one subnet, and the Workstation and Router are on another.
     
  3. All four devices are on the same subnet.
     
  4. The Printer and Router are on the same subnet, but the Server and Workstation are on different subnets.

1 Answer

1 1 vote

The key to this problem is the subnet mask: 255.255 .255 .224 .

  • The first three octets ( 255.255 .255 ) are straightforward. The last octet, 224 , is where the division happens.
     
  • In binary, 224 is 11100000 . This means the first 3 bits of the last octet are used for the network address, and the last 5 bits are for host addresses.
     
  • The "magic number" or block size for this subnet mask is $256-224=32$. This means our subnets will be in blocks of 32 addresses.

Starting from 0 , we can map out the subnets for the $192.168 .50 . x$ network:

  • Subnet 1: 192.168.50.0 (Network ID) to 192.168.50.31 (Broadcast ID)
     
  • Subnet 2: 192.168 .50 .32 to 192.168 .50 .63
     
  • Subnet 3: 192.168 .50 .64 to 192.168 .50 .95
     
  • Subnet 4: 192.168 .50 .96 to 192.168 .50 .127 
     
  • ... and so on.

Now, we just need to see which range each device's IP address falls into:

  • Server (S): 192.168.50.78
     
  • 78 is between 64 and 95 , so it's in Subnet 3.
     
  • Workstation (W): 192.168.50.65
     
  • 65 is between 64 and 95, so it's in Subnet 3.
     
  • Router (R): 192.168.50.94
     
  • 94 is between 64 and 95 , so it's in Subnet 3.
     
  • Printer (P): 192.168.50.97
     
  • 97 is between 96 and 127 , so it's in Subnet 4 .

The Server, Workstation, and Router all share the same network address ( 192.168 .50 .64 ), placing them on the same subnet. The Printer has a different network address ( 192.168.50.96 ), putting it on a separate subnet.

Therefore, option A is the correct choice.

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