Understanding Default IP Address for a Router with Assigned IP and Subnet Mask

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SUMMARY

The default IP address for a router assigned the IP address 00001010.11111110.00000001.00001001 with a subnet mask of 11111111.11111111.11111111.11111000 is 00001010.11111110.00000001.00001110. This conclusion is based on the understanding that the subnet mask allows for a specific range of addresses, and in this case, the mask indicates a /29 subnet. It is essential to note that switches typically operate at Layer 2 and do not require IP addresses for their ports, except for management purposes.

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jekyllz
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If we assign the IP address 00001010.11111110.00000001.00001001 and the subnet mask 11111111.11111111.11111111.11111000 to a switch, what is the default IP address for the router?

Answer: 00001010.11111110.00000001.00001110

Why? Why 00001010.11111110.00000001.00001110 and not something else?
 
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could you pls provide more context to the question? The IP address in your answer is correct, but it is not the only correct possibility.

First of all, switch is a L2 device, there are no IP addresses assigned to its ports (maybe just admin IP for remote management?) There exists L3 switches which operate at the network layer and needs IP addressing for their ports, but their usage is very specific. Is this your case?

Regardless the above, let me ask you question:
if you define a subnet with a mask 11111111.11111111.11111111.11111000 (/29), how many hosts (devices) you can actually address within that subnet?
 

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