For /28 network, There (2^4)=16 Subnets with each having (2^4-2)=14 host (14 +1 Network ID+ 1Broadcast ID)=16
Subnets are
192.168.16.0
192.168.16.16
.....
192.168.16.128
192.168.16.144 (Above this network ID there will be address 192.168.16.143 which is a broadcast ID of Network 192.168.16.128
Shortcut to find
1.First calculate subnets (barrowed 4 bits 2^4=16 subnets) or 256-240 (16)
2. Then do a math (256/16)=16 subnets, if so (144/16)=9 subnets
so 144 is a subnet address and 143 is a broadcast address of previous network ID (128)
it means (128+16)144
For anyone still confused, I break it down a bit easier:
grab 192.168.16.143/28
10001111 is 143 in binary (the last octet is all we're worried about since it's /28).
Draw your line at /28, 1000 | 1111.
You remember how to get your network/broadcast, first/last?
Notice all 1's at the right of the line. That usually means that's your broadcast right?
And all 0's is your network.
So we can see that this is actually a broadcast.
1. Find the network address of 192.168.16.143 /28
- 240 = (128 64 32 16) 8 4 2 1 = 128 + 64 +32 +16
-> binary of 255.255.255.240: 1111 0000 (240)
-> binary of 192.168.16.143: 1000 1111 (143 = 128 + 8 + 4 +2 +1)
-> network address in binary: 1000 0000 (128)
-> network address: 192.168.16.128
2. Find the range:
- /28: 240 in subnet -> 255 - 240 = 15 hosts
- range of hosts: 192.168.16.128 to 192.168.16.143
- first usable: 192.168.16.129 and last usable: 192.168.16.142
-> 192.168.16.143 is a broadcast -> bad mask error
-----
Now practice together guys, please solve this
10.10.10.130 /27 is the bad mask
1. find the subnet mask
2. find the network address (find binary of 10.10.10.130 and /27)
3. find range, first usable, and last usable
Not A: it's possible to configure a private IP address on an interface
Not B: /28 is a prefix not a mask, and all routers support them
Not C: network addresses are always even numbers (host part all 0's)
D: broadcast addresses are always odd numbers (host part all 1's)
According to the mask 255.255.255.240 we take the last octet as reference and subtract to see the subnet increment: 256-240= 16. Then a multiple of 16 close to 143 is searched, in this case it is 144 which would be the following address of network and therefore 143 would be a broadcast address.
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