A solution I was given for this question...
*THE CIDR block includes all addresses of the form 1010 1010 0001 **** **** **** **** **** (where * may be 0 or 1). Thus this block represents the IP addresses from 172.16.0.0 to 172.31.255.255. The netid is 1010 1010 0001 and the CIDR block contains 2^20 addresses.*
I fully understand that the CIDR block has 2^20 host ID addresses and that it is in a Class B network. I thought I could simply state that the netid is 172.16 but I am meant to provide it in binary form, however I cannot understand how this translates to 1010 1010 0001.
I understand that 00010000 represents 16 and I understand why there are only 12 bits of the netid but I don't understand where 1010 1010 came from as this represents 170. I would have put 1010 1100 representing 172.
I also don't understand how the block represents the IP addresses from 172.16.0.0 to 172.31.255.255. I have done alot of research on the internet but I can't seem to find anything that will help out.
If anyone could possibly provide an explanation I would really appreciate it.