I thought I mastered binary that I could even solve them by looking at it. How 
wrong! Personally I had no problems with binary maths and every time I saw it 
on my CCNA or CCNP exam I knew that they are my soft points. It seems the way 
the instructor does binary tricks me somehow and I happen not to follow.
 
For example, I don’t understand why he would break 7 contiguous subnets into 
three or more options when summarising them? Let’s take 172.16.31.0 – 
172.16.37.0 subnets. My understanding is that you convert all to binary and 
look at the pattern ( common bits) and then come up with summary address. Since 
the 1st two octets are similar, we should concentrate on the third octet.
 
 
                              128        64           32           16           
8             4             2             1
172.16.31.0        0             0             0             1             1    
         1             1             1
172.16.32.0        0             0             1             0             0    
         0             0             0
172.16.33.0        0             0             1             0             0    
         0             0             1
172.16.34.0        0             0             1             0             0    
         0             1             0
172.16.35.0        0             0             1             0             0    
         0             1             1
172.16.36.0        0             0             1             0             0    
         1             0             0
172.16.37.0        0             0             1             0             0    
         1             0             1
 
Summary 172.16.0.0 /18?
 
Hope to hear from you all.
 
Regards,
 
Horongo
                                          
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