Subnetting Example 3

Convert decimal into binary

Example 3:

We have to find out binary value in given decimal number 192 and tell me which class it comes from ?

Note: You should always follow from left to right

Solution:

It comes from class C value given in above

Base position    2^7  2^6  2^5  2^4  2^3  2^2  2^1  2^0
Decimal value   128   64   32    16     8     4      2      1     
Binary value        1      1     0      0      0     0     0       0


After completing we can check by adding all "1"s given below;

128 + 64 = 192 

Rough note:

We can do this adding method given below;

Decimal calculations                                                         Bit in binary
128 is less than 192                                                                on the bit
128 + 64 = 192 is equivalent to 192                                        on the bit
128 + 64 + 32 = 224 is greater than 192                                 off the bit
128 + 64 + 0 + 16 = 208 is greater than 192                           off the bit
128 + 64 + 0 + 0 + 8 = 200 is greater than 192                       off the bit
128 + 64 + 0 + 0 + 0 + 4 = 196 is greater than 192                 off the bit
128 + 64 + 0 + 0 + 0 + 0 + 2 = 194 is greater than 192           off the bit
128 + 64 + 0 + 0 + 0 + 0 + 0 + 1 = 193 is greater than 192     off the bit

This is another way of doing through subtracting method which is done in a simple and easy way given below;

Decimal calculation                                                           Bit in binary
192 - 128 = 64 is less than 192                                               on the bit
64 - 64 = 0 is less than 192                                                     on the bit
0 - 32 cannot be subtracted                                                     off the bit
0 - 16 cannot be subtracted                                                     off the bit
0 - 8 cannot be subtracted                                                       off the bit
0 - 4 cannot be subtracted                                                       off the bit
0 - 2 cannot be subtracted                                                       off the bit
0 - 1 cannot be subtracted                                                       off the bit


Therefore, this is our binary value 11000000.