Subnetting Example 4

Convert decimal into binary

Example 4:

We have to find out binary value in given decimal number 110 and tell me which class it comes from ?

Note: You should always follow from left to right

Solution:

It comes from class A 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         0      1     1       0      1     1     1       0


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

64 + 32 + 8 + 4 + 2 = 110 

Rough note:

We can do this adding method given below;

Decimal calculations                                                         Bit in binary
128 is greater than 110                                                           off the bit
0 + 64 = 64 is less than to 110                                                on the bit
0 + 64 + 32 = 96 is less than 110                                            on the bit
0 + 64 + 32 + 16 = 112 is greater than 110                             off the bit
0 + 64 + 32 + 0 + 8 = 104 is less than 110                              on the bit
0 + 64 + 32 + 0 + 8 + 4 = 108 is less than 110                        on the bit
0 + 64 + 32 + 0 + 8 + 4 + 2 = 110 is equivalent to 110            on the bit
0 + 64 + 32 + 0 + 8 + 4 + 2 + 1 = 111 is greater than 110       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
110 - 128 cannot be subtracted                                               off the bit
110 - 64 = 46 is less than 110                                                  on the bit
46 - 32 = 14 is less than 110                                                    on the bit
14 - 16 cannot be subtracted                                                   off the bit
14 - 8 = 6 is less than 110                                                        on the bit
6 - 4 = 2 is less than 110                                                          on the bit
2 - 2 = 0 is less than 110                                                          on the bit
0 - 1 cannot be subtracted                                                       off the bit


Therefore, this is our binary value 01101110.