divide 1111 by 101 using binary system

Question

Also divide 10100 by 101 and 1111×101

Answer 1

Do you remember long division from primary school??   Well, here it is again:

 

 

                       1 1

             -------------

      101  )  1 1 1 1

                 1 0 1

               --------

                    1 0 1

                    1 0 1

                   -------

                          0

 

Now, just to make us feel comfortable, 15 divided by 5 is 3.

 

Using the same process, or noticing that 10100 starts with 101, the quotient is 100.

 

Again, for confirmation, 20 divided by 5 is 4.