An Interesting multiplication method !!!! Figure this out :)

The technique given below is an alternative way to multiply two numbers !!!
its fun trying to figure out how this works....So give it a try :)


A method of multiplying integers using only addition, doubling, and halving.


Method:

1. Take two numbers to be multiplied 
2. In the left-hand column repeatedly halve the last number, discarding any remainders, and write the result below the last in the same column, until you write a value of 1.
3. In the right-hand column repeatedly double the last number and write the result below. stop when you add a result in the same row as where the left hand column shows 1.
4. Examine the table produced and discard any row where the value in the left column is even.
5. Sum the values in the right-hand column that remain to produce the result of multiplying the original two numbers together 

Here's an example...

Multiply: 12 * 13

    Left Col    Right Col

i)   12            13

ii)   6              26

iii)  3              52

iv)  1             104

add the right col numbers corresponding to the left col numbers that are odd.

so adding numbers in row(iii) + row(iv) -> 52+104=156

and thats exactly what 12*13 is...

Try for different numbers..it really works!!!

Figure out the reasoning behind this...should be fun :)

do let me know if you get it :)