How Does any number system work?


Have you heard the question : What is the value of 2 hundreds 1 tens and 3 ones?


213 right?? You all learned that in elementary school..

You did ( 2 * 100 ) + ( 1 * 10 ) + ( 3 * 1 )





But why?? Let me tell you a short story to explain..


There was a girl, who wanted to count many Candies.. So she started from 0 (no candies) to 1, to 2, to 3.. and she reached 9..
She found he doesn't have any more numbers to count on..

So what she did??


She kept one (1) aside, which will tell her that 10 candies are counted and stared counting from 0 again.

So she went from 9 to 1,0 (ten).. Then again 1,1
to 1,2 and so on..

She again reached 1,9 (nineteen).
She was happy at her decision because she can just increment that 1 she kept aside and can go from 1,9 to 2,0 (twenty).
She continued counting 2,0 then 2,1... and reached 9,9 (ninety nine) and again she got stuck.

So what she did?  She again followed her approach and kept 1 aside to represent 100 (hundred).. and did 1,0,0 (one hundred) then again 1,0,1 and she continues..


And in the end she counted 2 hundreds 1 tens and 3 ones which turned out to be 213 (Two Hundred and Thirteen).


Makes sense??

Hope so!

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