By , 8 months ago

Sol. This expansions nothing but the decimal expansion of any number in any base to a base 10.

For eg are have a number 66 and we want to convert it into a binary number (base2)

So we first divide 66 by 2 then again divide the quotient obtained by 2 then again the quotient by 2 and so on.


S 66=(1000010)₂

This is successive division (we are dividing quotients obtained again by 2.


In short form

we write all the remainders together