Question

How to convert $128$ in binary ?

Answer 1

Converting $128$ into binary

1. Divide the number by $2$ and if it is completely divisible then the remainder is 0 else 1.This will be LSB(Least Significant Bit).
2. Make the Quotient obtained as next Dividend
3. Now divide the Quotient obtained by $2$and note the remainder again.
4. Repeat the Point number $2$ and $3$ until the new Dividend becomes $0$.
5. When process terminates report answer from MSB (Most Significant Bit) to LSB.

$\begin{array}{ccc}\mathrm{Divisor}& \mathrm{Dividend}& \mathrm{Remainder}\\ 2& 128& 0\\ 2& 64& 0\\ 2& 32& 0\\ 2& 16& 0\\ 2& 8& 0\\ 2& 4& 0\\ 2& 2& 0\\ 2& 1& 1\\ -& 0& -\end{array}$

Hence the binary representation of $128$ is $10000000$.