Question

How to convert $65$ into binary ?

Answer 1

Converting $65$ 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 the next Dividend.
3. Now divide the Quotient obtained by $2$ and note the remainder again.
4. Repeat the steps $2$ and $3$ until the new Dividend becomes $0$.
5. When the process terminates report the answer from MSB to LSB.

$\begin{array}{ccc}\mathrm{Divisor}& \mathrm{Dividend}& \mathrm{Remainder}\\ 2& 65& 1\\ 2& 32& 0\\ 2& 16& 0\\ 2& 8& 0\\ 2& 4& 0\\ 2& 2& 0\\ 2& 1& 1\\ -& 0& -\end{array}$

Hence, the binary representation of $65$ is ${\left(1000001\right)}_2$.