Question

How do you write $6$ in binary

Answer 1

Convert to binary

For decimal to binary conversion, divide the given number by $2$ till we get $0$ as quotient..

$\begin{array}{cccc}\mathrm{Divisor}& \mathrm{Dividend}& \mathrm{Quotient}& \mathrm{Remainder}\\ 2& 6& 3& 0\\ 2& 3& 1& 1\\ 2& 1& 0& 1\end{array}$

Write the digits in the remainder column from top to bottom and the quotient in the last row in a sequence to get the binary notation.

Thus, $6={\left(110\right)}_2$

Therefore, $6$ in binary is written as ${\left(110\right)}_2$.