Question

Convert $35$ to binary.

Answer 1

Given number is $35$.

To convert a decimal number to binary, we divide it successively by $2$ & use the quotient obtained in this step as the dividend for the next step $2$. Continue this process until the quotient becomes $0$.

$35÷2=17$, remainder is $1$

$17÷2=8$, remainder is $1$

$8÷2=4$, remainder is $0$

$4÷2=2$, remainder is $0$

$2÷2=1$, remainder is $0$

$1÷2=0$, remainder is $1$

Now read from the bottom to top as $100011$.

Hence, $35$ in binary form is ${35}_{10}={100011}_2$