Question

Convert $37$ to binary.

Answer 1

Explanation:

Given number is $37$.

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 $0$.

$37÷2=18$, remainder is $1$

$18÷2=9$, remainder is $0$

$9÷2=4$, remainder is $1$

$4÷2=2$, remainder is $0$

$2÷2=1$, remainder is $0$

$1÷2=0$, remainder is $1$

Now read from the bottom (M.S.B) to top (L.S.B) as $100101$.

So ${37}_{10}={100101}_2$