Question

8737 convert into binary​

Answer 1

$\textsf{\large{\underline{Answer}:}}$

• The binary equivalent of the given decimal number (8737)₁₀ is (1000 1000 1000 01)₂

$\textsf{\large{\underline{Solution}:}}$

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\rm2&\rm8737&\\ \rm2&\rm4368&\rm1\\ \rm2&\rm2184&\rm0\\ \rm2&\rm1092&\rm0\\ \rm2&\rm546&\rm0\\ \rm2&\rm273&\rm0\\ \rm2&\rm136&\rm1\\ \rm2&\rm68&\rm0\\ \rm2&\rm34&\rm0\\ \rm2&\rm17&\rm0\\ \rm2&\rm8&\rm1\\ \rm2&\rm4&\rm0\\ \rm2&\rm2&\rm0\\ \rm2&\rm1&\rm0\\ &\rm0&\rm1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (8737)₁₀ = (1000 1000 1000 01)₂   (Answer)

$\textsf{\large{\underline{Steps To Solve}:}}$

1. Divide the number by 2.
2. Write the quotient and the remainder and again divide the number by 2.
3. Repeat the above two processes until the quotient becomes 0.
4. Now arrange the remainders obtained from bottom to top.
5. Result obtained will be the binary equivalent of the given decimal number.