Question

What is the binary equivalent of decimal number 89110?

Answer 1

$\textsf{\large{\underline{Correct Question}:}}$

• What is the binary equivalent of the decimal number (891)₁₀

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\tt2&\tt891&\\ \tt2&\tt445&\tt1\\ \tt2&\tt222&\tt1\\ \tt2&\tt111&\tt0\\ \tt2&\tt55&\tt1\\ \tt2&\tt27&\tt1\\ \tt2&\tt13&\tt1\\ \tt2&\tt6&\tt1\\ \tt2&\tt3&\tt0\\ \tt2&\tt1&\tt1\\ &\tt0&\tt1\end{array}}$

Now, arrange the remainders obtained from bottom to top:

> (891)₁₀ = (1101 1110 11)₂ (Answer)

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

• The binary equivalent of the given decimal number (891)₁₀ is (1101 1110 11)₂

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

• Divide the number by 2.
• Write the quotient on the left and remainders obtained on the right.
• Repeat the above two processes until the quotient becomes 0.
• Now arrange the remainders obtained from bottom to top.
• Result obtained will be the binary equivalent of the given decimal number.