Question

1. Convert 24410 to its equivalent binary number

Answer 1

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

• The binary equivalent of the given decimal number (244)₁₀ is (1111 0100)₂

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\sf2&\sf244&\\ \sf2&\sf122&\sf0\\ \sf2&\sf61&\sf0\\ \sf2&\sf30&\sf1\\ \sf2&\sf15&\sf0\\ \sf2&\sf7&\sf1\\ \sf2&\sf3&\sf1\\ \sf2&\sf1&\sf1\\ &\sf0&\sf1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (244)₁₀ = (1111 0100)₂   (Answer)

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

• 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.