Question

convert 265
bainary number system
​

Answer 1

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

• The binary equivalent of the decimal number (265)₁₀ is (1000 0100 1)₂

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\tt2&\tt265&\\ \tt2&\tt132&\tt1\\ \tt2&\tt66&\tt0\\ \tt2&\tt33&\tt0\\ \tt2&\tt16&\tt1\\ \tt2&\tt8&\tt0\\ \tt2&\tt4&\tt0\\ \tt2&\tt2&\tt0\\ \tt2&\tt1&\tt0\\ &\tt0&\tt1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (265)₁₀ = (1000 0100 1)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.