Question

convert the following decimal number into binary 13​

Answer 1

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

• The binary equivalent of (13)₁₀ is (1101)₂

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\tt2&\tt13&\\ \tt2&\tt6&\tt1\\ \tt2&\tt3&\tt0\\ \tt2&\tt1&\tt1\\ &\tt0&\tt1\end{array}}$

Now, arrange the remainders obtained (on dividing the numbers by 2) from bottom to top. Therefore,

> (13)₁₀ = (1101)₂ (Answer)

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

1. Divide the number by 2.
2. Write the quotient on the left and remainders on the right.
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.