Question

The binary equivalent of decimal number$22$ is?

Answer 1

Converting the decimal number into binary equivalent:

To convert the decimal number $22$into binary equivalent, we have to divide the number by $2$and check with the remainder value.

$$\begin{gathered} \frac{22}{2}=11\Rightarrow \mathrm{remainder}=0 \\ \frac{11}{2}=5\Rightarrow \mathrm{remainder}=1 \\ \frac{5}{2}=2\Rightarrow \mathrm{remainder}=1 \\ \frac{2}{2}=1\Rightarrow \mathrm{remainder}=0 \\ \frac{1}{2}=0\Rightarrow \mathrm{remainder}=1 \end{gathered}$$

Now, for the converting it into binary equivalent we have to write all the remainders from last to first as $10110$

Therefore, ${22}_{10}={10110}_2$.