Question

$22$ in binary is equal to $?$

Answer 1

Finding the binary form:

Given number is $22$.

To convert a decimal number to binary, we divide it successively by $2$, until quotient is $0$.

Keep the whole part for the next step and set the remainder aside.

$\frac{22}{2}$$=$$11$, remainder is $0$

$\frac{11}{2}$ $=$ $5$ , remainder is $1$

$\frac{5}{2}$ $=$ $2$, remainder is $1$

$\frac{2}{2}$$=$$1$, remainder is $0$

$\frac{1}{2}$$=$$0$, remainder is $1$

Now read from the bottom (MSB) to top (LSB) as $10110$ .

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

Therefore, the binary form of a given decimal number $22$ is $10110$.