Question

Convert $172$ into binary number.

Answer 1

The given number is$172$.

If we represent any number in the form of $\text{0 and 1}$, then that is the binary representation of the given number.

To convert a decimal number to binary, we divide it successively by$2$, until the quotient is 0. Keep the whole part for the next step and set the remainder aside.

$\frac{172}{2}=86,\text{remainder is 0}$,

$\frac{86}{2}=43,\text{remainder is 0}$

$\frac{43}{2}=21,\text{remainder is 1}$

$\frac{21}{2}=10,\text{remainder is 1}$

$\frac{10}{2}=5,\text{remainder is 0}$

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

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

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

Now, read from the bottom (MSB) to top (LSB) as $10101100$

So ${172}_{10}={10101100}_2.$