Question

Convert $192$ to binary.

Answer 1

The given number is$192$.

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.

$\frac{192}{2}=96,\text{remainder is 0}$,

$\frac{96}{2}=48,\text{remainder is 0}$

$\frac{48}{2}=24,\text{remainder is 0}$

$\frac{24}{2}=12,\text{remainder is 0}$

$\frac{12}{2}=6,\text{remainder is 0}$

$\frac{6}{2}=3,\text{remainder is 0}$

$\frac{3}{2}=1,\text{remainder is 1}$

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

Now, read from the bottom (MSB) to top (LSB) as $11000000$

So ${192}_{10}={11000000}_2.$