Question

Convert the given from decimal to binary : $158$

Answer 1

Given number is $158$

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

$\frac{158}{2}=79$, the remainder is $0$

$\frac{79}{2}=39$, the remainder is $1$

$\frac{39}{2}=19$, the remainder is $1$

$\frac{19}{2}=9$, the remainder is $1$

$\frac{9}{2}=4$, the remainder is $1$

$\frac{4}{2}=2$, the remainder is $0$

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

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

Now read from the bottom (MSB) to top (LSB) as $10011110$

So ${158}_{10}={10011110}_2$