Question

Convert $75$ into binary.

Answer 1

Conversion of number on base 10 in binary:

To convert $75$ into binary, follow the below steps:

Divide $75$ by $2$, and use the quotient obtained in this step as a dividend for the next step. Repeat the process till the quotient becomes $0$.

Dividend	Remainder
$75÷2=37$	$1$
$37÷2=18$	$1$
$18÷2=9$	$0$
$9÷2=4$	$1$
$4÷2=2$	$0$
$2÷2=1$	$0$
$1÷2=0$	$1$

Now, write the remainder from bottom to top. (i.e) $1001011$

Hence, $75$ in binary is ${\mathbf{1001011}}_{\mathbf{2}}$