Question

What is the binary equivalent of $83$?

Answer 1

Solve for the required binary equivalent:

To convert a decimal number into binary we divide it by $2$ and use the quotient obtained in the next iteration until a quotient $0$ is obtained.

The remainder of each iteration represents the bit in the binary system

Division	Remainder
$\frac{83}{2}=41$	$1$
$\frac{41}{2}=20$	$1$
$\frac{20}{2}=10$	$0$
$\frac{10}{2}=5$	$0$
$\frac{5}{2}=2$	$1$
$\frac{2}{2}=1$	$0$
$\frac{1}{2}=0$	$1$

Rearranging the remainders in the bottom up manner , we get the binary equivalent of the given number.

Hence, $1010011$ is the binary equivalent of $83$.