Question

Express $45$ in binary.

Answer 1

Express the given number in Binary:

Given number: $45$.

Divide the number by $2$ and write down the remainder until the quotient is $1$.

Quotient	Remainder
$\frac{45}{2}=22$	$1$
$\frac{22}{2}=11$	$0$
$\frac{11}{2}=5$	$1$
$\frac{5}{2}=2$	$1$
$\frac{2}{2}=1$	$0$

Now, consider the last quotient, that is $1$ and write down the remainders from bottom to top.

Thus, the binary form is $101101$.

Hence, the binary form of the given number is $\mathbf{101101}$.