Question

Convert decimal $99$ to binary.

• A. $1100101$
• B. $1101001$
• C. $11100011$
• D. $1100011$

Answer 1

The correct option is D $1100011$

Step 1:

$\text{Divide 99 successively by 2 until the quotient is 0:}$

$\text{99/2 = 49, remainder is 1}$
$\text{49/2 = 24, remainder is 1}$
$\text{24/2 = 12, remainder is 0}$
$\text{12/2 = 6, remainder is 0}$
$\text{6/2 = 3, remainder is 0}$
$\text{3/2 = 1, remainder is 1}$
$\text{1/2 = 0, remainder is 1}$

Step 2: $\text{Read from the bottom (MSB) to top (LSB) as 1100011. This is the binary equivalent of decimal number 99}$