Question

The number $83$ is written in the binary system as

• A. $100110$
• B. $101101$
• C. $1010011$
• D. $110110$

Answer 1

Answer: (C)

$1010011$

Step $1:$ Divide $83$ successively by $2$ until the quotient is $0$

$83÷2=41$ Remainder $=1$

$41÷2=20$ Remainder $=1$

$20÷2=10$ Remainder $=0$

$10÷2=5$ Remainder $=0$

$5÷2=2$ Remainder $=1$

$2÷2=1$ Remainder $=0$

$1÷2=0$ Remainder $=1$

Step $2:$ Read from bottom to top as $1010011$. This is binary equivalent of decimal number $83$