Question

in case youre wondering: theres only one way to represent any given number
in binary, just like theres only one way to represent any given number in
decimal. any technique that you use for converting a decimal to binary number
should yield the same number.

try another conversion now, using that technique or your own.

how would you represent the decimal number 11 in binary?

choose 1 answer:
a 1010
b 1111
c 1011
d 1100

Explanation:

Step1: Divide 11 by 2

$11 \div 2 = 5$ with a remainder of $1$

Step2: Divide 5 by 2

$5 \div 2 = 2$ with a remainder of $1$

Step3: Divide 2 by 2

$2 \div 2 = 1$ with a remainder of $0$

Step4: Divide 1 by 2

$1 \div 2 = 0$ with a remainder of $1$

Step5: Read the remainders from bottom to top

The remainders are $1, 0, 1, 1$, so the binary representation is $1011$

Answer:

C. 1011