Question

in case you’re wondering: there’s only one way to represent any given number in binary, just like there’s 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
check
let’s go bigger. how would you represent the decimal number 25 in binary?
choose 1 answer:
00010111
00011111
00011001
00011010

Explanation:

First Question (Decimal 11 to Binary)

Step1: Divide 11 by 2

$11 \div 2 = 5$ with remainder $1$ (least significant bit)

Step2: Divide 5 by 2

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

Step3: Divide 2 by 2

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

Step4: Divide 1 by 2

$1 \div 2 = 0$ with remainder $1$ (most significant bit)

Step5: Read remainders from MSB to LSB

Combine remainders: $1011$

Step1: Divide 25 by 2

$25 \div 2 = 12$ with remainder $1$ (LSB)

Step2: Divide 12 by 2

$12 \div 2 = 6$ with remainder $0$

Step3: Divide 6 by 2

$6 \div 2 = 3$ with remainder $0$

Step4: Divide 3 by 2

$3 \div 2 = 1$ with remainder $1$

Step5: Divide 1 by 2

$1 \div 2 = 0$ with remainder $1$ (MSB)

Step6: Read remainders from MSB to LSB

Combine remainders: $11001$. Adding leading zeros to make 8 bits: $00011001$

Answer:

C. 1011

Second Question (Decimal 25 to Binary)