Question

how would you represent the decimal number 11 in binary?
choose 1 answer:
a 1010
b 1111
c 1011
d 1100
check
lets go bigger. how would you represent the decimal number 25 in binary?
choose 1 answer:
a 00010111
b 00011111
c 00011001
d 00011010

Explanation:

Step1: Divide 11 by 2

$11\div2 = 5$ remainder $1$

Step2: Divide 5 by 2

$5\div2= 2$ remainder $1$

Step3: Divide 2 by 2

$2\div2 = 1$ remainder $0$

Step4: Divide 1 by 2

$1\div2=0$ remainder $1$
Read the remainders from bottom - to - top, so 11 in decimal is 1011 in binary.

Step5: Divide 25 by 2

$25\div2 = 12$ remainder $1$

Step6: Divide 12 by 2

$12\div2=6$ remainder $0$

Step7: Divide 6 by 2

$6\div2 = 3$ remainder $0$

Step8: Divide 3 by 2

$3\div2=1$ remainder $1$

Step9: Divide 1 by 2

$1\div2 = 0$ remainder $1$
Read the remainders from bottom - to - top, so 25 in decimal is 11001 in binary (or 00011001 with leading zeros).

Answer:

C. 1011
C. 00011001