how would you represent the decimal number 11 in binary?\nchoose 1 answer:\na 1010\nb 1111\nc 1011\nd…

how would you represent the decimal number 11 in binary?\nchoose 1 answer:\na 1010\nb 1111\nc 1011\nd 1100\ncheck\nlets go bigger. how would you represent the decimal number 25 in binary?\nchoose 1 answer:\na 00010111\nb 00011111\nc 00011001\nd 00011010
Answer
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