Question

youre visiting a computer science building at a college, and theyve decided itd be fun to display all the room numbers in binary. youre going to room 13. what binary number should you look for on the door of room 13? type the binary number without any spaces:

Explanation:

Step1: Divide 13 by 2

We divide 13 by 2 to get the quotient and remainder. $13 \div 2 = 6$ with a remainder of $1$.

Step2: Divide 6 by 2

Next, divide the quotient 6 by 2. $6 \div 2 = 3$ with a remainder of $0$.

Step3: Divide 3 by 2

Divide 3 by 2. $3 \div 2 = 1$ with a remainder of $1$.

Step4: Divide 1 by 2

Divide 1 by 2. $1 \div 2 = 0$ with a remainder of $1$.

Step5: Read remainders from bottom

Now, we read the remainders from bottom to top. The remainders we got were 1, 1, 0, 1 (from last step to first step).

Answer:

1101