Convert 15ten to a binary. Explain your answer

To convert 15 to binary, we need to repeatedly divide the number by 2 and keep track of the remainders.

15 ÷ 2 = 7 remainder 1
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1

Reading the remainders from bottom to top, we get 1111. Therefore, 15 in binary is 1111.