Question

Change 15 to base 2

Answer 1

To convert the decimal number 15 to base 2 (binary), you can use the method of dividing by 2 and keeping track of the remainders. Here are the steps:

1. Divide 15 by 2. The quotient is 7 and the remainder is 1.
2. Divide 7 by 2. The quotient is 3 and the remainder is 1.
3. Divide 3 by 2. The quotient is 1 and the remainder is 1.
4. Divide 1 by 2. The quotient is 0 and the remainder is 1.

Now, we collect the remainders from bottom to top:

1. The remainders are: 1, 1, 1, 1.

Therefore, the binary representation of the decimal number 15 is \(1111_2\).