What is the binary representation of 63?

The binary representation of 63 is 111111.

To convert decimal numbers to binary, we can use the following process:

1. Divide the decimal number by 2.
2. Write down the quotient and the remainder.
3. Repeat step 1 with the quotient until the quotient becomes 0.
4. Write the remainders in reverse order to get the binary representation.

So, for 63:

1. 63 divided by 2 is 31 with a remainder of 1.
2. Write down 1 as the rightmost digit of the binary representation.
3. Divide 31 by 2. The quotient is 15 with a remainder of 1.
4. Write down 1 as the next digit of the binary representation, to the left of the previous digit.
5. Repeat steps 3 and 4 until the quotient becomes 0.
6. The binary representation of 63 is 111111.