How do you convert an integer to a binary number?

You convert an integer to a binary number by repeatedly dividing the integer by 2 and keeping track of the remainders. The binary number is then formed by writing the remainders in reverse order.

Step-by-Step Conversion

Here's a breakdown of the process:

1. Divide the integer by 2. Note the quotient (the result of the division) and the remainder (which will be either 0 or 1).
2. Repeat the division. Divide the quotient from the previous step by 2 again, noting the new quotient and remainder.
3. Continue dividing. Keep dividing the quotients by 2 until you get a quotient of 0.
4. Write the remainders in reverse order. The remainders, written from the last one obtained to the first, form the binary representation of the original integer.

Example: Converting 12 to Binary

Let's convert the integer 12 to binary using the steps above:

Division	Quotient	Remainder
12 / 2	6	0
6 / 2	3	0
3 / 2	1	1
1 / 2	0	1

Now, write the remainders in reverse order: 1100.

Therefore, the binary representation of the integer 12 is 1100.

Summary

To convert an integer to binary, repeatedly divide by 2, record the remainders, and then read the remainders in reverse order to obtain the binary equivalent.