What is the binary representation of the decimal number 210?

To determine the binary representation of the decimal number 210, you convert the decimal number into binary by repeatedly dividing the number by 2 and recording the remainders.

Starting with the number 210:

1. 210 divided by 2 gives a quotient of 105 and a remainder of 0.

2. 105 divided by 2 results in a quotient of 52 with a remainder of 1.

3. 52 divided by 2 yields a quotient of 26 with a remainder of 0.

4. 26 divided by 2 provides a quotient of 13 with a remainder of 0.

5. 13 divided by 2 results in a quotient of 6 and a remainder of 1.

6. 6 divided by 2 yields a quotient of 3 with a remainder of 0.

7. 3 divided by 2 gives a quotient of 1 with a remainder of 1.

8. Finally, 1 divided by 2 results in a quotient of 0 with a remainder of 1.

Next, you take all the remainders and read them in reverse order (from the last division to the first):

Reading from the last remainder to the first, we get