How to Convert 2009 to Binary

Here we will show you step-by-step how to convert the decimal number 2009 to binary.

First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).

As we explain the steps to converting 2009 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

Step 1) Divide 2009 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 2009 as a binary.

Here we will show our work so you can follow along:

2009 ÷ 2 = 1004 with 1 remainder
1004 ÷ 2 = 502 with 0 remainder
502 ÷ 2 = 251 with 0 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 2009 converted to binary is therefore:

11111011001

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 2009 and B is the binary number 11111011001. Which means that you can display decimal number 2009 to binary in mathematical terms as follows:

2009₁₀ = 11111011001₂

Decimal to Binary Converter
Need another decimal number as a binary number? How to convert 2009 to binary is not all we know. Convert another decimal to binary below:

How to Convert 2010 to Binary
Here is our next decimal to binary tutorial on our list.