4D09 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4D09 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 4D09 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4D09 by 16⁰, multiply the second to last digit in 4D09 by 16¹, multiply the third to last digit in 4D09 by 16², multiply the fourth to last digit in 4D09 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
0 × 16¹ = 0
D × 16² = 3328
4 × 16³ = 16384

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

9 + 0 + 3328 + 16384 = 19721

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

19721 ÷ 2 = 9860 with 1 remainder
9860 ÷ 2 = 4930 with 0 remainder
4930 ÷ 2 = 2465 with 0 remainder
2465 ÷ 2 = 1232 with 1 remainder
1232 ÷ 2 = 616 with 0 remainder
616 ÷ 2 = 308 with 0 remainder
308 ÷ 2 = 154 with 0 remainder
154 ÷ 2 = 77 with 0 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 4D09 hexadecimal to binary:

4D09 hexadecimal = 100110100001001 binary

Hexadecimal to Binary Converter
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