FD09 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FD09 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 FD09 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FD09 by 16⁰, multiply the second to last digit in FD09 by 16¹, multiply the third to last digit in FD09 by 16², multiply the fourth to last digit in FD09 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
0 × 16¹ = 0
D × 16² = 3328
F × 16³ = 61440

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 + 61440 = 64777

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.

64777 ÷ 2 = 32388 with 1 remainder
32388 ÷ 2 = 16194 with 0 remainder
16194 ÷ 2 = 8097 with 0 remainder
8097 ÷ 2 = 4048 with 1 remainder
4048 ÷ 2 = 2024 with 0 remainder
2024 ÷ 2 = 1012 with 0 remainder
1012 ÷ 2 = 506 with 0 remainder
506 ÷ 2 = 253 with 0 remainder
253 ÷ 2 = 126 with 1 remainder
126 ÷ 2 = 63 with 0 remainder
63 ÷ 2 = 31 with 1 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

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 FD09 hexadecimal to binary:

FD09 hexadecimal = 1111110100001001 binary

Hexadecimal to Binary Converter
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