FDD8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FDD8 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 FDD8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FDD8 by 16⁰, multiply the second to last digit in FDD8 by 16¹, multiply the third to last digit in FDD8 by 16², multiply the fourth to last digit in FDD8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
D × 16¹ = 208
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:

8 + 208 + 3328 + 61440 = 64984

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.

64984 ÷ 2 = 32492 with 0 remainder
32492 ÷ 2 = 16246 with 0 remainder
16246 ÷ 2 = 8123 with 0 remainder
8123 ÷ 2 = 4061 with 1 remainder
4061 ÷ 2 = 2030 with 1 remainder
2030 ÷ 2 = 1015 with 0 remainder
1015 ÷ 2 = 507 with 1 remainder
507 ÷ 2 = 253 with 1 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 FDD8 hexadecimal to binary:

FDD8 hexadecimal = 1111110111011000 binary

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FDD9 hexadecimal to binary
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