FD0E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FD0E 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 FD0E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FD0E by 16⁰, multiply the second to last digit in FD0E by 16¹, multiply the third to last digit in FD0E by 16², multiply the fourth to last digit in FD0E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
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:

14 + 0 + 3328 + 61440 = 64782

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.

64782 ÷ 2 = 32391 with 0 remainder
32391 ÷ 2 = 16195 with 1 remainder
16195 ÷ 2 = 8097 with 1 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 FD0E hexadecimal to binary:

FD0E hexadecimal = 1111110100001110 binary

Hexadecimal to Binary Converter
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FD0F hexadecimal to binary
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