FBDE hexadecimal to binary

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

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

E × 16⁰ = 14
D × 16¹ = 208
B × 16² = 2816
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 + 208 + 2816 + 61440 = 64478

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.

64478 ÷ 2 = 32239 with 0 remainder
32239 ÷ 2 = 16119 with 1 remainder
16119 ÷ 2 = 8059 with 1 remainder
8059 ÷ 2 = 4029 with 1 remainder
4029 ÷ 2 = 2014 with 1 remainder
2014 ÷ 2 = 1007 with 0 remainder
1007 ÷ 2 = 503 with 1 remainder
503 ÷ 2 = 251 with 1 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

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 FBDE hexadecimal to binary:

FBDE hexadecimal = 1111101111011110 binary

Hexadecimal to Binary Converter
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FBDF hexadecimal to binary
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