FBEF hexadecimal to binary

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

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

F × 16⁰ = 15
E × 16¹ = 224
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:

15 + 224 + 2816 + 61440 = 64495

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.

64495 ÷ 2 = 32247 with 1 remainder
32247 ÷ 2 = 16123 with 1 remainder
16123 ÷ 2 = 8061 with 1 remainder
8061 ÷ 2 = 4030 with 1 remainder
4030 ÷ 2 = 2015 with 0 remainder
2015 ÷ 2 = 1007 with 1 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 FBEF hexadecimal to binary:

FBEF hexadecimal = 1111101111101111 binary

Hexadecimal to Binary Converter
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FBF0 hexadecimal to binary
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