FBBD hexadecimal to binary

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

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

D × 16⁰ = 13
B × 16¹ = 176
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:

13 + 176 + 2816 + 61440 = 64445

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.

64445 ÷ 2 = 32222 with 1 remainder
32222 ÷ 2 = 16111 with 0 remainder
16111 ÷ 2 = 8055 with 1 remainder
8055 ÷ 2 = 4027 with 1 remainder
4027 ÷ 2 = 2013 with 1 remainder
2013 ÷ 2 = 1006 with 1 remainder
1006 ÷ 2 = 503 with 0 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 FBBD hexadecimal to binary:

FBBD hexadecimal = 1111101110111101 binary

Hexadecimal to Binary Converter
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