FEDB hexadecimal to binary

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

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

B × 16⁰ = 11
D × 16¹ = 208
E × 16² = 3584
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:

11 + 208 + 3584 + 61440 = 65243

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.

65243 ÷ 2 = 32621 with 1 remainder
32621 ÷ 2 = 16310 with 1 remainder
16310 ÷ 2 = 8155 with 0 remainder
8155 ÷ 2 = 4077 with 1 remainder
4077 ÷ 2 = 2038 with 1 remainder
2038 ÷ 2 = 1019 with 0 remainder
1019 ÷ 2 = 509 with 1 remainder
509 ÷ 2 = 254 with 1 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 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 FEDB hexadecimal to binary:

FEDB hexadecimal = 1111111011011011 binary

Hexadecimal to Binary Converter
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