8FDE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8FDE 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 8FDE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8FDE by 16⁰, multiply the second to last digit in 8FDE by 16¹, multiply the third to last digit in 8FDE by 16², multiply the fourth to last digit in 8FDE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
D × 16¹ = 208
F × 16² = 3840
8 × 16³ = 32768

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 + 3840 + 32768 = 36830

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.

36830 ÷ 2 = 18415 with 0 remainder
18415 ÷ 2 = 9207 with 1 remainder
9207 ÷ 2 = 4603 with 1 remainder
4603 ÷ 2 = 2301 with 1 remainder
2301 ÷ 2 = 1150 with 1 remainder
1150 ÷ 2 = 575 with 0 remainder
575 ÷ 2 = 287 with 1 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8FDE hexadecimal to binary:

8FDE hexadecimal = 1000111111011110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

8FDF hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.