FFDF hexadecimal to binary

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

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

F × 16⁰ = 15
D × 16¹ = 208
F × 16² = 3840
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 + 208 + 3840 + 61440 = 65503

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.

65503 ÷ 2 = 32751 with 1 remainder
32751 ÷ 2 = 16375 with 1 remainder
16375 ÷ 2 = 8187 with 1 remainder
8187 ÷ 2 = 4093 with 1 remainder
4093 ÷ 2 = 2046 with 1 remainder
2046 ÷ 2 = 1023 with 0 remainder
1023 ÷ 2 = 511 with 1 remainder
511 ÷ 2 = 255 with 1 remainder
255 ÷ 2 = 127 with 1 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 FFDF hexadecimal to binary:

FFDF hexadecimal = 1111111111011111 binary

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

FFE0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.