FDF7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FDF7 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 FDF7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FDF7 by 16⁰, multiply the second to last digit in FDF7 by 16¹, multiply the third to last digit in FDF7 by 16², multiply the fourth to last digit in FDF7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
F × 16¹ = 240
D × 16² = 3328
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:

7 + 240 + 3328 + 61440 = 65015

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.

65015 ÷ 2 = 32507 with 1 remainder
32507 ÷ 2 = 16253 with 1 remainder
16253 ÷ 2 = 8126 with 1 remainder
8126 ÷ 2 = 4063 with 0 remainder
4063 ÷ 2 = 2031 with 1 remainder
2031 ÷ 2 = 1015 with 1 remainder
1015 ÷ 2 = 507 with 1 remainder
507 ÷ 2 = 253 with 1 remainder
253 ÷ 2 = 126 with 1 remainder
126 ÷ 2 = 63 with 0 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 FDF7 hexadecimal to binary:

FDF7 hexadecimal = 1111110111110111 binary

Hexadecimal to Binary Converter
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FDF8 hexadecimal to binary
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