FFD7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FFD7 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 FFD7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FFD7 by 16⁰, multiply the second to last digit in FFD7 by 16¹, multiply the third to last digit in FFD7 by 16², multiply the fourth to last digit in FFD7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
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:

7 + 208 + 3840 + 61440 = 65495

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.

65495 ÷ 2 = 32747 with 1 remainder
32747 ÷ 2 = 16373 with 1 remainder
16373 ÷ 2 = 8186 with 1 remainder
8186 ÷ 2 = 4093 with 0 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 FFD7 hexadecimal to binary:

FFD7 hexadecimal = 1111111111010111 binary

Hexadecimal to Binary Converter
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