DDF6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DDF6 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 DDF6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DDF6 by 16⁰, multiply the second to last digit in DDF6 by 16¹, multiply the third to last digit in DDF6 by 16², multiply the fourth to last digit in DDF6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
F × 16¹ = 240
D × 16² = 3328
D × 16³ = 53248

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:

6 + 240 + 3328 + 53248 = 56822

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.

56822 ÷ 2 = 28411 with 0 remainder
28411 ÷ 2 = 14205 with 1 remainder
14205 ÷ 2 = 7102 with 1 remainder
7102 ÷ 2 = 3551 with 0 remainder
3551 ÷ 2 = 1775 with 1 remainder
1775 ÷ 2 = 887 with 1 remainder
887 ÷ 2 = 443 with 1 remainder
443 ÷ 2 = 221 with 1 remainder
221 ÷ 2 = 110 with 1 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 DDF6 hexadecimal to binary:

DDF6 hexadecimal = 1101110111110110 binary

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DDF7 hexadecimal to binary
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