8DF hexadecimal to binary

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

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

F × 16⁰ = 15
D × 16¹ = 208
8 × 16² = 2048

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 + 2048 = 2271

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.

2271 ÷ 2 = 1135 with 1 remainder
1135 ÷ 2 = 567 with 1 remainder
567 ÷ 2 = 283 with 1 remainder
283 ÷ 2 = 141 with 1 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 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 8DF hexadecimal to binary:

8DF hexadecimal = 100011011111 binary

Hexadecimal to Binary Converter
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