39DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 39DF 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 39DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 39DF by 16⁰, multiply the second to last digit in 39DF by 16¹, multiply the third to last digit in 39DF by 16², multiply the fourth to last digit in 39DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
9 × 16² = 2304
3 × 16³ = 12288

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 + 2304 + 12288 = 14815

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.

14815 ÷ 2 = 7407 with 1 remainder
7407 ÷ 2 = 3703 with 1 remainder
3703 ÷ 2 = 1851 with 1 remainder
1851 ÷ 2 = 925 with 1 remainder
925 ÷ 2 = 462 with 1 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 39DF hexadecimal to binary:

39DF hexadecimal = 11100111011111 binary

Hexadecimal to Binary Converter
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