D2EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number D2EF 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 D2EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D2EF by 16⁰, multiply the second to last digit in D2EF by 16¹, multiply the third to last digit in D2EF by 16², multiply the fourth to last digit in D2EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
2 × 16² = 512
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:

15 + 224 + 512 + 53248 = 53999

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.

53999 ÷ 2 = 26999 with 1 remainder
26999 ÷ 2 = 13499 with 1 remainder
13499 ÷ 2 = 6749 with 1 remainder
6749 ÷ 2 = 3374 with 1 remainder
3374 ÷ 2 = 1687 with 0 remainder
1687 ÷ 2 = 843 with 1 remainder
843 ÷ 2 = 421 with 1 remainder
421 ÷ 2 = 210 with 1 remainder
210 ÷ 2 = 105 with 0 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 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 D2EF hexadecimal to binary:

D2EF hexadecimal = 1101001011101111 binary

Hexadecimal to Binary Converter
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D2F0 hexadecimal to binary
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