D4EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number D4EF 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 D4EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D4EF by 16⁰, multiply the second to last digit in D4EF by 16¹, multiply the third to last digit in D4EF by 16², multiply the fourth to last digit in D4EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
4 × 16² = 1024
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 + 1024 + 53248 = 54511

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.

54511 ÷ 2 = 27255 with 1 remainder
27255 ÷ 2 = 13627 with 1 remainder
13627 ÷ 2 = 6813 with 1 remainder
6813 ÷ 2 = 3406 with 1 remainder
3406 ÷ 2 = 1703 with 0 remainder
1703 ÷ 2 = 851 with 1 remainder
851 ÷ 2 = 425 with 1 remainder
425 ÷ 2 = 212 with 1 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 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 D4EF hexadecimal to binary:

D4EF hexadecimal = 1101010011101111 binary

Hexadecimal to Binary Converter
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D4F0 hexadecimal to binary
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