D8E hexadecimal to binary

Here we will show you how to convert the hexadecimal number D8E 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 D8E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D8E by 16⁰, multiply the second to last digit in D8E by 16¹, multiply the third to last digit in D8E by 16², multiply the fourth to last digit in D8E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
D × 16² = 3328

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:

14 + 128 + 3328 = 3470

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.

3470 ÷ 2 = 1735 with 0 remainder
1735 ÷ 2 = 867 with 1 remainder
867 ÷ 2 = 433 with 1 remainder
433 ÷ 2 = 216 with 1 remainder
216 ÷ 2 = 108 with 0 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 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 D8E hexadecimal to binary:

D8E hexadecimal = 110110001110 binary

Hexadecimal to Binary Converter
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D8F hexadecimal to binary
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