E08E hexadecimal to binary

Here we will show you how to convert the hexadecimal number E08E 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 E08E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E08E by 16⁰, multiply the second to last digit in E08E by 16¹, multiply the third to last digit in E08E by 16², multiply the fourth to last digit in E08E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
0 × 16² = 0
E × 16³ = 57344

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 + 0 + 57344 = 57486

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.

57486 ÷ 2 = 28743 with 0 remainder
28743 ÷ 2 = 14371 with 1 remainder
14371 ÷ 2 = 7185 with 1 remainder
7185 ÷ 2 = 3592 with 1 remainder
3592 ÷ 2 = 1796 with 0 remainder
1796 ÷ 2 = 898 with 0 remainder
898 ÷ 2 = 449 with 0 remainder
449 ÷ 2 = 224 with 1 remainder
224 ÷ 2 = 112 with 0 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 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 E08E hexadecimal to binary:

E08E hexadecimal = 1110000010001110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

E08F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.