E00E hexadecimal to binary

Here we will show you how to convert the hexadecimal number E00E 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 E00E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E00E by 16⁰, multiply the second to last digit in E00E by 16¹, multiply the third to last digit in E00E by 16², multiply the fourth to last digit in E00E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
0 × 16¹ = 0
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 + 0 + 0 + 57344 = 57358

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.

57358 ÷ 2 = 28679 with 0 remainder
28679 ÷ 2 = 14339 with 1 remainder
14339 ÷ 2 = 7169 with 1 remainder
7169 ÷ 2 = 3584 with 1 remainder
3584 ÷ 2 = 1792 with 0 remainder
1792 ÷ 2 = 896 with 0 remainder
896 ÷ 2 = 448 with 0 remainder
448 ÷ 2 = 224 with 0 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 E00E hexadecimal to binary:

E00E hexadecimal = 1110000000001110 binary

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

E00F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.