E118 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E118 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 E118 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E118 by 16⁰, multiply the second to last digit in E118 by 16¹, multiply the third to last digit in E118 by 16², multiply the fourth to last digit in E118 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
1 × 16² = 256
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:

8 + 16 + 256 + 57344 = 57624

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.

57624 ÷ 2 = 28812 with 0 remainder
28812 ÷ 2 = 14406 with 0 remainder
14406 ÷ 2 = 7203 with 0 remainder
7203 ÷ 2 = 3601 with 1 remainder
3601 ÷ 2 = 1800 with 1 remainder
1800 ÷ 2 = 900 with 0 remainder
900 ÷ 2 = 450 with 0 remainder
450 ÷ 2 = 225 with 0 remainder
225 ÷ 2 = 112 with 1 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 E118 hexadecimal to binary:

E118 hexadecimal = 1110000100011000 binary

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E119 hexadecimal to binary
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