E018 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E018 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 E018 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E018 by 16⁰, multiply the second to last digit in E018 by 16¹, multiply the third to last digit in E018 by 16², multiply the fourth to last digit in E018 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
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:

8 + 16 + 0 + 57344 = 57368

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.

57368 ÷ 2 = 28684 with 0 remainder
28684 ÷ 2 = 14342 with 0 remainder
14342 ÷ 2 = 7171 with 0 remainder
7171 ÷ 2 = 3585 with 1 remainder
3585 ÷ 2 = 1792 with 1 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 E018 hexadecimal to binary:

E018 hexadecimal = 1110000000011000 binary

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E019 hexadecimal to binary
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