E284 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E284 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 E284 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E284 by 16⁰, multiply the second to last digit in E284 by 16¹, multiply the third to last digit in E284 by 16², multiply the fourth to last digit in E284 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
8 × 16¹ = 128
2 × 16² = 512
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:

4 + 128 + 512 + 57344 = 57988

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.

57988 ÷ 2 = 28994 with 0 remainder
28994 ÷ 2 = 14497 with 0 remainder
14497 ÷ 2 = 7248 with 1 remainder
7248 ÷ 2 = 3624 with 0 remainder
3624 ÷ 2 = 1812 with 0 remainder
1812 ÷ 2 = 906 with 0 remainder
906 ÷ 2 = 453 with 0 remainder
453 ÷ 2 = 226 with 1 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 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 E284 hexadecimal to binary:

E284 hexadecimal = 1110001010000100 binary

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E285 hexadecimal to binary
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