E481 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E481 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 E481 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E481 by 16⁰, multiply the second to last digit in E481 by 16¹, multiply the third to last digit in E481 by 16², multiply the fourth to last digit in E481 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
8 × 16¹ = 128
4 × 16² = 1024
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:

1 + 128 + 1024 + 57344 = 58497

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.

58497 ÷ 2 = 29248 with 1 remainder
29248 ÷ 2 = 14624 with 0 remainder
14624 ÷ 2 = 7312 with 0 remainder
7312 ÷ 2 = 3656 with 0 remainder
3656 ÷ 2 = 1828 with 0 remainder
1828 ÷ 2 = 914 with 0 remainder
914 ÷ 2 = 457 with 0 remainder
457 ÷ 2 = 228 with 1 remainder
228 ÷ 2 = 114 with 0 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 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 E481 hexadecimal to binary:

E481 hexadecimal = 1110010010000001 binary

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E482 hexadecimal to binary
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