E255 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E255 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 E255 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E255 by 16⁰, multiply the second to last digit in E255 by 16¹, multiply the third to last digit in E255 by 16², multiply the fourth to last digit in E255 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
5 × 16¹ = 80
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:

5 + 80 + 512 + 57344 = 57941

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.

57941 ÷ 2 = 28970 with 1 remainder
28970 ÷ 2 = 14485 with 0 remainder
14485 ÷ 2 = 7242 with 1 remainder
7242 ÷ 2 = 3621 with 0 remainder
3621 ÷ 2 = 1810 with 1 remainder
1810 ÷ 2 = 905 with 0 remainder
905 ÷ 2 = 452 with 1 remainder
452 ÷ 2 = 226 with 0 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 E255 hexadecimal to binary:

E255 hexadecimal = 1110001001010101 binary

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E256 hexadecimal to binary
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