E85 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E85 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 E85 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E85 by 16⁰, multiply the second to last digit in E85 by 16¹, multiply the third to last digit in E85 by 16², multiply the fourth to last digit in E85 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
8 × 16¹ = 128
E × 16² = 3584

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 + 128 + 3584 = 3717

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.

3717 ÷ 2 = 1858 with 1 remainder
1858 ÷ 2 = 929 with 0 remainder
929 ÷ 2 = 464 with 1 remainder
464 ÷ 2 = 232 with 0 remainder
232 ÷ 2 = 116 with 0 remainder
116 ÷ 2 = 58 with 0 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 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 E85 hexadecimal to binary:

E85 hexadecimal = 111010000101 binary

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E86 hexadecimal to binary
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