EB85 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB85 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 EB85 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB85 by 16⁰, multiply the second to last digit in EB85 by 16¹, multiply the third to last digit in EB85 by 16², multiply the fourth to last digit in EB85 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
8 × 16¹ = 128
B × 16² = 2816
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 + 128 + 2816 + 57344 = 60293

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.

60293 ÷ 2 = 30146 with 1 remainder
30146 ÷ 2 = 15073 with 0 remainder
15073 ÷ 2 = 7536 with 1 remainder
7536 ÷ 2 = 3768 with 0 remainder
3768 ÷ 2 = 1884 with 0 remainder
1884 ÷ 2 = 942 with 0 remainder
942 ÷ 2 = 471 with 0 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 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 EB85 hexadecimal to binary:

EB85 hexadecimal = 1110101110000101 binary

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EB86 hexadecimal to binary
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