E0DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number E0DB 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 E0DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E0DB by 16⁰, multiply the second to last digit in E0DB by 16¹, multiply the third to last digit in E0DB by 16², multiply the fourth to last digit in E0DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
0 × 16² = 0
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:

11 + 208 + 0 + 57344 = 57563

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.

57563 ÷ 2 = 28781 with 1 remainder
28781 ÷ 2 = 14390 with 1 remainder
14390 ÷ 2 = 7195 with 0 remainder
7195 ÷ 2 = 3597 with 1 remainder
3597 ÷ 2 = 1798 with 1 remainder
1798 ÷ 2 = 899 with 0 remainder
899 ÷ 2 = 449 with 1 remainder
449 ÷ 2 = 224 with 1 remainder
224 ÷ 2 = 112 with 0 remainder
112 ÷ 2 = 56 with 0 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 E0DB hexadecimal to binary:

E0DB hexadecimal = 1110000011011011 binary

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E0DC hexadecimal to binary
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