EDB9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EDB9 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 EDB9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EDB9 by 16⁰, multiply the second to last digit in EDB9 by 16¹, multiply the third to last digit in EDB9 by 16², multiply the fourth to last digit in EDB9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
B × 16¹ = 176
D × 16² = 3328
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:

9 + 176 + 3328 + 57344 = 60857

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.

60857 ÷ 2 = 30428 with 1 remainder
30428 ÷ 2 = 15214 with 0 remainder
15214 ÷ 2 = 7607 with 0 remainder
7607 ÷ 2 = 3803 with 1 remainder
3803 ÷ 2 = 1901 with 1 remainder
1901 ÷ 2 = 950 with 1 remainder
950 ÷ 2 = 475 with 0 remainder
475 ÷ 2 = 237 with 1 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 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 EDB9 hexadecimal to binary:

EDB9 hexadecimal = 1110110110111001 binary

Hexadecimal to Binary Converter
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EDBA hexadecimal to binary
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