DB0A hexadecimal to binary

Here we will show you how to convert the hexadecimal number DB0A 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 DB0A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DB0A by 16⁰, multiply the second to last digit in DB0A by 16¹, multiply the third to last digit in DB0A by 16², multiply the fourth to last digit in DB0A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
0 × 16¹ = 0
B × 16² = 2816
D × 16³ = 53248

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:

10 + 0 + 2816 + 53248 = 56074

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.

56074 ÷ 2 = 28037 with 0 remainder
28037 ÷ 2 = 14018 with 1 remainder
14018 ÷ 2 = 7009 with 0 remainder
7009 ÷ 2 = 3504 with 1 remainder
3504 ÷ 2 = 1752 with 0 remainder
1752 ÷ 2 = 876 with 0 remainder
876 ÷ 2 = 438 with 0 remainder
438 ÷ 2 = 219 with 0 remainder
219 ÷ 2 = 109 with 1 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 DB0A hexadecimal to binary:

DB0A hexadecimal = 1101101100001010 binary

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DB0B hexadecimal to binary
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