DB76 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DB76 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 DB76 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DB76 by 16⁰, multiply the second to last digit in DB76 by 16¹, multiply the third to last digit in DB76 by 16², multiply the fourth to last digit in DB76 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
7 × 16¹ = 112
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:

6 + 112 + 2816 + 53248 = 56182

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.

56182 ÷ 2 = 28091 with 0 remainder
28091 ÷ 2 = 14045 with 1 remainder
14045 ÷ 2 = 7022 with 1 remainder
7022 ÷ 2 = 3511 with 0 remainder
3511 ÷ 2 = 1755 with 1 remainder
1755 ÷ 2 = 877 with 1 remainder
877 ÷ 2 = 438 with 1 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 DB76 hexadecimal to binary:

DB76 hexadecimal = 1101101101110110 binary

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DB77 hexadecimal to binary
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