DB6D hexadecimal to binary

Here we will show you how to convert the hexadecimal number DB6D 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 DB6D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DB6D by 16⁰, multiply the second to last digit in DB6D by 16¹, multiply the third to last digit in DB6D by 16², multiply the fourth to last digit in DB6D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
6 × 16¹ = 96
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:

13 + 96 + 2816 + 53248 = 56173

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.

56173 ÷ 2 = 28086 with 1 remainder
28086 ÷ 2 = 14043 with 0 remainder
14043 ÷ 2 = 7021 with 1 remainder
7021 ÷ 2 = 3510 with 1 remainder
3510 ÷ 2 = 1755 with 0 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 DB6D hexadecimal to binary:

DB6D hexadecimal = 1101101101101101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

DB6E hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.