DB40 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DB40 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 DB40 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DB40 by 16⁰, multiply the second to last digit in DB40 by 16¹, multiply the third to last digit in DB40 by 16², multiply the fourth to last digit in DB40 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
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:

0 + 64 + 2816 + 53248 = 56128

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.

56128 ÷ 2 = 28064 with 0 remainder
28064 ÷ 2 = 14032 with 0 remainder
14032 ÷ 2 = 7016 with 0 remainder
7016 ÷ 2 = 3508 with 0 remainder
3508 ÷ 2 = 1754 with 0 remainder
1754 ÷ 2 = 877 with 0 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 DB40 hexadecimal to binary:

DB40 hexadecimal = 1101101101000000 binary

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

DB41 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.