DD8B hexadecimal to binary

Here we will show you how to convert the hexadecimal number DD8B 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 DD8B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DD8B by 16⁰, multiply the second to last digit in DD8B by 16¹, multiply the third to last digit in DD8B by 16², multiply the fourth to last digit in DD8B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
D × 16² = 3328
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:

11 + 128 + 3328 + 53248 = 56715

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.

56715 ÷ 2 = 28357 with 1 remainder
28357 ÷ 2 = 14178 with 1 remainder
14178 ÷ 2 = 7089 with 0 remainder
7089 ÷ 2 = 3544 with 1 remainder
3544 ÷ 2 = 1772 with 0 remainder
1772 ÷ 2 = 886 with 0 remainder
886 ÷ 2 = 443 with 0 remainder
443 ÷ 2 = 221 with 1 remainder
221 ÷ 2 = 110 with 1 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 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 DD8B hexadecimal to binary:

DD8B hexadecimal = 1101110110001011 binary

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

DD8C hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.