DE43 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DE43 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 DE43 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DE43 by 16⁰, multiply the second to last digit in DE43 by 16¹, multiply the third to last digit in DE43 by 16², multiply the fourth to last digit in DE43 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
4 × 16¹ = 64
E × 16² = 3584
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:

3 + 64 + 3584 + 53248 = 56899

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.

56899 ÷ 2 = 28449 with 1 remainder
28449 ÷ 2 = 14224 with 1 remainder
14224 ÷ 2 = 7112 with 0 remainder
7112 ÷ 2 = 3556 with 0 remainder
3556 ÷ 2 = 1778 with 0 remainder
1778 ÷ 2 = 889 with 0 remainder
889 ÷ 2 = 444 with 1 remainder
444 ÷ 2 = 222 with 0 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 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 DE43 hexadecimal to binary:

DE43 hexadecimal = 1101111001000011 binary

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

DE44 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.