DE8F hexadecimal to binary

Here we will show you how to convert the hexadecimal number DE8F 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 DE8F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DE8F by 16⁰, multiply the second to last digit in DE8F by 16¹, multiply the third to last digit in DE8F by 16², multiply the fourth to last digit in DE8F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
8 × 16¹ = 128
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:

15 + 128 + 3584 + 53248 = 56975

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.

56975 ÷ 2 = 28487 with 1 remainder
28487 ÷ 2 = 14243 with 1 remainder
14243 ÷ 2 = 7121 with 1 remainder
7121 ÷ 2 = 3560 with 1 remainder
3560 ÷ 2 = 1780 with 0 remainder
1780 ÷ 2 = 890 with 0 remainder
890 ÷ 2 = 445 with 0 remainder
445 ÷ 2 = 222 with 1 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 DE8F hexadecimal to binary:

DE8F hexadecimal = 1101111010001111 binary

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

DE90 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.