8D18 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8D18 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 8D18 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8D18 by 16⁰, multiply the second to last digit in 8D18 by 16¹, multiply the third to last digit in 8D18 by 16², multiply the fourth to last digit in 8D18 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
1 × 16¹ = 16
D × 16² = 3328
8 × 16³ = 32768

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:

8 + 16 + 3328 + 32768 = 36120

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.

36120 ÷ 2 = 18060 with 0 remainder
18060 ÷ 2 = 9030 with 0 remainder
9030 ÷ 2 = 4515 with 0 remainder
4515 ÷ 2 = 2257 with 1 remainder
2257 ÷ 2 = 1128 with 1 remainder
1128 ÷ 2 = 564 with 0 remainder
564 ÷ 2 = 282 with 0 remainder
282 ÷ 2 = 141 with 0 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8D18 hexadecimal to binary:

8D18 hexadecimal = 1000110100011000 binary

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

8D19 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.