38AC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 38AC 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 38AC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 38AC by 16⁰, multiply the second to last digit in 38AC by 16¹, multiply the third to last digit in 38AC by 16², multiply the fourth to last digit in 38AC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
A × 16¹ = 160
8 × 16² = 2048
3 × 16³ = 12288

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:

12 + 160 + 2048 + 12288 = 14508

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.

14508 ÷ 2 = 7254 with 0 remainder
7254 ÷ 2 = 3627 with 0 remainder
3627 ÷ 2 = 1813 with 1 remainder
1813 ÷ 2 = 906 with 1 remainder
906 ÷ 2 = 453 with 0 remainder
453 ÷ 2 = 226 with 1 remainder
226 ÷ 2 = 113 with 0 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 38AC hexadecimal to binary:

38AC hexadecimal = 11100010101100 binary

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

38AD hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.