3AC8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3AC8 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 3AC8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3AC8 by 16⁰, multiply the second to last digit in 3AC8 by 16¹, multiply the third to last digit in 3AC8 by 16², multiply the fourth to last digit in 3AC8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
C × 16¹ = 192
A × 16² = 2560
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:

8 + 192 + 2560 + 12288 = 15048

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.

15048 ÷ 2 = 7524 with 0 remainder
7524 ÷ 2 = 3762 with 0 remainder
3762 ÷ 2 = 1881 with 0 remainder
1881 ÷ 2 = 940 with 1 remainder
940 ÷ 2 = 470 with 0 remainder
470 ÷ 2 = 235 with 0 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 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 3AC8 hexadecimal to binary:

3AC8 hexadecimal = 11101011001000 binary

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

3AC9 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.