AE09 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AE09 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 AE09 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AE09 by 16⁰, multiply the second to last digit in AE09 by 16¹, multiply the third to last digit in AE09 by 16², multiply the fourth to last digit in AE09 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
0 × 16¹ = 0
E × 16² = 3584
A × 16³ = 40960

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:

9 + 0 + 3584 + 40960 = 44553

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.

44553 ÷ 2 = 22276 with 1 remainder
22276 ÷ 2 = 11138 with 0 remainder
11138 ÷ 2 = 5569 with 0 remainder
5569 ÷ 2 = 2784 with 1 remainder
2784 ÷ 2 = 1392 with 0 remainder
1392 ÷ 2 = 696 with 0 remainder
696 ÷ 2 = 348 with 0 remainder
348 ÷ 2 = 174 with 0 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 AE09 hexadecimal to binary:

AE09 hexadecimal = 1010111000001001 binary

Hexadecimal to Binary Converter
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