AE49 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AE49 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 AE49 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AE49 by 16⁰, multiply the second to last digit in AE49 by 16¹, multiply the third to last digit in AE49 by 16², multiply the fourth to last digit in AE49 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
4 × 16¹ = 64
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 + 64 + 3584 + 40960 = 44617

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.

44617 ÷ 2 = 22308 with 1 remainder
22308 ÷ 2 = 11154 with 0 remainder
11154 ÷ 2 = 5577 with 0 remainder
5577 ÷ 2 = 2788 with 1 remainder
2788 ÷ 2 = 1394 with 0 remainder
1394 ÷ 2 = 697 with 0 remainder
697 ÷ 2 = 348 with 1 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 AE49 hexadecimal to binary:

AE49 hexadecimal = 1010111001001001 binary

Hexadecimal to Binary Converter
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