4AE5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4AE5 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 4AE5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4AE5 by 16⁰, multiply the second to last digit in 4AE5 by 16¹, multiply the third to last digit in 4AE5 by 16², multiply the fourth to last digit in 4AE5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
E × 16¹ = 224
A × 16² = 2560
4 × 16³ = 16384

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:

5 + 224 + 2560 + 16384 = 19173

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.

19173 ÷ 2 = 9586 with 1 remainder
9586 ÷ 2 = 4793 with 0 remainder
4793 ÷ 2 = 2396 with 1 remainder
2396 ÷ 2 = 1198 with 0 remainder
1198 ÷ 2 = 599 with 0 remainder
599 ÷ 2 = 299 with 1 remainder
299 ÷ 2 = 149 with 1 remainder
149 ÷ 2 = 74 with 1 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 4AE5 hexadecimal to binary:

4AE5 hexadecimal = 100101011100101 binary

Hexadecimal to Binary Converter
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