6AEF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6AEF 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 6AEF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6AEF by 16⁰, multiply the second to last digit in 6AEF by 16¹, multiply the third to last digit in 6AEF by 16², multiply the fourth to last digit in 6AEF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
A × 16² = 2560
6 × 16³ = 24576

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:

15 + 224 + 2560 + 24576 = 27375

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.

27375 ÷ 2 = 13687 with 1 remainder
13687 ÷ 2 = 6843 with 1 remainder
6843 ÷ 2 = 3421 with 1 remainder
3421 ÷ 2 = 1710 with 1 remainder
1710 ÷ 2 = 855 with 0 remainder
855 ÷ 2 = 427 with 1 remainder
427 ÷ 2 = 213 with 1 remainder
213 ÷ 2 = 106 with 1 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 6AEF hexadecimal to binary:

6AEF hexadecimal = 110101011101111 binary

Hexadecimal to Binary Converter
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