6AE2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6AE2 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 6AE2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6AE2 by 16⁰, multiply the second to last digit in 6AE2 by 16¹, multiply the third to last digit in 6AE2 by 16², multiply the fourth to last digit in 6AE2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
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:

2 + 224 + 2560 + 24576 = 27362

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.

27362 ÷ 2 = 13681 with 0 remainder
13681 ÷ 2 = 6840 with 1 remainder
6840 ÷ 2 = 3420 with 0 remainder
3420 ÷ 2 = 1710 with 0 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 6AE2 hexadecimal to binary:

6AE2 hexadecimal = 110101011100010 binary

Hexadecimal to Binary Converter
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