A366 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A366 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 A366 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A366 by 16⁰, multiply the second to last digit in A366 by 16¹, multiply the third to last digit in A366 by 16², multiply the fourth to last digit in A366 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
6 × 16¹ = 96
3 × 16² = 768
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:

6 + 96 + 768 + 40960 = 41830

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.

41830 ÷ 2 = 20915 with 0 remainder
20915 ÷ 2 = 10457 with 1 remainder
10457 ÷ 2 = 5228 with 1 remainder
5228 ÷ 2 = 2614 with 0 remainder
2614 ÷ 2 = 1307 with 0 remainder
1307 ÷ 2 = 653 with 1 remainder
653 ÷ 2 = 326 with 1 remainder
326 ÷ 2 = 163 with 0 remainder
163 ÷ 2 = 81 with 1 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A366 hexadecimal to binary:

A366 hexadecimal = 1010001101100110 binary

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A367 hexadecimal to binary
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