A228 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A228 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 A228 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A228 by 16⁰, multiply the second to last digit in A228 by 16¹, multiply the third to last digit in A228 by 16², multiply the fourth to last digit in A228 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
2 × 16¹ = 32
2 × 16² = 512
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:

8 + 32 + 512 + 40960 = 41512

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.

41512 ÷ 2 = 20756 with 0 remainder
20756 ÷ 2 = 10378 with 0 remainder
10378 ÷ 2 = 5189 with 0 remainder
5189 ÷ 2 = 2594 with 1 remainder
2594 ÷ 2 = 1297 with 0 remainder
1297 ÷ 2 = 648 with 1 remainder
648 ÷ 2 = 324 with 0 remainder
324 ÷ 2 = 162 with 0 remainder
162 ÷ 2 = 81 with 0 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 A228 hexadecimal to binary:

A228 hexadecimal = 1010001000101000 binary

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A229 hexadecimal to binary
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