A408 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A408 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 A408 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A408 by 16⁰, multiply the second to last digit in A408 by 16¹, multiply the third to last digit in A408 by 16², multiply the fourth to last digit in A408 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
0 × 16¹ = 0
4 × 16² = 1024
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 + 0 + 1024 + 40960 = 41992

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.

41992 ÷ 2 = 20996 with 0 remainder
20996 ÷ 2 = 10498 with 0 remainder
10498 ÷ 2 = 5249 with 0 remainder
5249 ÷ 2 = 2624 with 1 remainder
2624 ÷ 2 = 1312 with 0 remainder
1312 ÷ 2 = 656 with 0 remainder
656 ÷ 2 = 328 with 0 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 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 A408 hexadecimal to binary:

A408 hexadecimal = 1010010000001000 binary

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A409 hexadecimal to binary
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