408A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 408A 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 408A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 408A by 16⁰, multiply the second to last digit in 408A by 16¹, multiply the third to last digit in 408A by 16², multiply the fourth to last digit in 408A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
0 × 16² = 0
4 × 16³ = 16384

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:

10 + 128 + 0 + 16384 = 16522

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.

16522 ÷ 2 = 8261 with 0 remainder
8261 ÷ 2 = 4130 with 1 remainder
4130 ÷ 2 = 2065 with 0 remainder
2065 ÷ 2 = 1032 with 1 remainder
1032 ÷ 2 = 516 with 0 remainder
516 ÷ 2 = 258 with 0 remainder
258 ÷ 2 = 129 with 0 remainder
129 ÷ 2 = 64 with 1 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 408A hexadecimal to binary:

408A hexadecimal = 100000010001010 binary

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408B hexadecimal to binary
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