A809 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A809 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 A809 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A809 by 16⁰, multiply the second to last digit in A809 by 16¹, multiply the third to last digit in A809 by 16², multiply the fourth to last digit in A809 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
0 × 16¹ = 0
8 × 16² = 2048
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:

9 + 0 + 2048 + 40960 = 43017

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.

43017 ÷ 2 = 21508 with 1 remainder
21508 ÷ 2 = 10754 with 0 remainder
10754 ÷ 2 = 5377 with 0 remainder
5377 ÷ 2 = 2688 with 1 remainder
2688 ÷ 2 = 1344 with 0 remainder
1344 ÷ 2 = 672 with 0 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 A809 hexadecimal to binary:

A809 hexadecimal = 1010100000001001 binary

Hexadecimal to Binary Converter
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