F5A9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F5A9 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 F5A9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F5A9 by 16⁰, multiply the second to last digit in F5A9 by 16¹, multiply the third to last digit in F5A9 by 16², multiply the fourth to last digit in F5A9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
A × 16¹ = 160
5 × 16² = 1280
F × 16³ = 61440

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 + 160 + 1280 + 61440 = 62889

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.

62889 ÷ 2 = 31444 with 1 remainder
31444 ÷ 2 = 15722 with 0 remainder
15722 ÷ 2 = 7861 with 0 remainder
7861 ÷ 2 = 3930 with 1 remainder
3930 ÷ 2 = 1965 with 0 remainder
1965 ÷ 2 = 982 with 1 remainder
982 ÷ 2 = 491 with 0 remainder
491 ÷ 2 = 245 with 1 remainder
245 ÷ 2 = 122 with 1 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 F5A9 hexadecimal to binary:

F5A9 hexadecimal = 1111010110101001 binary

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F5AA hexadecimal to binary
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