F55A hexadecimal to binary

Here we will show you how to convert the hexadecimal number F55A 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 F55A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F55A by 16⁰, multiply the second to last digit in F55A by 16¹, multiply the third to last digit in F55A by 16², multiply the fourth to last digit in F55A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
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:

10 + 80 + 1280 + 61440 = 62810

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.

62810 ÷ 2 = 31405 with 0 remainder
31405 ÷ 2 = 15702 with 1 remainder
15702 ÷ 2 = 7851 with 0 remainder
7851 ÷ 2 = 3925 with 1 remainder
3925 ÷ 2 = 1962 with 1 remainder
1962 ÷ 2 = 981 with 0 remainder
981 ÷ 2 = 490 with 1 remainder
490 ÷ 2 = 245 with 0 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 F55A hexadecimal to binary:

F55A hexadecimal = 1111010101011010 binary

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F55B hexadecimal to binary
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