F54 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F54 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 F54 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F54 by 16⁰, multiply the second to last digit in F54 by 16¹, multiply the third to last digit in F54 by 16², multiply the fourth to last digit in F54 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
5 × 16¹ = 80
F × 16² = 3840

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:

4 + 80 + 3840 = 3924

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.

3924 ÷ 2 = 1962 with 0 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 F54 hexadecimal to binary:

F54 hexadecimal = 111101010100 binary

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F55 hexadecimal to binary
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