5FF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5FF 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 5FF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5FF by 16⁰, multiply the second to last digit in 5FF by 16¹, multiply the third to last digit in 5FF by 16², multiply the fourth to last digit in 5FF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
F × 16¹ = 240
5 × 16² = 1280

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:

15 + 240 + 1280 = 1535

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.

1535 ÷ 2 = 767 with 1 remainder
767 ÷ 2 = 383 with 1 remainder
383 ÷ 2 = 191 with 1 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 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 5FF hexadecimal to binary:

5FF hexadecimal = 10111111111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

600 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.