5BF hexadecimal to binary

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

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

F × 16⁰ = 15
B × 16¹ = 176
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 + 176 + 1280 = 1471

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.

1471 ÷ 2 = 735 with 1 remainder
735 ÷ 2 = 367 with 1 remainder
367 ÷ 2 = 183 with 1 remainder
183 ÷ 2 = 91 with 1 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 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 5BF hexadecimal to binary:

5BF hexadecimal = 10110111111 binary

Hexadecimal to Binary Converter
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