5F0B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5F0B 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 5F0B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5F0B by 16⁰, multiply the second to last digit in 5F0B by 16¹, multiply the third to last digit in 5F0B by 16², multiply the fourth to last digit in 5F0B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
F × 16² = 3840
5 × 16³ = 20480

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:

11 + 0 + 3840 + 20480 = 24331

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.

24331 ÷ 2 = 12165 with 1 remainder
12165 ÷ 2 = 6082 with 1 remainder
6082 ÷ 2 = 3041 with 0 remainder
3041 ÷ 2 = 1520 with 1 remainder
1520 ÷ 2 = 760 with 0 remainder
760 ÷ 2 = 380 with 0 remainder
380 ÷ 2 = 190 with 0 remainder
190 ÷ 2 = 95 with 0 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 5F0B hexadecimal to binary:

5F0B hexadecimal = 101111100001011 binary

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