F15 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F15 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 F15 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F15 by 16⁰, multiply the second to last digit in F15 by 16¹, multiply the third to last digit in F15 by 16², multiply the fourth to last digit in F15 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
1 × 16¹ = 16
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:

5 + 16 + 3840 = 3861

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.

3861 ÷ 2 = 1930 with 1 remainder
1930 ÷ 2 = 965 with 0 remainder
965 ÷ 2 = 482 with 1 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 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 F15 hexadecimal to binary:

F15 hexadecimal = 111100010101 binary

Hexadecimal to Binary Converter
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F16 hexadecimal to binary
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