F01F hexadecimal to binary

Here we will show you how to convert the hexadecimal number F01F 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 F01F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F01F by 16⁰, multiply the second to last digit in F01F by 16¹, multiply the third to last digit in F01F by 16², multiply the fourth to last digit in F01F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
0 × 16² = 0
F × 16³ = 61440

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 + 16 + 0 + 61440 = 61471

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.

61471 ÷ 2 = 30735 with 1 remainder
30735 ÷ 2 = 15367 with 1 remainder
15367 ÷ 2 = 7683 with 1 remainder
7683 ÷ 2 = 3841 with 1 remainder
3841 ÷ 2 = 1920 with 1 remainder
1920 ÷ 2 = 960 with 0 remainder
960 ÷ 2 = 480 with 0 remainder
480 ÷ 2 = 240 with 0 remainder
240 ÷ 2 = 120 with 0 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 F01F hexadecimal to binary:

F01F hexadecimal = 1111000000011111 binary

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

F020 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.