F258 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F258 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 F258 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F258 by 16⁰, multiply the second to last digit in F258 by 16¹, multiply the third to last digit in F258 by 16², multiply the fourth to last digit in F258 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
5 × 16¹ = 80
2 × 16² = 512
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:

8 + 80 + 512 + 61440 = 62040

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.

62040 ÷ 2 = 31020 with 0 remainder
31020 ÷ 2 = 15510 with 0 remainder
15510 ÷ 2 = 7755 with 0 remainder
7755 ÷ 2 = 3877 with 1 remainder
3877 ÷ 2 = 1938 with 1 remainder
1938 ÷ 2 = 969 with 0 remainder
969 ÷ 2 = 484 with 1 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 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 F258 hexadecimal to binary:

F258 hexadecimal = 1111001001011000 binary

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

F259 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.