F025 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F025 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 F025 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F025 by 16⁰, multiply the second to last digit in F025 by 16¹, multiply the third to last digit in F025 by 16², multiply the fourth to last digit in F025 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
2 × 16¹ = 32
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:

5 + 32 + 0 + 61440 = 61477

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.

61477 ÷ 2 = 30738 with 1 remainder
30738 ÷ 2 = 15369 with 0 remainder
15369 ÷ 2 = 7684 with 1 remainder
7684 ÷ 2 = 3842 with 0 remainder
3842 ÷ 2 = 1921 with 0 remainder
1921 ÷ 2 = 960 with 1 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 F025 hexadecimal to binary:

F025 hexadecimal = 1111000000100101 binary

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F026 hexadecimal to binary
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