25FB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 25FB 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 25FB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 25FB by 16⁰, multiply the second to last digit in 25FB by 16¹, multiply the third to last digit in 25FB by 16², multiply the fourth to last digit in 25FB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
F × 16¹ = 240
5 × 16² = 1280
2 × 16³ = 8192

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 + 240 + 1280 + 8192 = 9723

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.

9723 ÷ 2 = 4861 with 1 remainder
4861 ÷ 2 = 2430 with 1 remainder
2430 ÷ 2 = 1215 with 0 remainder
1215 ÷ 2 = 607 with 1 remainder
607 ÷ 2 = 303 with 1 remainder
303 ÷ 2 = 151 with 1 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 25FB hexadecimal to binary:

25FB hexadecimal = 10010111111011 binary

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25FC hexadecimal to binary
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