25B hexadecimal to binary

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

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

B × 16⁰ = 11
5 × 16¹ = 80
2 × 16² = 512

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 + 80 + 512 = 603

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.

603 ÷ 2 = 301 with 1 remainder
301 ÷ 2 = 150 with 1 remainder
150 ÷ 2 = 75 with 0 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 25B hexadecimal to binary:

25B hexadecimal = 1001011011 binary

Hexadecimal to Binary Converter
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