251B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 251B 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 251B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 251B by 16⁰, multiply the second to last digit in 251B by 16¹, multiply the third to last digit in 251B by 16², multiply the fourth to last digit in 251B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
1 × 16¹ = 16
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 + 16 + 1280 + 8192 = 9499

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.

9499 ÷ 2 = 4749 with 1 remainder
4749 ÷ 2 = 2374 with 1 remainder
2374 ÷ 2 = 1187 with 0 remainder
1187 ÷ 2 = 593 with 1 remainder
593 ÷ 2 = 296 with 1 remainder
296 ÷ 2 = 148 with 0 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 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 251B hexadecimal to binary:

251B hexadecimal = 10010100011011 binary

Hexadecimal to Binary Converter
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