B41B hexadecimal to binary

Here we will show you how to convert the hexadecimal number B41B 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 B41B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B41B by 16⁰, multiply the second to last digit in B41B by 16¹, multiply the third to last digit in B41B by 16², multiply the fourth to last digit in B41B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
1 × 16¹ = 16
4 × 16² = 1024
B × 16³ = 45056

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 + 1024 + 45056 = 46107

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.

46107 ÷ 2 = 23053 with 1 remainder
23053 ÷ 2 = 11526 with 1 remainder
11526 ÷ 2 = 5763 with 0 remainder
5763 ÷ 2 = 2881 with 1 remainder
2881 ÷ 2 = 1440 with 1 remainder
1440 ÷ 2 = 720 with 0 remainder
720 ÷ 2 = 360 with 0 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 B41B hexadecimal to binary:

B41B hexadecimal = 1011010000011011 binary

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