B263 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B263 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 B263 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B263 by 16⁰, multiply the second to last digit in B263 by 16¹, multiply the third to last digit in B263 by 16², multiply the fourth to last digit in B263 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
6 × 16¹ = 96
2 × 16² = 512
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:

3 + 96 + 512 + 45056 = 45667

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.

45667 ÷ 2 = 22833 with 1 remainder
22833 ÷ 2 = 11416 with 1 remainder
11416 ÷ 2 = 5708 with 0 remainder
5708 ÷ 2 = 2854 with 0 remainder
2854 ÷ 2 = 1427 with 0 remainder
1427 ÷ 2 = 713 with 1 remainder
713 ÷ 2 = 356 with 1 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 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 B263 hexadecimal to binary:

B263 hexadecimal = 1011001001100011 binary

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B264 hexadecimal to binary
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