B0B3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B0B3 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 B0B3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B0B3 by 16⁰, multiply the second to last digit in B0B3 by 16¹, multiply the third to last digit in B0B3 by 16², multiply the fourth to last digit in B0B3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
0 × 16² = 0
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 + 176 + 0 + 45056 = 45235

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.

45235 ÷ 2 = 22617 with 1 remainder
22617 ÷ 2 = 11308 with 1 remainder
11308 ÷ 2 = 5654 with 0 remainder
5654 ÷ 2 = 2827 with 0 remainder
2827 ÷ 2 = 1413 with 1 remainder
1413 ÷ 2 = 706 with 1 remainder
706 ÷ 2 = 353 with 0 remainder
353 ÷ 2 = 176 with 1 remainder
176 ÷ 2 = 88 with 0 remainder
88 ÷ 2 = 44 with 0 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 B0B3 hexadecimal to binary:

B0B3 hexadecimal = 1011000010110011 binary

Hexadecimal to Binary Converter
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