BB13 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BB13 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 BB13 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BB13 by 16⁰, multiply the second to last digit in BB13 by 16¹, multiply the third to last digit in BB13 by 16², multiply the fourth to last digit in BB13 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
1 × 16¹ = 16
B × 16² = 2816
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 + 16 + 2816 + 45056 = 47891

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.

47891 ÷ 2 = 23945 with 1 remainder
23945 ÷ 2 = 11972 with 1 remainder
11972 ÷ 2 = 5986 with 0 remainder
5986 ÷ 2 = 2993 with 0 remainder
2993 ÷ 2 = 1496 with 1 remainder
1496 ÷ 2 = 748 with 0 remainder
748 ÷ 2 = 374 with 0 remainder
374 ÷ 2 = 187 with 0 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 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 BB13 hexadecimal to binary:

BB13 hexadecimal = 1011101100010011 binary

Hexadecimal to Binary Converter
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