BBA3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BBA3 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 BBA3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BBA3 by 16⁰, multiply the second to last digit in BBA3 by 16¹, multiply the third to last digit in BBA3 by 16², multiply the fourth to last digit in BBA3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
A × 16¹ = 160
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 + 160 + 2816 + 45056 = 48035

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.

48035 ÷ 2 = 24017 with 1 remainder
24017 ÷ 2 = 12008 with 1 remainder
12008 ÷ 2 = 6004 with 0 remainder
6004 ÷ 2 = 3002 with 0 remainder
3002 ÷ 2 = 1501 with 0 remainder
1501 ÷ 2 = 750 with 1 remainder
750 ÷ 2 = 375 with 0 remainder
375 ÷ 2 = 187 with 1 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 BBA3 hexadecimal to binary:

BBA3 hexadecimal = 1011101110100011 binary

Hexadecimal to Binary Converter
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