BAB3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BAB3 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 BAB3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BAB3 by 16⁰, multiply the second to last digit in BAB3 by 16¹, multiply the third to last digit in BAB3 by 16², multiply the fourth to last digit in BAB3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
A × 16² = 2560
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 + 2560 + 45056 = 47795

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.

47795 ÷ 2 = 23897 with 1 remainder
23897 ÷ 2 = 11948 with 1 remainder
11948 ÷ 2 = 5974 with 0 remainder
5974 ÷ 2 = 2987 with 0 remainder
2987 ÷ 2 = 1493 with 1 remainder
1493 ÷ 2 = 746 with 1 remainder
746 ÷ 2 = 373 with 0 remainder
373 ÷ 2 = 186 with 1 remainder
186 ÷ 2 = 93 with 0 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 BAB3 hexadecimal to binary:

BAB3 hexadecimal = 1011101010110011 binary

Hexadecimal to Binary Converter
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