BAB6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BAB6 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 BAB6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BAB6 by 16⁰, multiply the second to last digit in BAB6 by 16¹, multiply the third to last digit in BAB6 by 16², multiply the fourth to last digit in BAB6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
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:

6 + 176 + 2560 + 45056 = 47798

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.

47798 ÷ 2 = 23899 with 0 remainder
23899 ÷ 2 = 11949 with 1 remainder
11949 ÷ 2 = 5974 with 1 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 BAB6 hexadecimal to binary:

BAB6 hexadecimal = 1011101010110110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

BAB7 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.