
Here we will show you how to convert the hexadecimal number BBA5 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 BBA5 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in BBA5 by 16⁰, multiply the second to last digit in BBA5 by 16¹, multiply the third to last digit in BBA5 by 16², multiply the fourth to last digit in BBA5 by 16³, and so on, until all the digits are used.
5 × 16⁰ = 5
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:
5 + 160 + 2816 + 45056 = 48037
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.
48037 ÷ 2 = 24018 with 1 remainder
24018 ÷ 2 = 12009 with 0 remainder
12009 ÷ 2 = 6004 with 1 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 BBA5 hexadecimal to binary:
BBA5 hexadecimal = 1011101110100101 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
BBA6 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact