B89B hexadecimal to binary

Here we will show you how to convert the hexadecimal number B89B 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 B89B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B89B by 16⁰, multiply the second to last digit in B89B by 16¹, multiply the third to last digit in B89B by 16², multiply the fourth to last digit in B89B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
9 × 16¹ = 144
8 × 16² = 2048
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:

11 + 144 + 2048 + 45056 = 47259

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.

47259 ÷ 2 = 23629 with 1 remainder
23629 ÷ 2 = 11814 with 1 remainder
11814 ÷ 2 = 5907 with 0 remainder
5907 ÷ 2 = 2953 with 1 remainder
2953 ÷ 2 = 1476 with 1 remainder
1476 ÷ 2 = 738 with 0 remainder
738 ÷ 2 = 369 with 0 remainder
369 ÷ 2 = 184 with 1 remainder
184 ÷ 2 = 92 with 0 remainder
92 ÷ 2 = 46 with 0 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 B89B hexadecimal to binary:

B89B hexadecimal = 1011100010011011 binary

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

B89C hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.