BB8B hexadecimal to binary

Here we will show you how to convert the hexadecimal number BB8B 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 BB8B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BB8B by 16⁰, multiply the second to last digit in BB8B by 16¹, multiply the third to last digit in BB8B by 16², multiply the fourth to last digit in BB8B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
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:

11 + 128 + 2816 + 45056 = 48011

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.

48011 ÷ 2 = 24005 with 1 remainder
24005 ÷ 2 = 12002 with 1 remainder
12002 ÷ 2 = 6001 with 0 remainder
6001 ÷ 2 = 3000 with 1 remainder
3000 ÷ 2 = 1500 with 0 remainder
1500 ÷ 2 = 750 with 0 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 BB8B hexadecimal to binary:

BB8B hexadecimal = 1011101110001011 binary

Hexadecimal to Binary Converter
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