B6AB hexadecimal to binary

Here we will show you how to convert the hexadecimal number B6AB 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 B6AB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B6AB by 16⁰, multiply the second to last digit in B6AB by 16¹, multiply the third to last digit in B6AB by 16², multiply the fourth to last digit in B6AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
6 × 16² = 1536
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 + 160 + 1536 + 45056 = 46763

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.

46763 ÷ 2 = 23381 with 1 remainder
23381 ÷ 2 = 11690 with 1 remainder
11690 ÷ 2 = 5845 with 0 remainder
5845 ÷ 2 = 2922 with 1 remainder
2922 ÷ 2 = 1461 with 0 remainder
1461 ÷ 2 = 730 with 1 remainder
730 ÷ 2 = 365 with 0 remainder
365 ÷ 2 = 182 with 1 remainder
182 ÷ 2 = 91 with 0 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 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 B6AB hexadecimal to binary:

B6AB hexadecimal = 1011011010101011 binary

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B6AC hexadecimal to binary
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