8FAB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8FAB 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 8FAB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8FAB by 16⁰, multiply the second to last digit in 8FAB by 16¹, multiply the third to last digit in 8FAB by 16², multiply the fourth to last digit in 8FAB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
F × 16² = 3840
8 × 16³ = 32768

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 + 3840 + 32768 = 36779

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.

36779 ÷ 2 = 18389 with 1 remainder
18389 ÷ 2 = 9194 with 1 remainder
9194 ÷ 2 = 4597 with 0 remainder
4597 ÷ 2 = 2298 with 1 remainder
2298 ÷ 2 = 1149 with 0 remainder
1149 ÷ 2 = 574 with 1 remainder
574 ÷ 2 = 287 with 0 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8FAB hexadecimal to binary:

8FAB hexadecimal = 1000111110101011 binary

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8FAC hexadecimal to binary
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