FAB hexadecimal to binary

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

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

B × 16⁰ = 11
A × 16¹ = 160
F × 16² = 3840

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 = 4011

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.

4011 ÷ 2 = 2005 with 1 remainder
2005 ÷ 2 = 1002 with 1 remainder
1002 ÷ 2 = 501 with 0 remainder
501 ÷ 2 = 250 with 1 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 FAB hexadecimal to binary:

FAB hexadecimal = 111110101011 binary

Hexadecimal to Binary Converter
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FAC hexadecimal to binary
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