F1A1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F1A1 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 F1A1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F1A1 by 16⁰, multiply the second to last digit in F1A1 by 16¹, multiply the third to last digit in F1A1 by 16², multiply the fourth to last digit in F1A1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
A × 16¹ = 160
1 × 16² = 256
F × 16³ = 61440

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:

1 + 160 + 256 + 61440 = 61857

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.

61857 ÷ 2 = 30928 with 1 remainder
30928 ÷ 2 = 15464 with 0 remainder
15464 ÷ 2 = 7732 with 0 remainder
7732 ÷ 2 = 3866 with 0 remainder
3866 ÷ 2 = 1933 with 0 remainder
1933 ÷ 2 = 966 with 1 remainder
966 ÷ 2 = 483 with 0 remainder
483 ÷ 2 = 241 with 1 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 F1A1 hexadecimal to binary:

F1A1 hexadecimal = 1111000110100001 binary

Hexadecimal to Binary Converter
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F1A2 hexadecimal to binary
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