FF41 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FF41 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 FF41 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FF41 by 16⁰, multiply the second to last digit in FF41 by 16¹, multiply the third to last digit in FF41 by 16², multiply the fourth to last digit in FF41 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
4 × 16¹ = 64
F × 16² = 3840
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 + 64 + 3840 + 61440 = 65345

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.

65345 ÷ 2 = 32672 with 1 remainder
32672 ÷ 2 = 16336 with 0 remainder
16336 ÷ 2 = 8168 with 0 remainder
8168 ÷ 2 = 4084 with 0 remainder
4084 ÷ 2 = 2042 with 0 remainder
2042 ÷ 2 = 1021 with 0 remainder
1021 ÷ 2 = 510 with 1 remainder
510 ÷ 2 = 255 with 0 remainder
255 ÷ 2 = 127 with 1 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 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 FF41 hexadecimal to binary:

FF41 hexadecimal = 1111111101000001 binary

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FF42 hexadecimal to binary
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