F645 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F645 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 F645 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F645 by 16⁰, multiply the second to last digit in F645 by 16¹, multiply the third to last digit in F645 by 16², multiply the fourth to last digit in F645 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
4 × 16¹ = 64
6 × 16² = 1536
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:

5 + 64 + 1536 + 61440 = 63045

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.

63045 ÷ 2 = 31522 with 1 remainder
31522 ÷ 2 = 15761 with 0 remainder
15761 ÷ 2 = 7880 with 1 remainder
7880 ÷ 2 = 3940 with 0 remainder
3940 ÷ 2 = 1970 with 0 remainder
1970 ÷ 2 = 985 with 0 remainder
985 ÷ 2 = 492 with 1 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 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 F645 hexadecimal to binary:

F645 hexadecimal = 1111011001000101 binary

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F646 hexadecimal to binary
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