1F9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1F9 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 1F9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1F9 by 16⁰, multiply the second to last digit in 1F9 by 16¹, multiply the third to last digit in 1F9 by 16², multiply the fourth to last digit in 1F9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
F × 16¹ = 240
1 × 16² = 256

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:

9 + 240 + 256 = 505

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.

505 ÷ 2 = 252 with 1 remainder
252 ÷ 2 = 126 with 0 remainder
126 ÷ 2 = 63 with 0 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 1F9 hexadecimal to binary:

1F9 hexadecimal = 111111001 binary

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1FA hexadecimal to binary
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