9FF4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9FF4 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 9FF4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9FF4 by 16⁰, multiply the second to last digit in 9FF4 by 16¹, multiply the third to last digit in 9FF4 by 16², multiply the fourth to last digit in 9FF4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
F × 16¹ = 240
F × 16² = 3840
9 × 16³ = 36864

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:

4 + 240 + 3840 + 36864 = 40948

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.

40948 ÷ 2 = 20474 with 0 remainder
20474 ÷ 2 = 10237 with 0 remainder
10237 ÷ 2 = 5118 with 1 remainder
5118 ÷ 2 = 2559 with 0 remainder
2559 ÷ 2 = 1279 with 1 remainder
1279 ÷ 2 = 639 with 1 remainder
639 ÷ 2 = 319 with 1 remainder
319 ÷ 2 = 159 with 1 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 9FF4 hexadecimal to binary:

9FF4 hexadecimal = 1001111111110100 binary

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