98F8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 98F8 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 98F8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 98F8 by 16⁰, multiply the second to last digit in 98F8 by 16¹, multiply the third to last digit in 98F8 by 16², multiply the fourth to last digit in 98F8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
F × 16¹ = 240
8 × 16² = 2048
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:

8 + 240 + 2048 + 36864 = 39160

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.

39160 ÷ 2 = 19580 with 0 remainder
19580 ÷ 2 = 9790 with 0 remainder
9790 ÷ 2 = 4895 with 0 remainder
4895 ÷ 2 = 2447 with 1 remainder
2447 ÷ 2 = 1223 with 1 remainder
1223 ÷ 2 = 611 with 1 remainder
611 ÷ 2 = 305 with 1 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 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 98F8 hexadecimal to binary:

98F8 hexadecimal = 1001100011111000 binary

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98F9 hexadecimal to binary
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