F398 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F398 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 F398 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F398 by 16⁰, multiply the second to last digit in F398 by 16¹, multiply the third to last digit in F398 by 16², multiply the fourth to last digit in F398 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
9 × 16¹ = 144
3 × 16² = 768
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:

8 + 144 + 768 + 61440 = 62360

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.

62360 ÷ 2 = 31180 with 0 remainder
31180 ÷ 2 = 15590 with 0 remainder
15590 ÷ 2 = 7795 with 0 remainder
7795 ÷ 2 = 3897 with 1 remainder
3897 ÷ 2 = 1948 with 1 remainder
1948 ÷ 2 = 974 with 0 remainder
974 ÷ 2 = 487 with 0 remainder
487 ÷ 2 = 243 with 1 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 F398 hexadecimal to binary:

F398 hexadecimal = 1111001110011000 binary

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F399 hexadecimal to binary
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