F93 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F93 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 F93 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F93 by 16⁰, multiply the second to last digit in F93 by 16¹, multiply the third to last digit in F93 by 16², multiply the fourth to last digit in F93 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
9 × 16¹ = 144
F × 16² = 3840

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:

3 + 144 + 3840 = 3987

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.

3987 ÷ 2 = 1993 with 1 remainder
1993 ÷ 2 = 996 with 1 remainder
996 ÷ 2 = 498 with 0 remainder
498 ÷ 2 = 249 with 0 remainder
249 ÷ 2 = 124 with 1 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 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 F93 hexadecimal to binary:

F93 hexadecimal = 111110010011 binary

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F94 hexadecimal to binary
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