8FA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8FA 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 8FA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8FA by 16⁰, multiply the second to last digit in 8FA by 16¹, multiply the third to last digit in 8FA by 16², multiply the fourth to last digit in 8FA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
8 × 16² = 2048

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:

10 + 240 + 2048 = 2298

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.

2298 ÷ 2 = 1149 with 0 remainder
1149 ÷ 2 = 574 with 1 remainder
574 ÷ 2 = 287 with 0 remainder
287 ÷ 2 = 143 with 1 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 8FA hexadecimal to binary:

8FA hexadecimal = 100011111010 binary

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8FB hexadecimal to binary
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