8F63 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8F63 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 8F63 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8F63 by 16⁰, multiply the second to last digit in 8F63 by 16¹, multiply the third to last digit in 8F63 by 16², multiply the fourth to last digit in 8F63 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
6 × 16¹ = 96
F × 16² = 3840
8 × 16³ = 32768

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 + 96 + 3840 + 32768 = 36707

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.

36707 ÷ 2 = 18353 with 1 remainder
18353 ÷ 2 = 9176 with 1 remainder
9176 ÷ 2 = 4588 with 0 remainder
4588 ÷ 2 = 2294 with 0 remainder
2294 ÷ 2 = 1147 with 0 remainder
1147 ÷ 2 = 573 with 1 remainder
573 ÷ 2 = 286 with 1 remainder
286 ÷ 2 = 143 with 0 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 8F63 hexadecimal to binary:

8F63 hexadecimal = 1000111101100011 binary

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