8F49 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8F49 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 8F49 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8F49 by 16⁰, multiply the second to last digit in 8F49 by 16¹, multiply the third to last digit in 8F49 by 16², multiply the fourth to last digit in 8F49 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
4 × 16¹ = 64
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:

9 + 64 + 3840 + 32768 = 36681

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.

36681 ÷ 2 = 18340 with 1 remainder
18340 ÷ 2 = 9170 with 0 remainder
9170 ÷ 2 = 4585 with 0 remainder
4585 ÷ 2 = 2292 with 1 remainder
2292 ÷ 2 = 1146 with 0 remainder
1146 ÷ 2 = 573 with 0 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 8F49 hexadecimal to binary:

8F49 hexadecimal = 1000111101001001 binary

Hexadecimal to Binary Converter
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