8721 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8721 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 8721 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8721 by 16⁰, multiply the second to last digit in 8721 by 16¹, multiply the third to last digit in 8721 by 16², multiply the fourth to last digit in 8721 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
7 × 16² = 1792
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:

1 + 32 + 1792 + 32768 = 34593

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.

34593 ÷ 2 = 17296 with 1 remainder
17296 ÷ 2 = 8648 with 0 remainder
8648 ÷ 2 = 4324 with 0 remainder
4324 ÷ 2 = 2162 with 0 remainder
2162 ÷ 2 = 1081 with 0 remainder
1081 ÷ 2 = 540 with 1 remainder
540 ÷ 2 = 270 with 0 remainder
270 ÷ 2 = 135 with 0 remainder
135 ÷ 2 = 67 with 1 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 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 8721 hexadecimal to binary:

8721 hexadecimal = 1000011100100001 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

8722 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.