FA80 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA80 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 FA80 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA80 by 16⁰, multiply the second to last digit in FA80 by 16¹, multiply the third to last digit in FA80 by 16², multiply the fourth to last digit in FA80 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
8 × 16¹ = 128
A × 16² = 2560
F × 16³ = 61440

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:

0 + 128 + 2560 + 61440 = 64128

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.

64128 ÷ 2 = 32064 with 0 remainder
32064 ÷ 2 = 16032 with 0 remainder
16032 ÷ 2 = 8016 with 0 remainder
8016 ÷ 2 = 4008 with 0 remainder
4008 ÷ 2 = 2004 with 0 remainder
2004 ÷ 2 = 1002 with 0 remainder
1002 ÷ 2 = 501 with 0 remainder
501 ÷ 2 = 250 with 1 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 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 FA80 hexadecimal to binary:

FA80 hexadecimal = 1111101010000000 binary

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

FA81 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.