4FAA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4FAA 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 4FAA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4FAA by 16⁰, multiply the second to last digit in 4FAA by 16¹, multiply the third to last digit in 4FAA by 16², multiply the fourth to last digit in 4FAA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
F × 16² = 3840
4 × 16³ = 16384

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 + 160 + 3840 + 16384 = 20394

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.

20394 ÷ 2 = 10197 with 0 remainder
10197 ÷ 2 = 5098 with 1 remainder
5098 ÷ 2 = 2549 with 0 remainder
2549 ÷ 2 = 1274 with 1 remainder
1274 ÷ 2 = 637 with 0 remainder
637 ÷ 2 = 318 with 1 remainder
318 ÷ 2 = 159 with 0 remainder
159 ÷ 2 = 79 with 1 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 4FAA hexadecimal to binary:

4FAA hexadecimal = 100111110101010 binary

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

4FAB hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.