FA8A hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA8A 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 FA8A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA8A by 16⁰, multiply the second to last digit in FA8A by 16¹, multiply the third to last digit in FA8A by 16², multiply the fourth to last digit in FA8A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
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:

10 + 128 + 2560 + 61440 = 64138

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.

64138 ÷ 2 = 32069 with 0 remainder
32069 ÷ 2 = 16034 with 1 remainder
16034 ÷ 2 = 8017 with 0 remainder
8017 ÷ 2 = 4008 with 1 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 FA8A hexadecimal to binary:

FA8A hexadecimal = 1111101010001010 binary

Hexadecimal to Binary Converter
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FA8B hexadecimal to binary
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