FA42 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA42 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 FA42 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA42 by 16⁰, multiply the second to last digit in FA42 by 16¹, multiply the third to last digit in FA42 by 16², multiply the fourth to last digit in FA42 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
4 × 16¹ = 64
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:

2 + 64 + 2560 + 61440 = 64066

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.

64066 ÷ 2 = 32033 with 0 remainder
32033 ÷ 2 = 16016 with 1 remainder
16016 ÷ 2 = 8008 with 0 remainder
8008 ÷ 2 = 4004 with 0 remainder
4004 ÷ 2 = 2002 with 0 remainder
2002 ÷ 2 = 1001 with 0 remainder
1001 ÷ 2 = 500 with 1 remainder
500 ÷ 2 = 250 with 0 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 FA42 hexadecimal to binary:

FA42 hexadecimal = 1111101001000010 binary

Hexadecimal to Binary Converter
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FA43 hexadecimal to binary
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