FAFC hexadecimal to binary

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

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

C × 16⁰ = 12
F × 16¹ = 240
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:

12 + 240 + 2560 + 61440 = 64252

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.

64252 ÷ 2 = 32126 with 0 remainder
32126 ÷ 2 = 16063 with 0 remainder
16063 ÷ 2 = 8031 with 1 remainder
8031 ÷ 2 = 4015 with 1 remainder
4015 ÷ 2 = 2007 with 1 remainder
2007 ÷ 2 = 1003 with 1 remainder
1003 ÷ 2 = 501 with 1 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 FAFC hexadecimal to binary:

FAFC hexadecimal = 1111101011111100 binary

Hexadecimal to Binary Converter
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FAFD hexadecimal to binary
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