FA78 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FA78 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 FA78 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FA78 by 16⁰, multiply the second to last digit in FA78 by 16¹, multiply the third to last digit in FA78 by 16², multiply the fourth to last digit in FA78 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
7 × 16¹ = 112
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:

8 + 112 + 2560 + 61440 = 64120

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.

64120 ÷ 2 = 32060 with 0 remainder
32060 ÷ 2 = 16030 with 0 remainder
16030 ÷ 2 = 8015 with 0 remainder
8015 ÷ 2 = 4007 with 1 remainder
4007 ÷ 2 = 2003 with 1 remainder
2003 ÷ 2 = 1001 with 1 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 FA78 hexadecimal to binary:

FA78 hexadecimal = 1111101001111000 binary

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FA79 hexadecimal to binary
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