F48C hexadecimal to binary

Here we will show you how to convert the hexadecimal number F48C 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 F48C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F48C by 16⁰, multiply the second to last digit in F48C by 16¹, multiply the third to last digit in F48C by 16², multiply the fourth to last digit in F48C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
8 × 16¹ = 128
4 × 16² = 1024
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 + 128 + 1024 + 61440 = 62604

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.

62604 ÷ 2 = 31302 with 0 remainder
31302 ÷ 2 = 15651 with 0 remainder
15651 ÷ 2 = 7825 with 1 remainder
7825 ÷ 2 = 3912 with 1 remainder
3912 ÷ 2 = 1956 with 0 remainder
1956 ÷ 2 = 978 with 0 remainder
978 ÷ 2 = 489 with 0 remainder
489 ÷ 2 = 244 with 1 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 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 F48C hexadecimal to binary:

F48C hexadecimal = 1111010010001100 binary

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