F60C hexadecimal to binary

Here we will show you how to convert the hexadecimal number F60C 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 F60C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F60C by 16⁰, multiply the second to last digit in F60C by 16¹, multiply the third to last digit in F60C by 16², multiply the fourth to last digit in F60C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
0 × 16¹ = 0
6 × 16² = 1536
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 + 0 + 1536 + 61440 = 62988

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.

62988 ÷ 2 = 31494 with 0 remainder
31494 ÷ 2 = 15747 with 0 remainder
15747 ÷ 2 = 7873 with 1 remainder
7873 ÷ 2 = 3936 with 1 remainder
3936 ÷ 2 = 1968 with 0 remainder
1968 ÷ 2 = 984 with 0 remainder
984 ÷ 2 = 492 with 0 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 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 F60C hexadecimal to binary:

F60C hexadecimal = 1111011000001100 binary

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