F083 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F083 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 F083 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F083 by 16⁰, multiply the second to last digit in F083 by 16¹, multiply the third to last digit in F083 by 16², multiply the fourth to last digit in F083 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
8 × 16¹ = 128
0 × 16² = 0
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:

3 + 128 + 0 + 61440 = 61571

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.

61571 ÷ 2 = 30785 with 1 remainder
30785 ÷ 2 = 15392 with 1 remainder
15392 ÷ 2 = 7696 with 0 remainder
7696 ÷ 2 = 3848 with 0 remainder
3848 ÷ 2 = 1924 with 0 remainder
1924 ÷ 2 = 962 with 0 remainder
962 ÷ 2 = 481 with 0 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 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 F083 hexadecimal to binary:

F083 hexadecimal = 1111000010000011 binary

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F084 hexadecimal to binary
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