F038 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F038 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 F038 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F038 by 16⁰, multiply the second to last digit in F038 by 16¹, multiply the third to last digit in F038 by 16², multiply the fourth to last digit in F038 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
3 × 16¹ = 48
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:

8 + 48 + 0 + 61440 = 61496

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.

61496 ÷ 2 = 30748 with 0 remainder
30748 ÷ 2 = 15374 with 0 remainder
15374 ÷ 2 = 7687 with 0 remainder
7687 ÷ 2 = 3843 with 1 remainder
3843 ÷ 2 = 1921 with 1 remainder
1921 ÷ 2 = 960 with 1 remainder
960 ÷ 2 = 480 with 0 remainder
480 ÷ 2 = 240 with 0 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 F038 hexadecimal to binary:

F038 hexadecimal = 1111000000111000 binary

Hexadecimal to Binary Converter
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F039 hexadecimal to binary
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