F265 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F265 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 F265 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F265 by 16⁰, multiply the second to last digit in F265 by 16¹, multiply the third to last digit in F265 by 16², multiply the fourth to last digit in F265 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
6 × 16¹ = 96
2 × 16² = 512
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:

5 + 96 + 512 + 61440 = 62053

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.

62053 ÷ 2 = 31026 with 1 remainder
31026 ÷ 2 = 15513 with 0 remainder
15513 ÷ 2 = 7756 with 1 remainder
7756 ÷ 2 = 3878 with 0 remainder
3878 ÷ 2 = 1939 with 0 remainder
1939 ÷ 2 = 969 with 1 remainder
969 ÷ 2 = 484 with 1 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 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 F265 hexadecimal to binary:

F265 hexadecimal = 1111001001100101 binary

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F266 hexadecimal to binary
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