F36B hexadecimal to binary

Here we will show you how to convert the hexadecimal number F36B 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 F36B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F36B by 16⁰, multiply the second to last digit in F36B by 16¹, multiply the third to last digit in F36B by 16², multiply the fourth to last digit in F36B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
3 × 16² = 768
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:

11 + 96 + 768 + 61440 = 62315

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.

62315 ÷ 2 = 31157 with 1 remainder
31157 ÷ 2 = 15578 with 1 remainder
15578 ÷ 2 = 7789 with 0 remainder
7789 ÷ 2 = 3894 with 1 remainder
3894 ÷ 2 = 1947 with 0 remainder
1947 ÷ 2 = 973 with 1 remainder
973 ÷ 2 = 486 with 1 remainder
486 ÷ 2 = 243 with 0 remainder
243 ÷ 2 = 121 with 1 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 F36B hexadecimal to binary:

F36B hexadecimal = 1111001101101011 binary

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