2F6B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2F6B 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 2F6B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2F6B by 16⁰, multiply the second to last digit in 2F6B by 16¹, multiply the third to last digit in 2F6B by 16², multiply the fourth to last digit in 2F6B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
6 × 16¹ = 96
F × 16² = 3840
2 × 16³ = 8192

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 + 3840 + 8192 = 12139

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.

12139 ÷ 2 = 6069 with 1 remainder
6069 ÷ 2 = 3034 with 1 remainder
3034 ÷ 2 = 1517 with 0 remainder
1517 ÷ 2 = 758 with 1 remainder
758 ÷ 2 = 379 with 0 remainder
379 ÷ 2 = 189 with 1 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 2F6B hexadecimal to binary:

2F6B hexadecimal = 10111101101011 binary

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