6B9F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6B9F 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 6B9F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6B9F by 16⁰, multiply the second to last digit in 6B9F by 16¹, multiply the third to last digit in 6B9F by 16², multiply the fourth to last digit in 6B9F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
9 × 16¹ = 144
B × 16² = 2816
6 × 16³ = 24576

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:

15 + 144 + 2816 + 24576 = 27551

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.

27551 ÷ 2 = 13775 with 1 remainder
13775 ÷ 2 = 6887 with 1 remainder
6887 ÷ 2 = 3443 with 1 remainder
3443 ÷ 2 = 1721 with 1 remainder
1721 ÷ 2 = 860 with 1 remainder
860 ÷ 2 = 430 with 0 remainder
430 ÷ 2 = 215 with 0 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 6B9F hexadecimal to binary:

6B9F hexadecimal = 110101110011111 binary

Hexadecimal to Binary Converter
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