6FB3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6FB3 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 6FB3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6FB3 by 16⁰, multiply the second to last digit in 6FB3 by 16¹, multiply the third to last digit in 6FB3 by 16², multiply the fourth to last digit in 6FB3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
F × 16² = 3840
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:

3 + 176 + 3840 + 24576 = 28595

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.

28595 ÷ 2 = 14297 with 1 remainder
14297 ÷ 2 = 7148 with 1 remainder
7148 ÷ 2 = 3574 with 0 remainder
3574 ÷ 2 = 1787 with 0 remainder
1787 ÷ 2 = 893 with 1 remainder
893 ÷ 2 = 446 with 1 remainder
446 ÷ 2 = 223 with 0 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 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 6FB3 hexadecimal to binary:

6FB3 hexadecimal = 110111110110011 binary

Hexadecimal to Binary Converter
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