6B0E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6B0E 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 6B0E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6B0E by 16⁰, multiply the second to last digit in 6B0E by 16¹, multiply the third to last digit in 6B0E by 16², multiply the fourth to last digit in 6B0E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
0 × 16¹ = 0
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:

14 + 0 + 2816 + 24576 = 27406

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.

27406 ÷ 2 = 13703 with 0 remainder
13703 ÷ 2 = 6851 with 1 remainder
6851 ÷ 2 = 3425 with 1 remainder
3425 ÷ 2 = 1712 with 1 remainder
1712 ÷ 2 = 856 with 0 remainder
856 ÷ 2 = 428 with 0 remainder
428 ÷ 2 = 214 with 0 remainder
214 ÷ 2 = 107 with 0 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 6B0E hexadecimal to binary:

6B0E hexadecimal = 110101100001110 binary

Hexadecimal to Binary Converter
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6B0F hexadecimal to binary
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