6A27 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6A27 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 6A27 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6A27 by 16⁰, multiply the second to last digit in 6A27 by 16¹, multiply the third to last digit in 6A27 by 16², multiply the fourth to last digit in 6A27 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
2 × 16¹ = 32
A × 16² = 2560
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:

7 + 32 + 2560 + 24576 = 27175

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.

27175 ÷ 2 = 13587 with 1 remainder
13587 ÷ 2 = 6793 with 1 remainder
6793 ÷ 2 = 3396 with 1 remainder
3396 ÷ 2 = 1698 with 0 remainder
1698 ÷ 2 = 849 with 0 remainder
849 ÷ 2 = 424 with 1 remainder
424 ÷ 2 = 212 with 0 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 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 6A27 hexadecimal to binary:

6A27 hexadecimal = 110101000100111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

6A28 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.