C27E hexadecimal to binary

Here we will show you how to convert the hexadecimal number C27E 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 C27E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C27E by 16⁰, multiply the second to last digit in C27E by 16¹, multiply the third to last digit in C27E by 16², multiply the fourth to last digit in C27E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
7 × 16¹ = 112
2 × 16² = 512
C × 16³ = 49152

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 + 112 + 512 + 49152 = 49790

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.

49790 ÷ 2 = 24895 with 0 remainder
24895 ÷ 2 = 12447 with 1 remainder
12447 ÷ 2 = 6223 with 1 remainder
6223 ÷ 2 = 3111 with 1 remainder
3111 ÷ 2 = 1555 with 1 remainder
1555 ÷ 2 = 777 with 1 remainder
777 ÷ 2 = 388 with 1 remainder
388 ÷ 2 = 194 with 0 remainder
194 ÷ 2 = 97 with 0 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 C27E hexadecimal to binary:

C27E hexadecimal = 1100001001111110 binary

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C27F hexadecimal to binary
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