C04E hexadecimal to binary

Here we will show you how to convert the hexadecimal number C04E 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 C04E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C04E by 16⁰, multiply the second to last digit in C04E by 16¹, multiply the third to last digit in C04E by 16², multiply the fourth to last digit in C04E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
4 × 16¹ = 64
0 × 16² = 0
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 + 64 + 0 + 49152 = 49230

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.

49230 ÷ 2 = 24615 with 0 remainder
24615 ÷ 2 = 12307 with 1 remainder
12307 ÷ 2 = 6153 with 1 remainder
6153 ÷ 2 = 3076 with 1 remainder
3076 ÷ 2 = 1538 with 0 remainder
1538 ÷ 2 = 769 with 0 remainder
769 ÷ 2 = 384 with 1 remainder
384 ÷ 2 = 192 with 0 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 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 C04E hexadecimal to binary:

C04E hexadecimal = 1100000001001110 binary

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C04F hexadecimal to binary
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