C03E hexadecimal to binary

Here we will show you how to convert the hexadecimal number C03E 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 C03E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C03E by 16⁰, multiply the second to last digit in C03E by 16¹, multiply the third to last digit in C03E by 16², multiply the fourth to last digit in C03E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
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 + 48 + 0 + 49152 = 49214

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.

49214 ÷ 2 = 24607 with 0 remainder
24607 ÷ 2 = 12303 with 1 remainder
12303 ÷ 2 = 6151 with 1 remainder
6151 ÷ 2 = 3075 with 1 remainder
3075 ÷ 2 = 1537 with 1 remainder
1537 ÷ 2 = 768 with 1 remainder
768 ÷ 2 = 384 with 0 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 C03E hexadecimal to binary:

C03E hexadecimal = 1100000000111110 binary

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C03F hexadecimal to binary
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