C0CF hexadecimal to binary

Here we will show you how to convert the hexadecimal number C0CF 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 C0CF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C0CF by 16⁰, multiply the second to last digit in C0CF by 16¹, multiply the third to last digit in C0CF by 16², multiply the fourth to last digit in C0CF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
C × 16¹ = 192
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:

15 + 192 + 0 + 49152 = 49359

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.

49359 ÷ 2 = 24679 with 1 remainder
24679 ÷ 2 = 12339 with 1 remainder
12339 ÷ 2 = 6169 with 1 remainder
6169 ÷ 2 = 3084 with 1 remainder
3084 ÷ 2 = 1542 with 0 remainder
1542 ÷ 2 = 771 with 0 remainder
771 ÷ 2 = 385 with 1 remainder
385 ÷ 2 = 192 with 1 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 C0CF hexadecimal to binary:

C0CF hexadecimal = 1100000011001111 binary

Hexadecimal to Binary Converter
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