C12D hexadecimal to binary

Here we will show you how to convert the hexadecimal number C12D 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 C12D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C12D by 16⁰, multiply the second to last digit in C12D by 16¹, multiply the third to last digit in C12D by 16², multiply the fourth to last digit in C12D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
2 × 16¹ = 32
1 × 16² = 256
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:

13 + 32 + 256 + 49152 = 49453

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.

49453 ÷ 2 = 24726 with 1 remainder
24726 ÷ 2 = 12363 with 0 remainder
12363 ÷ 2 = 6181 with 1 remainder
6181 ÷ 2 = 3090 with 1 remainder
3090 ÷ 2 = 1545 with 0 remainder
1545 ÷ 2 = 772 with 1 remainder
772 ÷ 2 = 386 with 0 remainder
386 ÷ 2 = 193 with 0 remainder
193 ÷ 2 = 96 with 1 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 C12D hexadecimal to binary:

C12D hexadecimal = 1100000100101101 binary

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