306C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 306C 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 306C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 306C by 16⁰, multiply the second to last digit in 306C by 16¹, multiply the third to last digit in 306C by 16², multiply the fourth to last digit in 306C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
6 × 16¹ = 96
0 × 16² = 0
3 × 16³ = 12288

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:

12 + 96 + 0 + 12288 = 12396

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.

12396 ÷ 2 = 6198 with 0 remainder
6198 ÷ 2 = 3099 with 0 remainder
3099 ÷ 2 = 1549 with 1 remainder
1549 ÷ 2 = 774 with 1 remainder
774 ÷ 2 = 387 with 0 remainder
387 ÷ 2 = 193 with 1 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 306C hexadecimal to binary:

306C hexadecimal = 11000001101100 binary

Hexadecimal to Binary Converter
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