309C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 309C 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 309C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 309C by 16⁰, multiply the second to last digit in 309C by 16¹, multiply the third to last digit in 309C by 16², multiply the fourth to last digit in 309C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
9 × 16¹ = 144
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 + 144 + 0 + 12288 = 12444

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.

12444 ÷ 2 = 6222 with 0 remainder
6222 ÷ 2 = 3111 with 0 remainder
3111 ÷ 2 = 1555 with 1 remainder
1555 ÷ 2 = 777 with 1 remainder
777 ÷ 2 = 388 with 1 remainder
388 ÷ 2 = 194 with 0 remainder
194 ÷ 2 = 97 with 0 remainder
97 ÷ 2 = 48 with 1 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 309C hexadecimal to binary:

309C hexadecimal = 11000010011100 binary

Hexadecimal to Binary Converter
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