9C hexadecimal to binary




Here we will show you how to convert the hexadecimal number 9C 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 9C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9C by 16⁰, multiply the second to last digit in 9C by 16¹, multiply the third to last digit in 9C by 16², multiply the fourth to last digit in 9C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
9 × 16¹ = 144

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 = 156

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.

156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 9C hexadecimal to binary:

9C hexadecimal = 10011100 binary


Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.



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