C35C hexadecimal to binary

Here we will show you how to convert the hexadecimal number C35C 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 C35C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C35C by 16⁰, multiply the second to last digit in C35C by 16¹, multiply the third to last digit in C35C by 16², multiply the fourth to last digit in C35C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
5 × 16¹ = 80
3 × 16² = 768
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:

12 + 80 + 768 + 49152 = 50012

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.

50012 ÷ 2 = 25006 with 0 remainder
25006 ÷ 2 = 12503 with 0 remainder
12503 ÷ 2 = 6251 with 1 remainder
6251 ÷ 2 = 3125 with 1 remainder
3125 ÷ 2 = 1562 with 1 remainder
1562 ÷ 2 = 781 with 0 remainder
781 ÷ 2 = 390 with 1 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 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 C35C hexadecimal to binary:

C35C hexadecimal = 1100001101011100 binary

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