C186 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C186 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 C186 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C186 by 16⁰, multiply the second to last digit in C186 by 16¹, multiply the third to last digit in C186 by 16², multiply the fourth to last digit in C186 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
8 × 16¹ = 128
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:

6 + 128 + 256 + 49152 = 49542

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.

49542 ÷ 2 = 24771 with 0 remainder
24771 ÷ 2 = 12385 with 1 remainder
12385 ÷ 2 = 6192 with 1 remainder
6192 ÷ 2 = 3096 with 0 remainder
3096 ÷ 2 = 1548 with 0 remainder
1548 ÷ 2 = 774 with 0 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 C186 hexadecimal to binary:

C186 hexadecimal = 1100000110000110 binary

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C187 hexadecimal to binary
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