C494 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C494 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 C494 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C494 by 16⁰, multiply the second to last digit in C494 by 16¹, multiply the third to last digit in C494 by 16², multiply the fourth to last digit in C494 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
9 × 16¹ = 144
4 × 16² = 1024
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:

4 + 144 + 1024 + 49152 = 50324

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.

50324 ÷ 2 = 25162 with 0 remainder
25162 ÷ 2 = 12581 with 0 remainder
12581 ÷ 2 = 6290 with 1 remainder
6290 ÷ 2 = 3145 with 0 remainder
3145 ÷ 2 = 1572 with 1 remainder
1572 ÷ 2 = 786 with 0 remainder
786 ÷ 2 = 393 with 0 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 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 C494 hexadecimal to binary:

C494 hexadecimal = 1100010010010100 binary

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C495 hexadecimal to binary
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