C901 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C901 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 C901 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C901 by 16⁰, multiply the second to last digit in C901 by 16¹, multiply the third to last digit in C901 by 16², multiply the fourth to last digit in C901 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
0 × 16¹ = 0
9 × 16² = 2304
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:

1 + 0 + 2304 + 49152 = 51457

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.

51457 ÷ 2 = 25728 with 1 remainder
25728 ÷ 2 = 12864 with 0 remainder
12864 ÷ 2 = 6432 with 0 remainder
6432 ÷ 2 = 3216 with 0 remainder
3216 ÷ 2 = 1608 with 0 remainder
1608 ÷ 2 = 804 with 0 remainder
804 ÷ 2 = 402 with 0 remainder
402 ÷ 2 = 201 with 0 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 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 C901 hexadecimal to binary:

C901 hexadecimal = 1100100100000001 binary

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C902 hexadecimal to binary
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